Question

12. A particle of mass 1kg is rotated in a horizontal circle of radius 1m and moves with a velocity of 2m/s in magnitude. The work done in one revolution would be

Answer 1

Answer:

0 J

Explanation:

As in circular motion displacement is zero.

work = force × displacement

= force × 0

= 0 J

Answer 2

Answer:

The work done in a single revolution is always zero in a circular motion.

Explanation:

• The force exerted and the distance travelled in the direction of the force applied constitute the work done on an object.
• In a circular motion, the displacement and force are always perpendicular to each other.
• W = F.S = FS cosθ, where θ is the angle between the force vector and the displacement vector.
• θ = 90° in circular motion.
• cos θ = cos 90° = 0
• W = FS cosθ = FS cos 90°= FS (0) = 0
• No work will be done in a circular motion.

Thus, the work done in one revolution will be zero.

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