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 $4 cm$ ?

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Answer 1 · 2017-09-25T12:27:13

The work is $=0.52J$

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The load is $L=4gN$

The radius of the axle is $r=0.08m$

The radius of the wheel is $R=0.24m$

The effort is $=FN$

Taking moments about the center of the axle

$F*0.24=4g*0.08$

Plugging in the value of $g=9.8ms^-2$

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

The force is $F=13.07N$

The distance is $=0.04m$

The work is $W=Fd=13.07*0.04=0.52J$

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 4 cm4 cm?