Question

A pulley system is used to lift a 2,000 newton engine up a distance of 3 meters. The operator must apply a force of 250 newtons to the chain of the pulley system to lift the motor. To lift the engine 3 meters, the operator must pull a total of 30 meters of chain through the pulley system. What is the value of do?

Answer 1

Answer:

The efficiency of the system is 80%.

Explanation:

Given that,

Output force = 2000 N

Distance = 3 m

Input force = 250 N

Distance = 30 m

Suppose we need to find the efficiency of the system

We need to calculate the efficiency of the system

Using formula of efficiency

$\eta=\dfrac{W_{o}}{W_{i}}=\dfrac{F_{o}\times d}{F_{i}\times d}$

Put the value into the formula

$\eta=\dfrac{2000\times3}{250\times30}$

$\eta=\dfrac{6000}{7500}$

$\eta=0.8$

$\eta=0.8\times100$

$\eta=80\%$

Hence, The efficiency of the system is 80%.