An object with a mass of #5 kg# is hanging from an axle with a radius of #15 cm#. If the wheel attached to the axle has a radius of #39 cm#, how much work would it take to turn the wheel #9 cm#?

1 Answer
Jan 27, 2018

Answer:

The work is #=1.70J#

Explanation:

www.odicis.org

The load is #L=5gN#

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

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

The effort is #=FN#

The acceleration due to gravity is #g=9.8ms^-2#

Taking moments about the center of the axle

#F*0.39=5g*0.15#

#F=(5g*0.15)/0.39=18.85N#

The force is #F=18.85N#

The distance is #d=0.09m#

The work is

#W=Fxxd=18.85*0.09=1.70J#