An object with a mass of $5 kg$ is hanging from an axle with a radius of $18 cm$ . 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 · 2017-10-23T05:56:20

The work is $=1.89J$

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The load is $L=5gN$

The radius of the axle is $r=0.18m$

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

$F*0.42=5g*0.18$

$F=5g*0.18/0.42=21N$

The force is $F=21N$

The distance is $d=0.09N$

The work is $W=Fd=21*0.09=1.89J$

An object with a mass of 5 kg5 kg is hanging from an axle with a radius of 18 cm18 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?