An object with a mass of #4 kg# is hanging from an axle with a radius of #14 cm#. If the wheel attached to the axle has a radius of #27 cm#, how much work would it take to turn the wheel #6 cm#?

1 Answer
May 17, 2018

Answer:

The work is #=1.22J#

Explanation:

www.odicis.org

The load is #L=4gN#

The radius of the axle is #r=0.14m#

The radius of the wheel is #R=0.27m#

The effort is #=FN#

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

Taking moments about the center of the axle

#F*0.27=4g*0.14#

#F=(4g*0.14)/0.27=20.33N#

The force is #F=20.33N#

The distance is #d=0.06cm#

The work done is

#W=Fd=20.33xx0.06=1.22J#