An object with a mass of #300 kg# is hanging from an axle with a radius of #5 cm#. If the wheel attached to the axle has a radius of #85 cm#, how much work would it take to turn the wheel a length equal to the circumference of the axle?

1 Answer
Jan 17, 2018

Answer:

The work is #=923.6J#

Explanation:

www.odicis.org

The load is #L=300gN#

The radius of the axle is #r=0.05m#

The radius of the wheel is #R=0.85m#

The effort is #=FN#

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

Taking moments about the center of the axle

#F*0.85=300g*0.05#

#F=(300g*0.05)/0.85=172.9N#

The force is #F=172.9N#

The distance is #d=2piR=2xxpixx0.85=1.7pim#

The work is #W=Fxxd#

#W=172.9*1.7pi=923.6J#