Question

A pulley system lifts a 500-lb. block 2.0 feet with an effort of only 50 lb. If the 50 lb. moves 30 feet, calculate the efficiency of the pulley system.

Answer 1

the answer to this is 67%

Answer 2

Efficiency of the pulley system is 66.7 %

Step-by-step explanation:

It is given that,

Input force,
`F_(in)=500\ lb`

Distance, d₁ = 2 feet

Output force,
`F_(out)=50\ lb`

Distance, d₂ = 30 feet

The efficiency of pulley system is defined as ratio of output work done to the input work done i.e.

`\eta=(W_(out))/(W_(in))`

`\eta=(500* 2)/(50* 30)* 100`

`\eta=66.7\%`

Hence, the efficiency of the pulley system is 66.7 %