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**The angular velocity of a wheel increases from 100 rps to 300 rps in 10 seconds. The number of revolutions made during that time is **

### Options

(a) 600

(b) 1500

(c) 1000

(d) 2000

### Correct Answer:

2000

### Explanation:

Assuming constant angular acceleration,

α=2πx300-2πx100/10

=2πx200/10

=40 π radius/s²

ω²f-ω²i=2α.θ

θ=4π²(90000-10000)/2×2πx20

=2π(80000)/40

=2πx2000

.·. Total number of revolutions=2000.

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Topics: Motion of system of Particles and Rigid Body
(73)

Subject: Physics
(2479)

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Average rate = (100+300)/2 = 200 rotation per second

In 10 second rotation = 200×10=2000