Answered

The actual mechanical advantage of a pulley is 2. The pulley has 3 supporting strings. What is the efficiency of the pulley?


50%

66%

100%

150%

Verified Answer :

Hagrid

Efficiency is the ability to avoid wasting energy, materials, money, time, and effort in producing a desired result. We know the formula to find the answer AMA/IMAx100. Three supporting strings should have given M.A. of 3 provided that this is without friction. Since there are only 2, the efficiency is 2/3 = 66%.


Answer:

66 %

Explanation:

The efficiency of a pulley is equal to the ratio between the Actual Mechanical Advantage (AMA) and the Ideal Mechanical Advantage (IMA):

\(\eta = \frac{AMA}{IMA}\)

In this problem, we have:

- The AMA of the pulley is 2 (given by the text)

- The IMA of the pulley is 3 (the pulley has 3 supporting strings, so its IMA is 3)

Therefore, the efficiency is

\(\eta=\frac{2}{3}\cdot 100=0.66 \cdot 100=66 \%\)