# An object with a mass of 7 kg is hanging from an axle with a radius of 15 cm. If the wheel attached to the axle has a radius of 125 cm, how much work would it take to turn the wheel a length equal to the circumference of the axle?

Feb 24, 2017

Work done $= 64.7 J$

#### Explanation:

Mass $= 7 k g$

Radius of axle $= 0.15 m$

Radius of wheel $= 1.25 m$

Cicumference of axle $= 2 \pi r = 2 \cdot 0.15 \cdot \pi = 0.94 m$

Work done $= m g h = 7 \cdot 9.8 \cdot 0.94 = 64.7 J$