An object with a mass of $4 kg$ is hanging from an axle with a radius of $8 cm$ . If the wheel attached to the axle has a radius of $24 cm$ , how much work would it take to turn the wheel $22 cm$ ?

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Answer 1 · 2017-07-17T10:27:48

The work is $=2.87J$

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The load $L=(4g)N$

Radius of axle $r=0.08m$

Radius of wheel $R=0.24m$

Taking moments about the center of the axle

$F*R=L*r$

$F*0.24=4g*0.08$

$F=(4*g*0.08)/0.24=13.07N$

The force is $F=13.07N$

The distance is $d=0.22m$

The work is

$W=Fd=13.07*0.22=2.87J$

An object with a mass of 4 kg4 kg is hanging from an axle with a radius of 8 cm8 cm. If the wheel attached to the axle has a radius of 24 cm24 cm, how much work would it take to turn the wheel 22 cm22 cm?