Centripetal Acceleration Using Rotation Speed
Centripetal acceleration is the rate of change of velocity of an object with respect to time as it moves in a circular path.
Centripetal acceleration equals rotational speed squared divided by the radius of the path.
Formula
![Copy to Clipboard QuantityVariable["a", "Acceleration"] == QuantityVariable["v", "Speed"]^2/QuantityVariable["r", "Radius"]](https://www.wolframcloud.com/objects/resourcesystem/marketplacestorage/resources/7f2/7f200385-b11f-468c-b1c9-b028b6635f96/Webpage/FormulaImage.png)
| symbol | description | physical quantity |
|---|---|---|
| a | centripetal acceleration | "Acceleration" |
| r | radius | "Radius" |
| v | rotation speed | "Speed" |
Forms
Examples
Get the resource:
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| Out[1]= | ![]() |
Get the formula:
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Use some values:
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![FormulaData[
ResourceObject[
"Centripetal Acceleration Using Rotation Speed"], {QuantityVariable[
"a","Acceleration"] -> Quantity[1, ("Meters")/("Seconds")^2],
QuantityVariable["v","Speed"] ->
Quantity[1, ("Meters")/("Seconds")]}]](images/7f2/7f200385-b11f-468c-b1c9-b028b6635f96-io-3-i.en.gif)