Editing Inclinometer

{{Short description|Instrument used to measure the inclination of a surface relative to local gravity}}
{{About|static measurement of tilt|dynamic measurement|Tiltmeter}}
[[File:Eclimetro (disegno) IF 24935.jpg|thumb|Drawing of an inclinometer, Museo Galileo, Florence]]
[[File:Measuring Slope With a Clinometer 2.svg|right|200px|thumb|Measuring slope with a clinometer]]
An '''inclinometer''' or '''clinometer''' is an [[measuring instrument|instrument]] used for measuring angles of [[slope]], [[elevation]], or [[depression (geology)|depression]] of an object with respect to [[gravity]]'s direction. It is also known as a ''tilt indicator'', ''tilt sensor'', [[tiltmeter|''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: [[degree (angle)|degrees]], [[percentage point]]s, and topos. The [[Astrolabes|astrolabe]] is an example of an inclinometer that was used for [[celestial navigation]] and location of [[astronomical object]]s from [[ancient history|ancient times]] to the [[Renaissance]].

A ''tilt sensor'' can measure the [[wikt:tilt|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]]. Typical applications can be found in the industry and in game controllers. In aircraft, the "ball" in [[turn coordinator]]s or [[turn and bank indicator]]s is sometimes referred to as an inclinometer.

==History==
[[Image:Well's Clinometer - Project Gutenberg eText 19465.png|thumb|The Well's clinometer]]
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]], 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.<ref>{{Cite journal |last=Carolina Sparavigna |first=Amelia |date=2013 |title=The Science of Al-Biruni |url=http://www.ijsciences.com/pub/article/364 |journal=International Journal of Sciences |language=en |volume=-1 |issue=12 |pages=52–60 |doi=10.18483/ijSci.364 |s2cid=119230163 |issn=2305-3925|arxiv=1312.7288 }}</ref>

The [[Abney level]] is a handheld [[surveying]] 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]]) with the reflection of the bubble in the [[spirit level]] 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]] chose the lightweight Rieker Inc P-1057 Degree Inclinometer<ref>{{cite web|url=http://www.riekerinc.com/M-Inclinometer/ryan_nyp_spirit_of_st.htm|title=Rieker Inc P-1057 Degree Inclinometer|website=riekerinc.com|access-date=7 April 2018}}</ref>{{npsn|date=March 2025}} to give him climb and descent angle information.

==Uses==
[[Image:Shadow-square-stoffler large.webp|thumb|Measuring the distance across a stream]]
[[Image:Lot-stoffler-johannes-1452-1531-elucidatio-fabricae-usuque-astrolabii-6069643.jpg|thumb|upright|Measuring a building's height]]
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]] of geologic formations. In forestry, [[tree height measurement]] can be done with a clinometer using standardized methods including [[triangulation]]. Major [[artillery]] guns may have an associated clinometer used to facilitate aiming of shells over long distances.

Permanently-installed [[tiltmeter]]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]], 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.

<gallery class="center">
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]] capability with a [[Vickers machine gun]] circa 1918
File:Breithaupt Kassel 25704-271300.01.0 clinometer DSC03651.JPG|Mechanical spirit level clinometer with micrometer adjustment
</gallery>

==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]]. The tilt angle range is the range of desired linear output. <!-- doesn't matter what it's measured in, and last sentence just repeats the back end of the first -->

Common implementations of tilt sensors and inclinometers are accelerometer, [[Liquid capacitive inclinometers|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]] and [[Wii]] game controllers also use tilt as a means to play video games.

Inclinometers are also used in [[civil engineering]], for example, to measure the inclination of land to be built upon.

Some inclinometers provide an electronic interface based on [[Controller area network|CAN (Controller Area Network)]]. In addition, those inclinometers may support the standardized [[Canopen|CANopen]] profile (CiA 410). In this case, these inclinometers are compatible and partly interchangeable.

==Two-axis digital inclinometer==
[[File:DWL-8500.jpg|thumb|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 [[Microelectromechanical systems|MEMS]] tilt sensors provides simultaneous two-dimensional angle readings of a surface plane tangent to earth datum.

Typical advantages of using two-axis [[Microelectromechanical systems|MEMS]] 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]] ==
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.<ref>{{Cite web|url=https://www.posital.com/en/products/inclinometers/mems/MEMS-Technology.php|title=MEMS Inclinometer from POSITAL: How do they work?|last=POSITAL|website=Posital|access-date=2017-01-04}}</ref>

==Applications==
[[File:Inclinometer.svg|thumb|100px|Symbol used in geotechnical drawings]]
Inclinometers are used for:
* Determining latitude using [[Polaris]] (in the Northern Hemisphere) or the two stars of the constellation [[Crux]] (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]], 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]]. Such inclinometers are, for instance, used for monitoring [[volcano]]es, or for measuring the depth and rate of landslide movement.
* Measuring movements in walls or the ground in civil engineering projects.
* Determining the [[Strike and dip|dip of beds]] or strata, or the slope of an embankment or cutting; a kind of plumb level.
* Some automotive [[safety]] 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]] 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]].
* Measuring the angle of drilling in [[well logging]].
* Measuring the [[List (watercraft)|list]] of a [[ship]] in still water and the roll in rough water.
* Measuring steepness of a [[ski slope]].
* Measuring the orientation of [[plane (mathematics)|planes]] and [[lineation (geology)|lineations]] in rocks, in combination with a [[compass]], in [[structural geology]].
* Measuring [[range of motion]] in the joints of the body<ref>{{cite web |url=http://www.jtechmedical.com/Tracker-Freedom-Wireless-Instruments/tracker-freedom-wireless-dual-inclinometry |title=Tracker Freedom® Wireless Dual Inclinometry &#124; Tracker Freedom® Wireless Instruments &#124; Products and Solutions |access-date=2013-07-19 |url-status=dead |archive-url=https://web.archive.org/web/20130703114313/http://jtechmedical.com/Tracker-Freedom-Wireless-Instruments/tracker-freedom-wireless-dual-inclinometry |archive-date=2013-07-03 }}</ref>
* Measuring the inclination angle of the [[human pelvis|pelvis]]. Numerous neck and back measurements require the simultaneous use of two inclinometers.<ref>{{cite web|url=http://www.quickmedical.com/fabrication-enterprises-j-tech-dualer-iq-inclinometer-12-1059.html|title=Inclinometer – Digital Inclinometers – J-Tech Dualer IQ 12-1059|website=quickmedical|access-date=7 April 2018|archive-date=8 April 2018|archive-url=https://web.archive.org/web/20180408205846/https://www.quickmedical.com/fabrication-enterprises-j-tech-dualer-iq-inclinometer-12-1059.html|url-status=dead}}</ref>
* 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.<ref>{{cite web|title=New Tilt Sensor Helps to Prevent Unsafe Working Conditions|url=http://www.frederickscompany.com/news-events/226-new-tilt-sensor-helps-to-prevent-unsafe-working-conditions|publisher=www.frederickscompany.com|archive-url=https://web.archive.org/web/20160923095457/http://www.frederickscompany.com/news-events/226-new-tilt-sensor-helps-to-prevent-unsafe-working-conditions|archive-date=23 September 2016|url-status=dead}}</ref>
* The [[United States Department of Agriculture|USDA]] [[United States Forest Service|Forest Service]] uses tilt sensors (or inclinometers) to measure tree height in its [[Forest Inventory and Analysis]] program.
* [[Logistics]] and [[transport]] also use [[Tilt detector|tilt indicators]], it is a specific system for single use. They are attached to the products during the shipping process.

===Games===
[[Nintendo]] used tilt sensor technology in five games for its [[Game Boy]] 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]])(not released in Europe)
* [[Command Master]] ([[Game Boy Color]])(Japan only)

Tilt sensors can also be found in game controllers such as the [[Microsoft Sidewinder]] Freestyle Pro and Sony's [[PlayStation 3]] 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]] and the [[Wii Remote#Nunchuk|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]]ing and flight simulators. It can be used for sport gaming, [[first-person shooter]], 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)]].

== See also ==
* [[Grade (slope)]]
* [[Goniometer]]
* [[Hypsometer]]
* [[Liquid capacitive inclinometers]]
* [[Theodolite]]
* [[Tiltmeter]]

==References==
{{reflist}}

== External links ==
{{Commons category|Inclinometers}}
* [http://www.inclinometer.blogspot.com Inclinometer Blog – General Inclinometer Information]
* [https://www.posital.com/en/products/inclinometers/mems/MEMS-Technology.php MEMS inclinometer and technical specifications]
* [https://www.vigordigital.com/Products.html?product_category=28 Inclinometers] {{Webarchive|url=https://web.archive.org/web/20190222043332/https://www.vigordigital.com/Products.html?product_category=28 |date=2019-02-22 }}

{{Forestry tools}}
{{Geotechnical engineering}}

[[Category:Inclinometers| ]]
[[Category:Dimensional instruments]]
[[Category:Forestry tools]]
[[Category:Surveying instruments]]

[[de:Neigungssensor]]