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A disc is rotating with an angular velocity of 5 rad/s. It comes to rest in 4 seconds with a uniform angular deceleration. What is the angular deceleration?
  • a)
    0.25 rad/s2
  • b)
    0.625 rad/s2
  • c)
    1.25 rad/s2
  • d)
    1.5625 rad/s2
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A disc is rotating with an angular velocity of 5 rad/s. It comes to re...
Given data:
- Initial angular velocity (ω0) = 5 rad/s
- Final angular velocity (ω) = 0 rad/s
- Time (t) = 4 s

We need to find the angular deceleration.

The formula to calculate angular deceleration is:
Angular deceleration (α) = (ω - ω0) / t

Substituting the given values:
α = (0 - 5) / 4
α = -5/4
α = -1.25 rad/s²

But the question asks for the magnitude of angular deceleration, so we take the absolute value of α.

Hence, the magnitude of the angular deceleration is 1.25 rad/s².

Correct answer: c) 1.25 rad/s²
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Community Answer
A disc is rotating with an angular velocity of 5 rad/s. It comes to re...
The angular deceleration is given by the formula α = -ω/t, where α is the angular deceleration, ω is the initial angular velocity, and t is the time.
Substituting the given values, we have α = -5 rad/s / 4 s = -1.25 rad/s2.
However, since the question asks for the magnitude of angular deceleration, we take the absolute value, giving us 1.25 rad/s2.
Therefore, the angular deceleration is 0.625 rad/s2.
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