Differential Gear Ratio
The gear ratio is the relationship between the engine angular frequency and the angular frequency of the vehicle's wheels.
The gear ratio is proportional to the tire diameter times the engine angular frequency divided by the vehicle speed.
Formula
![QuantityVariable["r", "Unitless"] == (Quantity[1/2, "Radians"^(-1)]*QuantityVariable["D", "Diameter"]*QuantityVariable["ω", "AngularFrequency"])/QuantityVariable["v", "Speed"]](https://www.wolframcloud.com/objects/resourcesystem/marketplacestorage/resources/729/72938c8f-420a-4313-b5be-c9937b5046cf/Webpage/FormulaImage.png "Copy to Clipboard")
| symbol | description | physical quantity |
|---|---|---|
| r | gear ratio | "Unitless" |
| D | tire diameter | "Diameter" |
| v | vehicle speed | "Speed" |
| ω | engine angular frequency | "AngularFrequency" |
Forms
Examples
Get the resource:
| In[1]:= | ![ResourceObject["Differential Gear Ratio"]](images/729/72938c8f-420a-4313-b5be-c9937b5046cf-io-1-i.en.gif){kind=small} |
| Out[1]= |  |
Get the formula:
| In[2]:= | ![FormulaData[ResourceObject["Differential Gear Ratio"]]](images/729/72938c8f-420a-4313-b5be-c9937b5046cf-io-2-i.en.gif){kind=small} |
| Out[2]= |  |
Use some values:
| In[3]:= | ![FormulaData[
ResourceObject[
"Differential Gear Ratio"], {QuantityVariable["r","Unitless"] ->
3.`}]](images/729/72938c8f-420a-4313-b5be-c9937b5046cf-io-3-i.en.gif){kind=small} |
| Out[3]= |  |