An object with a mass of #5 kg# is hanging from an axle with a radius of #8 cm#. If the wheel attached to the axle has a radius of #56 cm#, how much work would it take to turn the wheel a length equal to the circumference of the axle?

1 Answer
May 9, 2018

Answer:

The work is #=24.63J#

Explanation:

www.odicis.org

The load is #L=5gN#

The radius of the axle is #r=0.08m#

The radius of the wheel is #R=0.56m#

The effort is #=FN#

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

Taking moments about the center of the axle

#F*0.56=5g*0.08#

#F=(5g*0.08)/0.56=7N#

The force is #F=7N#

The distance is #d=2piR=2*pi*0.56=3.52m#

The work is

#W=Fxxd=7*3.52=24.63J#