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 $14 cm$ , how much work would it take to turn the wheel $7 cm$ ?

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Answer 1 · 2018-01-19T17:42:38

The work is $=5.145J$

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The load is $L=5gN$

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

The radius of the wheel is $R=0.14m$

The effort is $=FN$

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

Taking moments about the center of the axle

$F*0.14=5g*0.21$

$F=(5g*0.21)/0.14=73.5N$

The force is $F=73.5N$

The distance is $d=0.07m$

The work is $W=Fxxd$

$W=73.5*0.07=5.145J$

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 14 cm14 cm, how much work would it take to turn the wheel 7 cm7 cm?