An object with a mass of $4 k g$ $4 kg$ is hanging from an axle with a radius of $8 c m$ $8 cm$ . If the wheel attached to the axle has a radius of $24 c m$ $24 cm$ , how much work would it take to turn the wheel $12 c m$ $12 cm$ ?

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Answer 1 · 2017-04-19T05:26:01

The work done is $= 1.57 J$ $=1.57J$

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The load $= (4 g) N$ $=(4g)N$

Radius of axle $r = 0.08 m$ $r=0.08m$

Radius of wheel $R = 0.24 m$ $R=0.24m$

Taking moments about the center of the axle

$F \cdot 0.24 = 4 \cdot g \cdot 0.08$ $F*0.24=4*g*0.08$

$F = \frac{4 \cdot g \cdot 0.08}{0.24} = 13.07 N$ $F=(4*g*0.08)/0.24=13.07N$

The work done is

$W = F \cdot d$ $W=F*d$

$= 13.07 \cdot 0.12$ $=13.07*0.12$

$= 1.57 J$ $=1.57J$

An object with a mass of 4 kg4kg4 kg is hanging from an axle with a radius of 8 cm8cm8 cm. If the wheel attached to the axle has a radius of 24 cm24cm24 cm, how much work would it take to turn the wheel 12 cm12cm12 cm?