Question

An inclined plane is pulling a drum of 50 kg with a force of 25 N. Calculate the mechanical advantage, and what will be its velocity ratio if its efficiency is 40%.

A. Mechanical advantage: 2; Velocity ratio: 1.5
B. Mechanical advantage: 1.5; Velocity ratio: 2
C. Mechanical advantage: 2; Velocity ratio: 2
D. Mechanical advantage: 1.5; Velocity ratio: 1.5

Answer 1

There seems to be a misunderstanding or error with the mechanics question as the calculated mechanical advantage does not match any of the given options. Further clarification on the question is needed to provide an accurate answer.

Step-by-step explanation:

To calculate the mechanical advantage (MA) of the inclined plane, we use the ratio of the weight of the drum to the force applied:

MA = Weight / Force

MA = (50 kg × 9.8 m/s2) / 25 N

MA = 490 N / 25 N

MA = 19.6

However, none of the options provided match this calculation, so there may be an error or misunderstanding in the question itself. The efficiency (η) of a machine is calculated using the formula:

η = (MA / VR) × 100%

Where VR is the velocity ratio. If efficiency is 40%, rearranging the formula gives us:

VR = MA / (η / 100%)

But since we don't have a correct MA from the given options, we cannot accurately calculate VR based on the given efficiency. The other part of the exercise description seems to be for a different situation involving a nail puller, which is not directly related to the inclined plane scenario the student asked about.