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

`3.47`

Step-by-step 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=(F_o)/(F_i)\\\Rightarrow MA=(1549)/(446)\\\Rightarrow MA=3.47`

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