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

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

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.