Question
A resistance force is 158 N and the AMA is 4. What is the effort force?
Answers
GPT-4o mini
To find the effort force when given the resistance force and the actual mechanical advantage (AMA), you can use the formula:
\[
\text{AMA} = \frac{\text{Resistance Force}}{\text{Effort Force}}
\]
Rearranging the formula to solve for the effort force gives:
\[
\text{Effort Force} = \frac{\text{Resistance Force}}{\text{AMA}}
\]
Now, substituting the given values:
- Resistance Force = 158 N
- AMA = 4
Let's calculate the effort force:
\[
\text{Effort Force} = \frac{158 \, \text{N}}{4} = 39.5 \, \text{N}
\]
Therefore, the effort force is **39.5 N**.
\[
\text{AMA} = \frac{\text{Resistance Force}}{\text{Effort Force}}
\]
Rearranging the formula to solve for the effort force gives:
\[
\text{Effort Force} = \frac{\text{Resistance Force}}{\text{AMA}}
\]
Now, substituting the given values:
- Resistance Force = 158 N
- AMA = 4
Let's calculate the effort force:
\[
\text{Effort Force} = \frac{158 \, \text{N}}{4} = 39.5 \, \text{N}
\]
Therefore, the effort force is **39.5 N**.