Question:
If the angular displacement made by a rotating wheel in 10 s is $150\pi$ radian, then the number of revolutions made by it is:
If the angular displacement made by a rotating wheel in 10 s is $150\pi$ radian, then the number of revolutions made by it is:
Show Hint
To convert radians to revolutions, divide by $2\pi$. Time is irrelevant unless you are calculating frequency or angular velocity.
Updated On: Apr 28, 2026
- 75
- 100
- 300
- 150
- 50
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The Correct Option is A
Solution and Explanation
Step 1: Concept
One full revolution is equal to $2\pi$ radians.
Step 2: Analysis
Total angular displacement $\theta = 150\pi$ radians.
Step 3: Calculation
Number of revolutions $N = \frac{\theta}{2\pi} = \frac{150\pi}{2\pi} = 75$. Final Answer: (A)
One full revolution is equal to $2\pi$ radians.
Step 2: Analysis
Total angular displacement $\theta = 150\pi$ radians.
Step 3: Calculation
Number of revolutions $N = \frac{\theta}{2\pi} = \frac{150\pi}{2\pi} = 75$. Final Answer: (A)
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