Question
A construction worker uses a board and a log as a lever to lift a heavy rock. If the input arm is 3 meters long and the output arm is 0.75 meters long, what is the mechanical advantage?
A. 8
B. 2.25
C. 4
D. 0.25
A. 8
B. 2.25
C. 4
D. 0.25
Answers
GPT-4o mini
The mechanical advantage (MA) of a lever can be calculated using the formula:
\[
\text{MA} = \frac{\text{Length of Input Arm}}{\text{Length of Output Arm}}
\]
In this case, the input arm is 3 meters long and the output arm is 0.75 meters long. Plugging these values into the formula:
\[
\text{MA} = \frac{3 \, \text{m}}{0.75 \, \text{m}} = 4
\]
Therefore, the mechanical advantage is:
**C. 4**
\[
\text{MA} = \frac{\text{Length of Input Arm}}{\text{Length of Output Arm}}
\]
In this case, the input arm is 3 meters long and the output arm is 0.75 meters long. Plugging these values into the formula:
\[
\text{MA} = \frac{3 \, \text{m}}{0.75 \, \text{m}} = 4
\]
Therefore, the mechanical advantage is:
**C. 4**