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A fan rotating at 1200 rev/min is brought under uniform deceleration and stopped in 4 min. Find the angular deceleration in rad/sec^2?
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A fan rotating at 1200 rev/min is brought under uniform deceleration a...
Given:
- Initial angular velocity, ω1 = 1200 rev/min
- Final angular velocity, ω2 = 0 rev/min
- Time taken, t = 4 min

To find:
- Angular deceleration, α in rad/sec^2

Formula used:
- Angular acceleration, α = (ω2 - ω1) / t

Solution:
Given that the initial angular velocity is 1200 rev/min, we need to convert it into rad/sec.

Conversion from rev/min to rad/sec:
- 1 revolution = 2π radians
- 1 minute = 60 seconds

So, 1200 rev/min = 1200 * 2π radians / 60 seconds = 40π radians/sec

Now, we can substitute the values into the formula to find the angular deceleration.

Substituting the values:
α = (ω2 - ω1) / t
= (0 - 40π) / (4 * 60)
= -40π / 240
= -π / 6 rad/sec^2

Answer:
The angular deceleration is -π / 6 rad/sec^2.
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A fan rotating at 1200 rev/min is brought under uniform deceleration and stopped in 4 min. Find the angular deceleration in rad/sec^2?
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