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A wheel rotates 3.5 times in one second. What time (in seconds) does the wheel take to rotate 55 radian of angle?   (SSC CGL 2nd Sit. 2012)
  • a)
    1.5
  • b)
    2.5
  • c)
    3.5
  • d)
    4.5
Correct answer is option 'B'. Can you explain this answer?
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A wheel rotates 3.5 times in one second. What time (in seconds) does t...
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A wheel rotates 3.5 times in one second. What time (in seconds) does t...
Given:
- The wheel rotates 3.5 times in one second.

To find:
- The time taken by the wheel to rotate 55 radians of angle.

Formula:
- The angle rotated by a wheel in one revolution is 2π radians.
- The number of revolutions is given by the formula: number of revolutions = angle rotated / 2π radians.
- The time taken is given by the formula: time taken = number of revolutions / frequency.

Calculation:
- The angle rotated by the wheel in one revolution is 2π radians.
- The angle rotated by the wheel in 3.5 revolutions is 3.5 * 2π radians = 7π radians.
- The time taken by the wheel to rotate 7π radians is 1 second.

Now, we can calculate the time taken by the wheel to rotate 55 radians:
- We know that the angle rotated by the wheel in 7π radians is 1 second.
- Therefore, the angle rotated by the wheel in 55 radians is (55 / 7π) * 7π radians = 55 radians.
- The time taken by the wheel to rotate 55 radians is (55 / 7π) * 1 second.

Simplifying the expression:
- The time taken by the wheel to rotate 55 radians is (55 / 7π) * 1 second.
- Using the value of π as approximately 3.14, we can calculate the time taken as (55 / (7 * 3.14)) * 1 second.
- Simplifying further, we get (55 / 21.98) * 1 second.

Calculating the final answer:
- The time taken by the wheel to rotate 55 radians is approximately 2.50 seconds.

Conclusion:
- The wheel takes approximately 2.50 seconds to rotate 55 radians of angle.
- Therefore, the correct answer is option 'B' - 2.5 seconds.
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A wheel rotates 3.5 times in one second. What time (in seconds) does the wheel take to rotate 55 radian of angle? (SSC CGL 2nd Sit. 2012)a)1.5b)2.5c)3.5d)4.5Correct answer is option 'B'. Can you explain this answer?
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