An object with a mass of $5 k g$ $5 kg$ is hanging from an axle with a radius of $24 c m$ $24 cm$ . If the wheel attached to the axle has a radius of $15 c m$ $15 cm$ , how much work would it take to turn the wheel a length equal to the circumference of the axle?

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Answer 1 · 2017-04-08T08:50:09

The work done is $= 118.2 J$ $=118.2J$

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The load $= (5 g) N$ $=(5g)N$

Radius of axle $r = 0.24 m$ $r=0.24m$

Radius of wheel $R = 0.15 m$ $R=0.15m$

Taking moments about the center of the axle

$F \cdot 0.15 = 5 \cdot g \cdot 0.24$ $F*0.15=5*g*0.24$

$F = \frac{5 \cdot g \cdot 0.24}{0.15} = 78.4 N$ $F=(5*g*0.24)/0.15=78.4N$

The work done is

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

$d = 2 \cdot π \cdot 0.24$ $d=2*pi*0.24$

$W = 78.4 \cdot π \cdot 0.48 = 118.2 J$ $W=78.4*pi*0.48=118.2J$

An object with a mass of 5kg5 kg is hanging from an axle with a radius of 24cm24 cm. If the wheel attached to the axle has a radius of 15cm15 cm, how much work would it take to turn the wheel a length equal to the circumference of the axle?