An object with a mass of $5 kg$ is hanging from an axle with a radius of $15 cm$ . If the wheel attached to the axle has a radius of $42 cm$ , how much work would it take to turn the wheel $9 cm$ ?

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Answer 1 · 2017-07-16T06:46:15

The work is $=1.575J$

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The load $L=(5g)N$

Radius of axle $r=0.15m$

Radius of wheel $R=0.42m$

Taking moments about the center of the axle

$F*R=L*r$

$F*0.42=5g*0.15$

$F=(5*g*0.15)/0.42=17.5N$

The force is $F=17.5N$

The distance is $d=0.09m$

The work is

$W=Fd=17.5*0.09=1.575J$

An object with a mass of 5 kg5 kg is hanging from an axle with a radius of 15 cm15 cm. If the wheel attached to the axle has a radius of 42 cm42 cm, how much work would it take to turn the wheel 9 cm9 cm?