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 $6 cm$ ?

Question

1366 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-05-17T08:08:55

The work is $=1.22J$

![www.odicis.org]( useruploads.socratic.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

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

An object with a mass of 4 kg4 kg is hanging from an axle with a radius of 14 cm14 cm. If the wheel attached to the axle has a radius of 27 cm27 cm, how much work would it take to turn the wheel 6 cm6 cm?