An object with a mass of #8 kg# is hanging from an axle with a radius of #5 cm#. If the wheel attached to the axle has a radius of #45 cm#, how much work would it take to turn the wheel a length equal to the circumference of the axle?

1 Answer
Jul 2, 2017

Answer:

The work is #=2.74J#

Explanation:

enter image source here

The load #L=(8g)N#

Radius of axle #r=0.05m#

Radius of wheel #R=0.45m#

Taking moments about the center of the axle

#F*R=L*r#

#F*0.45=8*g*0.05#

#F=(8*g*0.05)/0.45=8.71N#

The force is #F=8.71N#

The distance is #d=2pir=2pi*0.05=0.1pim#

The work is

#W=Fd=8.71*0.1*pi=2.74J#