A worker uses a pulley system to raise a 550 N carton 8.25 m. A force of 150 N is exerted and the rope is pulled 25 m. What is the IMA of the system?

Answer 1

The Ideal Mechanical Advantage (IMA) of a pulley system can be calculated using the formula:

\[ \text{IMA} = \frac{\text{Distance input (effort distance)}}{\text{Distance output (load distance)}} \]

In this case:

• The distance input (effort distance) is the length of rope pulled, which is 25 m.
• The distance output (load distance) is the height the carton is raised, which is 8.25 m.

Now, substituting the values into the formula:

\[ \text{IMA} = \frac{25 , \text{m}}{8.25 , \text{m}} \approx 3.03 \]

Therefore, the Ideal Mechanical Advantage (IMA) of the pulley system is approximately 3.03.