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 $39 c m$ $39 cm$ , how much work would it take to turn the wheel $9 c m$ $9 cm$ ?

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Answer 1 · 2018-01-27T07:01:12

The work is $= 1.70 J$ $=1.70J$

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The load is $L = 5 g N$ $L=5gN$

The radius of the axle is $r = 0.15 m$ $r=0.15m$

The radius of the wheel is $R = 0.39 m$ $R=0.39m$

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

$F \cdot 0.39 = 5 g \cdot 0.15$ $F*0.39=5g*0.15$

$F = \frac{5 g \cdot 0.15}{0.39} = 18.85 N$ $F=(5g*0.15)/0.39=18.85N$

The force is $F = 18.85 N$ $F=18.85N$

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

The work is

$W = F \times d = 18.85 \cdot 0.09 = 1.70 J$ $W=Fxxd=18.85*0.09=1.70J$

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 39cm39 cm, how much work would it take to turn the wheel 9cm9 cm?