An object with a mass of $4 k g$ $4 kg$ is hanging from an axle with a radius of $15 m$ $15 m$ . If the wheel attached to the axle has a radius of $18 m$ $18 m$ , how much force is needed to raise the object?

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Answer 1 · 2017-05-05T06:34:32

The force is $= 32.7 N$ $=32.7N$

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The load L=(4g)N#

Radius of axle $r = 15 m$ $r=15m$

Radius of wheel $R = 18 m$ $R=18m$

Taking moments about the center of the axle

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

$F \cdot 18 = 4 \cdot g \cdot 15$ $F*18=4*g*15$

$F = \frac{4 \cdot g \cdot 15}{18} = 32.7 N$ $F=(4*g*15)/18=32.7N$

An object with a mass of 4 kg4kg4 kg is hanging from an axle with a radius of 15 m15m15 m. If the wheel attached to the axle has a radius of 18 m18m18 m, how much force is needed to raise the object?