$A$ body moves along a circular path. How much work is done in doing so? Explain.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(0) When a body moves along a circular path,the centripetal force acting on it is always directed towards the center of the circle (along the radius).
The displacement of the body at any instant is along the tangent to the circular path at that point.
Since the radius and the tangent at any point on a circle are perpendicular to each other,the angle $\theta$ between the force $(F)$ and the displacement $(S)$ is $90^{\circ}$.
The formula for work done is $W = F S \cos \theta$.
Substituting $\theta = 90^{\circ}$,we get $W = F S \cos 90^{\circ}$.
Since $\cos 90^{\circ} = 0$,the work done $W = 0$.

Explore More

Similar Questions

$A$ boy throws a rubber ball vertically upwards. What type of work is done: $(a)$ by the force applied by the boy,and $(b)$ by the gravitational force? Support your answer with reasons.

Name the practical unit of power in engineering.

$(a)$ State the law of conservation of energy. Explain it with one example.
$(b)$ Two girls,each of weight $400 \, N$,climb up a rope to a height of $8 \, m$. Girl $A$ takes $20 \, s$ while Girl $B$ takes $50 \, s$ to accomplish the task. What is the power expended by each girl?
$(c)$ An electric heater is rated $1500 \, W$. How much energy does it use in $10 \, h$?

What is the work done by a coolie walking on a horizontal platform with a load on his head?

The work done on an object does not depend upon the

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo