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:
| In[1]:= | ![ResourceObject["Centripetal Acceleration Using Rotation Speed"]](images/7f2/7f200385-b11f-468c-b1c9-b028b6635f96-io-1-i.en.gif) | 
| Out[1]= |  | 
Get the formula:
| In[2]:= | ![FormulaData[
 ResourceObject["Centripetal Acceleration Using Rotation Speed"]]](images/7f2/7f200385-b11f-468c-b1c9-b028b6635f96-io-2-i.en.gif) | 
| Out[2]= |  | 
Use some values:
| In[3]:= | ![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) | 
| Out[3]= |  | 
 
                 
                