An inclinometer or clinometer is an
instrument used for measuring angles of
slope
In mathematics, the slope or gradient of a Line (mathematics), line is a number that describes the direction (geometry), direction of the line on a plane (geometry), plane. Often denoted by the letter ''m'', slope is calculated as the ratio of t ...
,
elevation
The elevation of a geographic location (geography), ''location'' is its height above or below a fixed reference point, most commonly a reference geoid, a mathematical model of the Earth's sea level as an equipotential gravitational equipotenti ...
, or
depression of an object with respect to
gravity
In physics, gravity (), also known as gravitation or a gravitational interaction, is a fundamental interaction, a mutual attraction between all massive particles. On Earth, gravity takes a slightly different meaning: the observed force b ...
's direction. It is also known as a ''tilt indicator'', ''tilt sensor'',
''tilt meter'', ''slope alert'', ''slope gauge'', ''gradient meter'', ''gradiometer'', ''level gauge'', ''level meter'', ''declinometer'', and ''pitch & roll indicator''. Clinometers measure both inclines and declines using three different units of measure:
degrees,
percentage point
A percentage point or percent point is the unit (measurement), unit for the difference (mathematics), arithmetic difference between two percentages. For example, moving up from 40 percent to 44 percent is an increase of 4 percentage points (altho ...
s, and topos. The
astrolabe
An astrolabe (; ; ) is an astronomy, astronomical list of astronomical instruments, instrument dating to ancient times. It serves as a star chart and Model#Physical model, physical model of the visible celestial sphere, half-dome of the sky. It ...
is an example of an inclinometer that was used for
celestial navigation
Celestial navigation, also known as astronavigation, is the practice of position fixing using stars and other celestial bodies that enables a navigator to accurately determine their actual current physical position in space or on the surface ...
and location of
astronomical object
An astronomical object, celestial object, stellar object or heavenly body is a naturally occurring physical entity, association, or structure that exists within the observable universe. In astronomy, the terms ''object'' and ''body'' are of ...
s from
ancient times
Ancient history is a time period from the History of writing, beginning of writing and recorded human history through late antiquity. The span of recorded history is roughly 5,000 years, beginning with the development of Sumerian language, ...
to the
Renaissance
The Renaissance ( , ) is a Periodization, period of history and a European cultural movement covering the 15th and 16th centuries. It marked the transition from the Middle Ages to modernity and was characterized by an effort to revive and sur ...
.
A ''tilt sensor'' can measure the
tilting in often two axes of a reference plane in two axes.
In contrast, a full motion would use at least three axes and often additional sensors. One way to measure tilt angle with reference to the earth's ground plane, is to use an
accelerometer
An accelerometer is a device that measures the proper acceleration of an object. Proper acceleration is the acceleration (the rate of change (mathematics), rate of change of velocity) of the object relative to an observer who is in free fall (tha ...
. Typical applications can be found in the industry and in game controllers. In aircraft, the "ball" in
turn coordinators or
turn and bank indicators is sometimes referred to as an inclinometer.
History
Inclinometers include examples such as Well's in-clinometer, the essential parts of which are a flat side, or base, on which it stands, and a hollow disc just half filled with some heavy liquid. The glass face of the disc is surrounded by a graduated scale that marks the angle at which the surface of the liquid stands, with reference to the flat base. The zero line is parallel to the base, and when the liquid stands on that line, the flat side is horizontal; the 90 degree is perpendicular to the base, and when the liquid stands on that line, the flat side is perpendicular or plumb. Intervening angles are marked, and, with the aid of simple
conversion tables, the instrument indicates the rate of fall per set distance of horizontal measurement, and set distance of the sloping line.
Al-Biruni
Abu Rayhan Muhammad ibn Ahmad al-Biruni (; ; 973after 1050), known as al-Biruni, was a Khwarazmian Iranian scholar and polymath during the Islamic Golden Age. He has been called variously "Father of Comparative Religion", "Father of modern ...
, a Persian polymath, once wanted to measure the height of the sun. He lacked the necessary equipment to measure this height. He was forced to create a calibrated arc on the back of a counting board, which he then used as a makeshift quadrant with the help of a plumb line. He determined the location's latitude using the measurements taken with this rudimentary tool. This quadrant was most likely an inclinometer based on the quarter-circle panel.
The
Abney level is a handheld
surveying
Surveying or land surveying is the technique, profession, art, and science of determining the land, terrestrial Plane (mathematics), two-dimensional or Three-dimensional space#In Euclidean geometry, three-dimensional positions of Point (geom ...
instrument developed in the 1870s that includes a sighting tube and inclinometer, arranged so that the surveyor may align the sighting tube (and its
crosshair
A reticle or reticule, also known as a graticule or crosshair, is a pattern of fine lines or markings built into the eyepiece of an optical device such as a telescopic sight, spotting scope, theodolite, optical microscope or the screen of ...
) with the reflection of the bubble in the
spirit level
A spirit level, bubble level, or simply a level, is an Measuring instrument, instrument designed to indicate whether a surface is Horizontal plane, horizontal (level) or vertical direction, vertical (plumb-bob, plumb).
Two basic designs exis ...
of the inclinometer when the line of sight is at the angle set on the inclinometer.
One of the more famous inclinometer installations was on the panel of the Ryan NYP "
The Spirit of St. Louis" aircraft built for the first nonstop transatlantic flight—in 1927
Charles Lindbergh
Charles Augustus Lindbergh (February 4, 1902 – August 26, 1974) was an American aviator, military officer, and author. On May 20–21, 1927, he made the first nonstop flight from New York (state), New York to Paris, a distance of . His aircra ...
chose the lightweight Rieker Inc P-1057 Degree Inclinometer to give him climb and descent angle information.
Uses
Hand-held clinometers are used for a variety of surveying and measurement tasks. In land surveying and mapping, a clinometer can provide a rapid measurement of the slope of a geographic feature, or used for
cave survey. In prospecting for minerals, clinometers are used to measure the
strike and dip
In geology, strike and dip is a measurement convention used to describe the plane orientation or Attitude (geometry), attitude of a Plane (geometry), planar Geology, geologic feature. A feature's strike is the azimuth of an imagined horizontal ...
of geologic formations. In forestry,
tree height measurement can be done with a clinometer using standardized methods including
triangulation
In trigonometry and geometry, triangulation is the process of determining the location of a point by forming triangles to the point from known points.
Applications
In surveying
Specifically in surveying, triangulation involves only angle m ...
. Major
artillery
Artillery consists of ranged weapons that launch Ammunition, munitions far beyond the range and power of infantry firearms. Early artillery development focused on the ability to breach defensive walls and fortifications during sieges, and l ...
guns may have an associated clinometer used to facilitate aiming of shells over long distances.
Permanently-installed
tiltmeter
A tiltmeter is a sensitive inclinometer designed to measure very small changes from the vertical level, either on the ground or in structures. Tiltmeters are used extensively for monitoring volcanoes, the response of dams to filling, the small ...
s are emplaced at major earthworks such as dams to monitor the long-term stability of the structure.
Factors which influence the use of inclinometers
(Overall accuracy varies depending on the type of tilt sensor (or inclinometer) and technology used)
* Gravity
* Temperature (drift), zero offset, linearity, vibration, shock, cross-axis sensitivity, acceleration/deceleration.
* A clear line of sight between the user and the measured point is needed.
* A well defined object is required to obtain the maximum precision.
* The angle measurement precision and accuracy is limited to slightly better than one arcsec.
Accuracy
Certain highly sensitive electronic inclinometer sensors can achieve an output resolution to 0.0001°; depending on the technology and angle range, it may be limited to 0.001°. An inclinometer sensor's true or absolute accuracy (which is the combined total error), however, is a combination of initial sets of sensor zero offset and sensitivity, sensor linearity,
hysteresis
Hysteresis is the dependence of the state of a system on its history. For example, a magnet may have more than one possible magnetic moment in a given magnetic field, depending on how the field changed in the past. Plots of a single component of ...
, repeatability, and the temperature drifts of zero and sensitivity—electronic inclinometers accuracy can typically range from ±0.01–2° depending on the sensor and situation. Typically in room ambient conditions the accuracy is limited to the sensor linearity specification.
File:Blériot Monoplane Inclinometer.jpg, Blériot Monoplane Inclinometer
File:InclinometerMeteor.jpg, Nautical wall inclinometer
File:Clinometerlow.jpg, Simple clinometer
File:Digital protractor.jpg, Digital protractor
File:Vickers Clino R.JPG, Clinometer designed to enable indirect fire
Indirect fire is aiming and firing a projectile without relying on a direct line of sight between the gun and its target, as in the case of direct fire. Aiming is performed by calculating azimuth and inclination, and may include correcting ...
capability with a Vickers machine gun
The Vickers machine gun or Vickers gun is a Water cooling, water-cooled .303 British (7.7 mm) machine gun produced by Vickers Limited, originally for the British Army. The gun was operated by a three-man crew but typically required more me ...
circa 1918
File:Breithaupt Kassel 25704-271300.01.0 clinometer DSC03651.JPG, Mechanical spirit level clinometer with micrometer adjustment
Sensor technology
Tilt sensors and inclinometers generate an
artificial horizon and measure angular tilt with respect to this horizon. They are used in cameras, aircraft flight controls, automobile security systems, and speciality switches and are also used for platform leveling, boom angle indication, and in other applications requiring measurement of tilt.
Important specifications to consider for tilt sensors and inclinometers are the tilt angle range and the number of axes. The axes are usually, but not always,
orthogonal
In mathematics, orthogonality (mathematics), orthogonality is the generalization of the geometric notion of ''perpendicularity''. Although many authors use the two terms ''perpendicular'' and ''orthogonal'' interchangeably, the term ''perpendic ...
. The tilt angle range is the range of desired linear output.
Common implementations of tilt sensors and inclinometers are accelerometer,
liquid capacitive, electrolytic, gas bubble in liquid, and pendulum.
Tilt sensor technology has also been implemented in video games. ''
Yoshi's Universal Gravitation'' and ''
Kirby Tilt 'n' Tumble'' are both built around a tilt sensor mechanism, which is built into the cartridge. The
PlayStation 3
The PlayStation 3 (PS3) is a home video game console developed and marketed by Sony Computer Entertainment (SCE). It is the successor to the PlayStation 2, and both are part of the PlayStation brand of consoles. The PS3 was first released on ...
and
Wii game controllers also use tilt as a means to play video games.
Inclinometers are also used in
civil engineering
Civil engineering is a regulation and licensure in engineering, professional engineering discipline that deals with the design, construction, and maintenance of the physical and naturally built environment, including public works such as roads ...
, for example, to measure the inclination of land to be built upon.
Some inclinometers provide an electronic interface based on
CAN (Controller Area Network). In addition, those inclinometers may support the standardized
CANopen
CANopen is a communication protocol stack and device profile specification for embedded systems used in automation. In terms of the OSI model, CANopen implements the layers above and including the network layer. The CANopen standard consists of an ...
profile (CiA 410). In this case, these inclinometers are compatible and partly interchangeable.
Two-axis digital inclinometer

Traditional spirit levels and pendulum-based electronic leveling instruments are usually constrained by only single-axis and narrow tilt measurement range. However, most precision leveling, angle measurement, alignment and surface flatness profiling tasks essentially involve a two-dimensional surface plane angle rather than two independent orthogonal single-axis objects. Two-axis inclinometers that are built with
MEMS
MEMS (micro-electromechanical systems) is the technology of microscopic devices incorporating both electronic and moving parts. MEMS are made up of components between 1 and 100 micrometres in size (i.e., 0.001 to 0.1 mm), and MEMS devices ...
tilt sensors provides simultaneous two-dimensional angle readings of a surface plane tangent to earth datum.
Typical advantages of using two-axis
MEMS
MEMS (micro-electromechanical systems) is the technology of microscopic devices incorporating both electronic and moving parts. MEMS are made up of components between 1 and 100 micrometres in size (i.e., 0.001 to 0.1 mm), and MEMS devices ...
inclinometers over conventional single-axis "bubble" or mechanical leveling instruments may include:
* Simultaneous measurement of two-dimensional (X-Y plane) tilt angles (i.e. pitch & roll), can eliminate tedious swapping back-and-forth experienced when using a single-axis level, for example to adjust machine footings to attain a precise leveling position.
* Digital compensation and precise calibration for non-linearity, for example for operating temperature variation, resulting in higher accuracy over a wider measurement range.
* The accelerometer sensors may generate numerical data in the form of vibration profiles to enable a machine installer to track and assess alignment quality in real-time and verify a structure's positional stability by comparing leveling profiles before and after it is set up.
Inclinometer with
gyroscope
A gyroscope (from Ancient Greek γῦρος ''gŷros'', "round" and σκοπέω ''skopéō'', "to look") is a device used for measuring or maintaining Orientation (geometry), orientation and angular velocity. It is a spinning wheel or disc in ...
As inclinometers measure the angle of an object with respect to the force of gravity, external accelerations like rapid motions, vibrations or shocks will introduce errors in the tilt measurements. To overcome this problem, it is possible to use a gyroscope in addition to an accelerometer. Any of the abovementioned accelerations have a huge impact on the accelerometer, but a limited effect on the measured rotation rates of the gyroscope. An algorithm can combine both signals to get the best value out of each sensor. This way it is possible to separate the actual tilt angle from the errors introduced by external accelerations.
Applications

Inclinometers are used for:
* Determining latitude using
Polaris
Polaris is a star in the northern circumpolar constellation of Ursa Minor. It is designated α Ursae Minoris (Latinisation of names, Latinized to ''Alpha Ursae Minoris'') and is commonly called the North Star or Pole Star. With an ...
(in the Northern Hemisphere) or the two stars of the constellation
Crux
CRUX is a lightweight x86-64 Linux distribution targeted at experienced Linux users and delivered by a tar.gz-based package system with BSD-style initscripts. It is not based on any other Linux distribution. It also utilizes a ports system ...
(in the Southern Hemisphere).
* Determining the angle of the Earth's magnetic field with respect to the horizontal plane.
* Showing a deviation from the true vertical or horizontal.
*
Surveying
Surveying or land surveying is the technique, profession, art, and science of determining the land, terrestrial Plane (mathematics), two-dimensional or Three-dimensional space#In Euclidean geometry, three-dimensional positions of Point (geom ...
, to measure an angle of inclination or elevation.
* Alerting an equipment operator that it may tip over.
* Measuring angles of elevation, slope, or incline, e.g. of an embankment.
* Measuring slight differences in slopes, particularly for
geophysics
Geophysics () is a subject of natural science concerned with the physical processes and Physical property, properties of Earth and its surrounding space environment, and the use of quantitative methods for their analysis. Geophysicists conduct i ...
. Such inclinometers are, for instance, used for monitoring
volcano
A volcano is commonly defined as a vent or fissure in the crust of a planetary-mass object, such as Earth, that allows hot lava, volcanic ash, and gases to escape from a magma chamber below the surface.
On Earth, volcanoes are most oft ...
es, or for measuring the depth and rate of landslide movement.
* Measuring movements in walls or the ground in civil engineering projects.
* Determining the
dip of beds or strata, or the slope of an embankment or cutting; a kind of plumb level.
* Some automotive
safety
Safety is the state of being protected from harm or other danger. Safety can also refer to the control of recognized hazards in order to achieve an acceptable level of risk.
Meanings
The word 'safety' entered the English language in the 1 ...
systems.
* Indicating pitch and roll of vehicles, nautical craft, and aircraft. See
turn coordinator and
slip indicator.
* Monitoring the boom angle of cranes and material handlers.
* Measuring the "look angle" of a satellite antenna towards a satellite.
* Adjusting a
solar panel
A solar panel is a device that converts sunlight into electricity by using photovoltaic (PV) cells. PV cells are made of materials that produce excited electrons when exposed to light. These electrons flow through a circuit and produce direct ...
to the optimal angle to maximize its output.
* Measuring the slope angle of a tape or chain during distance measurement.
* Measuring the height of a building, tree, or other feature using a vertical angle and a distance (determined by taping or pacing), using
trigonometry
Trigonometry () is a branch of mathematics concerned with relationships between angles and side lengths of triangles. In particular, the trigonometric functions relate the angles of a right triangle with ratios of its side lengths. The fiel ...
.
* Measuring the angle of drilling in
well logging
Well logging, also known as borehole logging is the practice of making a detailed record (a ''well log'') of the geologic formations penetrated by a borehole. The log may be based either on visual inspection of samples brought to the surface ( ...
.
* Measuring the
list
A list is a Set (mathematics), set of discrete items of information collected and set forth in some format for utility, entertainment, or other purposes. A list may be memorialized in any number of ways, including existing only in the mind of t ...
of a
ship
A ship is a large watercraft, vessel that travels the world's oceans and other Waterway, navigable waterways, carrying cargo or passengers, or in support of specialized missions, such as defense, research and fishing. Ships are generally disti ...
in still water and the roll in rough water.
* Measuring steepness of a
ski slope.
* Measuring the orientation of
planes and
lineations in rocks, in combination with a
compass
A compass is a device that shows the cardinal directions used for navigation and geographic orientation. It commonly consists of a magnetized needle or other element, such as a compass card or compass rose, which can pivot to align itself with No ...
, in
structural geology
Structural geology is the study of the three-dimensional distribution of rock units with respect to their deformational histories. The primary goal of structural geology is to use measurements of present-day rock geometries to uncover informati ...
.
* Measuring
range of motion
Range of motion (or ROM) is the linear or angular distance that a moving object may normally travel while properly attached to another.
In biomechanics and strength training, ROM refers to the angular distance and direction a joint can move be ...
in the joints of the body
* Measuring the inclination angle of the
pelvis
The pelvis (: pelves or pelvises) is the lower part of an Anatomy, anatomical Trunk (anatomy), trunk, between the human abdomen, abdomen and the thighs (sometimes also called pelvic region), together with its embedded skeleton (sometimes also c ...
. Numerous neck and back measurements require the simultaneous use of two inclinometers.
* Measuring the angle of elevation, and ultimately computing the altitudes of, many things otherwise inaccessible for direct measurement.
* Measuring and fine tuning the angle of
line array speaker hangs. Confirmation of the angle achieved via use of a laser built into the
remote inclinometer.
* Setting correct orientation of solar panels while installing
* Setting firing angle of a cannon or gun (determines projectile range)
* Electronic games
* Help prevent unsafe working conditions.
* The
USDA
The United States Department of Agriculture (USDA) is an United States federal executive departments, executive department of the Federal government of the United States, United States federal government that aims to meet the needs of commerc ...
Forest Service uses tilt sensors (or inclinometers) to measure tree height in its
Forest Inventory and Analysis program.
*
Logistics
Logistics is the part of supply chain management that deals with the efficient forward and reverse flow of goods, services, and related information from the point of origin to the Consumption (economics), point of consumption according to the ...
and
transport
Transport (in British English) or transportation (in American English) is the intentional Motion, movement of humans, animals, and cargo, goods from one location to another. Mode of transport, Modes of transport include aviation, air, land tr ...
also use
tilt indicators, it is a specific system for single use. They are attached to the products during the shipping process.
Games
Nintendo
is a Japanese Multinational corporation, multinational video game company headquartered in Kyoto. It develops, publishes, and releases both video games and video game consoles.
The history of Nintendo began when craftsman Fusajiro Yamauchi ...
used tilt sensor technology in five games for its
Game Boy
The is a handheld game console developed by Nintendo, launched in the Japanese home market on April 21, 1989, followed by North America later that year and other territories from 1990 onwards. Following the success of the Game & Watch single-ga ...
series of hand-held game systems. The tilt sensor allows players to control aspects of the game by twisting the game system. Games that use this feature:
* ''
Yoshi's Universal Gravitation'' (Game Boy Advance)
* ''
WarioWare: Twisted!'' (Game Boy Advance)(not released in Europe)
* ''
Koro Koro Puzzle Happy Panechu!'' (Game Boy Advance)(Japan only)
* ''
Kirby Tilt 'n' Tumble'' (
Game Boy Color
The (GBC or CGB) is an 8-bit handheld game console developed by Nintendo. It was released in Japan on October 21, 1998, and to international markets that November. Compared to the original Game Boy, the Game Boy Color features a color TFT scre ...
)(not released in Europe)
*
Command Master (
Game Boy Color
The (GBC or CGB) is an 8-bit handheld game console developed by Nintendo. It was released in Japan on October 21, 1998, and to international markets that November. Compared to the original Game Boy, the Game Boy Color features a color TFT scre ...
)(Japan only)
Tilt sensors can also be found in game controllers such as the
Microsoft Sidewinder
Microsoft SideWinder is a former brand name for a family of video gaming peripherals developed by Microsoft for Personal computer, PCs. It was initially marketed from 1995 to 2003 consisting of game controllers, then again from 2007 until the ear ...
Freestyle Pro and Sony's
PlayStation 3
The PlayStation 3 (PS3) is a home video game console developed and marketed by Sony Computer Entertainment (SCE). It is the successor to the PlayStation 2, and both are part of the PlayStation brand of consoles. The PS3 was first released on ...
controller.
However, unlike these other controllers in which the tilt sensor serves as a supplement to normal control methods, it serves as one of the central features of Nintendo's
Wii Remote
The Wii Remote, colloquially known as the Wiimote, is the primary game controller for Nintendo's Wii home video game console. An essential capability of the Wii Remote is its motion sensing capability, which allows the user to interact with an ...
and the
Nunchuk attachment. Along with accelerometers, the tilt sensors are a primary method of control in most
Wii games.
It is now being used in many different aspects, instead of just games like
motocross
Motocross is a form of off-road motorcycle racing held on enclosed off-road circuits. The sport evolved from motorcycle trials competitions held in the United Kingdom.
History
Motocross first evolved in Britain from motorcycle trials competi ...
ing and flight simulators. It can be used for sport gaming,
first-person shooter
A first-person shooter (FPS) is a video game genre, video game centered on gun fighting and other weapon-based combat seen from a First person (video games), first-person perspective, with the player experiencing the action directly through t ...
, and other odd uses such as in ''
WarioWare: Smooth Moves''
Another example is a virtual version of a wooden maze with obstacles in which you have to maneuver a ball by tilting the maze. A homebrew tilt sensor interface was made for the
Palm (PDA)
Palm is a now discontinued line of personal digital assistants (PDAs) and mobile phones developed by California-based Palm, Inc., originally called Palm Computing, Inc. Palm devices are often remembered as "the first wildly popular handheld co ...
.
See also
*
Grade (slope)
The grade (US) or gradient (UK) (also called stepth, slope, incline, mainfall, pitch or rise) of a physical feature, landform or constructed line is either the elevation angle of that surface to the horizontal plane, horizontal or its tangent. I ...
*
Goniometer
*
Hypsometer
*
Liquid capacitive inclinometers
*
Theodolite
A theodolite () is a precision optical instrument for measuring angles between designated visible points in the horizontal and vertical planes. The traditional use has been for land surveying, but it is also used extensively for building and ...
*
Tiltmeter
A tiltmeter is a sensitive inclinometer designed to measure very small changes from the vertical level, either on the ground or in structures. Tiltmeters are used extensively for monitoring volcanoes, the response of dams to filling, the small ...
References
External links
Inclinometer Blog – General Inclinometer InformationMEMS inclinometer and technical specifications
{{Geotechnical engineering
Dimensional instruments
Forestry tools
Surveying instruments
de:Neigungssensor