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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.
- 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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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? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about 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? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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?.
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? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about 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? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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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