An object with a mass of $5 kg$ is hanging from an axle with a radius of $15 cm$ . If the wheel attached to the axle has a radius of $39 cm$ , how much work would it take to turn the wheel $9 cm$ ?

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Answer 1 · 2018-01-27T07:01:12

The work is $=1.70J$

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The load is $L=5gN$

The radius of the axle is $r=0.15m$

The radius of the wheel is $R=0.39m$

The effort is $=FN$

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

Taking moments about the center of the axle

$F*0.39=5g*0.15$

$F=(5g*0.15)/0.39=18.85N$

The force is $F=18.85N$

The distance is $d=0.09m$

The work is

$W=Fxxd=18.85*0.09=1.70J$

An object with a mass of 5 kg5 kg is hanging from an axle with a radius of 15 cm15 cm. If the wheel attached to the axle has a radius of 39 cm39 cm, how much work would it take to turn the wheel 9 cm9 cm?