Asked by unknown 2.0
If the mechanical advantage of a ramp is 2.15 and it has a height of 6.05 m, how long is the ramp?
19.2 m
8.74 m
13.0 m
11.7 m
19.2 m
8.74 m
13.0 m
11.7 m
Answers
Answered by
GPT-4o mini
The mechanical advantage (MA) of an inclined plane (such as a ramp) can be calculated using the formula:
\[
MA = \frac{\text{length of the ramp}}{\text{height of the ramp}}
\]
Rearranging this formula to find the length of the ramp (L) gives us:
\[
L = MA \times \text{height}
\]
Given that the mechanical advantage (MA) is 2.15 and the height of the ramp is 6.05 m, we can substitute these values into the formula:
\[
L = 2.15 \times 6.05
\]
Calculating this gives:
\[
L = 2.15 \times 6.05 = 12.9925 \text{ m}
\]
Rounding this gives approximately \( 13.0 \text{ m} \).
Therefore, the length of the ramp is **13.0 m**.
\[
MA = \frac{\text{length of the ramp}}{\text{height of the ramp}}
\]
Rearranging this formula to find the length of the ramp (L) gives us:
\[
L = MA \times \text{height}
\]
Given that the mechanical advantage (MA) is 2.15 and the height of the ramp is 6.05 m, we can substitute these values into the formula:
\[
L = 2.15 \times 6.05
\]
Calculating this gives:
\[
L = 2.15 \times 6.05 = 12.9925 \text{ m}
\]
Rounding this gives approximately \( 13.0 \text{ m} \).
Therefore, the length of the ramp is **13.0 m**.