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A flywheel on a motor goes from rest to 1000 rpm in 6 sec. The number of revolutions made is nearly equal to

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Correct Answer: Option B
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3 Comments
Agha Sherazi
Agha Sherazi 5 years ago
Intial angular velocity , ω₀ = 0 [because flywheel moves from rest ]
final angular velocity, ω = 1000 rpm = 1000/60 rev/sec
Time taken , t = 6 sec

We know, the formula,
ω = ω₀ + αt
Where α is angular acceleration.
1000/60 = 0 + α6
α = 1000/360 = 100/36 = 25/9 rev/s²

Now, use formula
θ = ω₀t + 1/2αt²
= 0 + 1/2 × 25/9 × (6)²
= 1/2 × 25/9 × 36
= 1/2 × 25 × 4
= 50 rev
Firoz Khan
Firoz Khan 7 years ago
Ans : v = u + at
1000/60 = 0 + 6a
a = 2.78
S = ut +. 5at^2
= 0 +. 5 * 2.78 * 36
= 50
Infinite Knowledge
Infinite Knowledge 7 years ago
How to get the answer?