An object with a mass of $4 kg$ is hanging from an axle with a radius of $16 cm$ . If the wheel attached to the axle has a radius of $12 cm$ , how much work would it take to turn the wheel $8 cm$ ?

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Answer 1 · 2018-04-04T11:24:34

The work is $=4.18J$

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The load is $L=4gN$

The radius of the axle is $r=0.16m$

The radius of the wheel is $R=0.12m$

The effort is $=FN$

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

Taking moments about the center of the axle

$F*0.12=4g*0.16$

$F=(4g*0.16)/0.12=52.3N$

The force is $F=52.3N$

The distance is $d=0.08m$

The work is

$W=Fxxd=52.3*0.08=4.18J$

An object with a mass of 4 kg4 kg is hanging from an axle with a radius of 16 cm16 cm. If the wheel attached to the axle has a radius of 12 cm12 cm, how much work would it take to turn the wheel 8 cm8 cm?