An object with a mass of $3 k g$ $3 kg$ is hanging from an axle with a radius of $6 c m$ $6 cm$ . If the wheel attached to the axle has a radius of $12 c m$ $12 cm$ , how much work would it take to turn the wheel $3 c m$ $3 cm$ ?

Question

1246 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-03-26T12:35:01

The work done is $= 0.44 J$ $=0.44J$

enter image source here

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

Radius of axle $r = 0.06 m$ $r=0.06m$

Radius of wheel $R = 0.12 m$ $R=0.12m$

Taking moments about the center of the axle

$F \cdot 0.12 = 3 \cdot g \cdot 0.06$ $F*0.12=3*g*0.06$

$F = \frac{3 \cdot g \cdot 0.06}{0.12} = \frac{3}{2} g = 14.7 N$ $F=(3*g*0.06)/0.12=3/2g=14.7N$

The work done is

$W = F \cdot d = 14.7 \cdot 0.03 = 0.44 J$ $W=F*d=14.7*0.03=0.44J$

An object with a mass of 3kg3 kg is hanging from an axle with a radius of 6cm6 cm. If the wheel attached to the axle has a radius of 12cm12 cm, how much work would it take to turn the wheel 3cm3 cm?