An object with a mass of $4 k g$ $4 kg$ is hanging from an axle with a radius of $36 c m$ $36 cm$ . If the wheel attached to the axle has a radius of $8 c m$ $8 cm$ , how much work would it take to turn the wheel $36 c m$ $36 cm$ ?

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Answer 1 · 2017-10-16T05:52:13

The work is $= 63.5 J$ $=63.5J$

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The load is $L = 4 g N$ $L=4gN$

The radius of the axle is $r = 0.36 m$ $r=0.36m$

The radius of the wheel is $R = 0.08 m$ $R=0.08m$

The effort is $= F N$ $=FN$

The acceleration due to gravity is $g = 9.8 m s^{- 2}$ $g=9.8ms^-2$

Taking moments about the center of the axle

$F \cdot 0.08 = 4 g \cdot 0.36$ $F*0.08=4g*0.36$

$F = 4 g \cdot \frac{0.36}{0.08} = 176.4 N$ $F=4g*0.36/0.08=176.4N$

The force is $F = 176.4 N$ $F=176.4N$

The distance is $d = 0.36 m$ $d=0.36m$

The work is $W = F d = 176.4 \times 0.36 = 63.5 J$ $W=Fd=176.4xx0.36=63.5J$

An object with a mass of 4 kg4kg4 kg is hanging from an axle with a radius of 36 cm36cm36 cm. If the wheel attached to the axle has a radius of 8 cm8cm8 cm, how much work would it take to turn the wheel 36 cm36cm36 cm?