Question
In a wheel and axle, the radius of the wheel is 20 cm and the radius of the axle is 4 cm. What is the mechanical advantage?
Answers
GPT-4o mini
The mechanical advantage (MA) of a wheel and axle can be calculated using the formula:
\[
\text{MA} = \frac{\text{Radius of the wheel}}{\text{Radius of the axle}}
\]
In this case:
- Radius of the wheel \( R_w = 20 \) cm
- Radius of the axle \( R_a = 4 \) cm
Substituting these values into the formula gives:
\[
\text{MA} = \frac{20 \, \text{cm}}{4 \, \text{cm}} = 5
\]
Therefore, the mechanical advantage of the wheel and axle is 5.
\[
\text{MA} = \frac{\text{Radius of the wheel}}{\text{Radius of the axle}}
\]
In this case:
- Radius of the wheel \( R_w = 20 \) cm
- Radius of the axle \( R_a = 4 \) cm
Substituting these values into the formula gives:
\[
\text{MA} = \frac{20 \, \text{cm}}{4 \, \text{cm}} = 5
\]
Therefore, the mechanical advantage of the wheel and axle is 5.