An object with a mass of $5 kg$ is hanging from an axle with a radius of $21 cm$ . If the wheel attached to the axle has a radius of $42 cm$ , how much work would it take to turn the wheel $25 cm$ ?

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Answer 1 · 2018-04-25T15:15:49

The work is $=6.125J$

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The load is $L=5gN$

The radius of the axle is $r=0.21m$

The radius of the wheel is $R=0.42m$

The effort is $=FN$

The acceleration due to gravity is $g=9.8ms^-2$

Taking moments about the center of the axle

$F*0.42=5g*0.21$

$F=(5g*0.21)/0.42=24.5N$

The force is $F=24.5N$

The distance is $d=0.25m$

The work done is

$W=Fd=24.5*0.25=6.125J$

An object with a mass of 5 kg5 kg is hanging from an axle with a radius of 21 cm21 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 25 cm25 cm?