An object with a mass of $4 kg$ is hanging from an axle with a radius of $18 cm$ . If the wheel attached to the axle has a radius of $24 cm$ , how much work would it take to turn the wheel $32 cm$ ?

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Answer 1 · 2017-03-18T14:50:52

The work done is $=9.41J$

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The load $=4gN$

Radius of axle $r=0.18m$

Radius of wheel $R=0.24m$

Taking moments about the center of the axle

$F*0.24=4*g*0.18$

$F=(4*g*0.18)/0.24=3g=29.4N$

The work done is

$W=F*d$

$=29.4*0.32=9.41J$

An object with a mass of 4 kg4 kg is hanging from an axle with a radius of 18 cm18 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 32 cm32 cm?