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Mechanical Advantage of a Wheel and Axle

Mechanical advantage is a measure of the force amplification achieved by using a tool—in this case, a wheel and axle.

The mechanical advantage of a wheel and axle is the wheel radius divided by the axle radius.

Formula

QuantityVariable["MA", "Unitless"] == QuantityVariable[Subscript["r", "w"], "Length"]/QuantityVariable[Subscript["r", "a"], "Length"]

symbol description physical quantity
MA mechanical advantage "Unitless"
ra axle radius "Length"
rw wheel radius "Length"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Mechanical Advantage of a Wheel and Axle"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[
 ResourceObject["Mechanical Advantage of a Wheel and Axle"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[
 ResourceObject[
  "Mechanical Advantage of a Wheel and Axle"], {QuantityVariable[
\!\(\*SubscriptBox[\("r"\), \("a"\)]\),"Length"] -> 
   Quantity[5, "Centimeters"]}]
Out[3]=

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