An object with a mass of $5 k g$ $5 kg$ is hanging from an axle with a radius of $15 c m$ $15 cm$ . If the wheel attached to the axle has a radius of $42 c m$ $42 cm$ , how much work would it take to turn the wheel $9 c m$ $9 cm$ ?

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Answer 1 · 2017-07-16T06:46:15

The work is $= 1.575 J$ $=1.575J$

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

Radius of axle $r = 0.15 m$ $r=0.15m$

Radius of wheel $R = 0.42 m$ $R=0.42m$

Taking moments about the center of the axle

$F \cdot R = L \cdot r$ $F*R=L*r$

$F \cdot 0.42 = 5 g \cdot 0.15$ $F*0.42=5g*0.15$

$F = \frac{5 \cdot g \cdot 0.15}{0.42} = 17.5 N$ $F=(5*g*0.15)/0.42=17.5N$

The force is $F = 17.5 N$ $F=17.5N$

The distance is $d = 0.09 m$ $d=0.09m$

The work is

$W = F d = 17.5 \cdot 0.09 = 1.575 J$ $W=Fd=17.5*0.09=1.575J$

An object with a mass of 5kg5 kg is hanging from an axle with a radius of 15cm15 cm. If the wheel attached to the axle has a radius of 42cm42 cm, how much work would it take to turn the wheel 9cm9 cm?