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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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Average rate = (100+300)/2 = 200 rotation per second
In 10 second rotation = 200×10=2000