An object with a mass of $3 k g$ $3 kg$ is hanging from an axle with a radius of $3 c m$ $3 cm$ . 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 a length equal to the circumference of the axle?

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Answer 1 · 2017-04-13T05:50:57

The work done is $= 0.69 J$ $=0.69J$

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The load $= (3 g) N$ $=(3g)N$

Radius of axle $r = 0.03 m$ $r=0.03m$

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

Taking moments about the center of the axle

$F \cdot 0.24 = 3 \cdot g \cdot 0.03$ $F*0.24=3*g*0.03$

$F = \frac{3 \cdot g \cdot 0.03}{0.24} = 3.675 N$ $F=(3*g*0.03)/0.24=3.675N$

The distance is

$d = 2 \cdot π \cdot 0.03 = 0.06 π$ $d=2*pi*0.03=0.06pi$

The work done is

$W = F \cdot d = 3.675 \cdot 0.06 π = 0.69 J$ $W=F*d=3.675*0.06pi=0.69J$

An object with a mass of 3kg3 kg is hanging from an axle with a radius of 3cm3 cm. If the wheel attached to the axle has a radius of 24cm24 cm, how much work would it take to turn the wheel a length equal to the circumference of the axle?