# An object with a mass of 3 kg is hanging from an axle with a radius of 6 cm. If the wheel attached to the axle has a radius of 12 cm, how much work would it take to turn the wheel 8 cm?

Jun 15, 2017

The work is $= 1.176 J$

#### Explanation:

The load $L = \left(3 g\right) N$

Radius of axle $r = 0.06 m$

Radius of wheel $R = 0.12 m$

Taking moments about the center of the axle

$F \cdot R = L \cdot r$

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

$F = \frac{3 \cdot g \cdot 0.06}{0.12} = 14.7 N$

The force is $F = 14.7 N$

The distance is $d = 0.08 m$

The work is $W = F \cdot d = 14.7 \cdot 0.08 = 1.176 J$