Question

A roofer needs to get a stack of shingles onto a roof. Pulling the shingles up manually uses 1,549 n of force. The roofer decides that it would be easier to use a system of pulleys to raise the shingles. Using the pulleys, 446 n are required to lift the shingles. What is the mechanical advantage of the system of pulleys? Explain your answer

Answer 1

Answer:

$3.47$

Explanation:

Mechanical advantage is given by the ratio of output force by input force.

$F_o$ = Output force = $1549\ \text{N}$

$F_i$ = Input force = $446\ \text{N}$

So,

$MA=\dfrac{F_o}{F_i}\\\Rightarrow MA=\dfrac{1549}{446}\\\Rightarrow MA=3.47$

The mechanical advantage of the pulley's is $3.47$.