Centripetal Force Using Rotation Speed
A centripetal force is a force that makes a body follow a curved path. Its direction is always orthogonal to the motion of the body and toward the fixed point of the instantaneous center of curvature of the path.
Centripetal force equals mass times the rotational speed squared divided by the radius of the path.
Formula
![QuantityVariable["F", "Force"] == (QuantityVariable["m", "Mass"]*QuantityVariable["v", "Speed"]^2)/QuantityVariable["r", "Radius"]](https://www.wolframcloud.com/objects/resourcesystem/marketplacestorage/resources/091/091a01e3-d660-41d9-bb47-878408ee02dc/Webpage/FormulaImage.png "Copy to Clipboard")
| symbol | description | physical quantity |
|---|---|---|
| F | centripetal force | "Force" |
| m | mass | "Mass" |
| r | radius | "Radius" |
| v | rotation speed | "Speed" |
Forms
Examples
Get the resource:
| In[1]:= | ![ResourceObject["Centripetal Force Using Rotation Speed"]](images/091/091a01e3-d660-41d9-bb47-878408ee02dc-io-1-i.en.gif){kind=small} |
| Out[1]= |  |
Get the formula:
| In[2]:= | ![FormulaData[ResourceObject["Centripetal Force Using Rotation Speed"]]](images/091/091a01e3-d660-41d9-bb47-878408ee02dc-io-2-i.en.gif){kind=small} |
| Out[2]= |  |
Use some values:
| In[3]:= | ![FormulaData[
ResourceObject[
"Centripetal Force Using Rotation Speed"], {QuantityVariable[
"r","Radius"] -> Quantity[1, "Meters"],
QuantityVariable["v","Speed"] ->
Quantity[1, ("Meters")/("Seconds")],
QuantityVariable["F","Force"] -> Quantity[1, "Newtons"]}]](images/091/091a01e3-d660-41d9-bb47-878408ee02dc-io-3-i.en.gif){kind=small} |
| Out[3]= |  |