An object with a mass of $7 k g$ $7 kg$ 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 $55 c m$ $55 cm$ , 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 · 2017-06-03T12:30:25

The work is $= 17.63 J$ $=17.63J$

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The load L=(7g)N#

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

Radius of wheel $R = 0.55 m$ $R=0.55m$

Taking moments about the center of the axle

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

$F \cdot 0.55 = 7 \cdot g \cdot 0.15$ $F*0.55=7*g*0.15$

$F = \frac{7 \cdot g \cdot 0.15}{0.55} = 18.71 N$ $F=(7*g*0.15)/0.55=18.71N$

The force is $= 18.71 N$ $=18.71N$

The distance is $= 2 π r = 2 \cdot 0.15 \cdot π = 0.3 π$ $=2pir=2*0.15*pi=0.3pi$

The work is

$W = F \cdot d = 18.71 \cdot 0.3 π = 17.63 J$ $W=F*d=18.71*0.3pi=17.63J$

An object with a mass of 7kg7 kg is hanging from an axle with a radius of 15cm15 cm. If the wheel attached to the axle has a radius of 55cm55 cm, how much work would it take to turn the wheel a length equal to the circumference of the axle?