The initial angular velocity of an object is 10 rad/s. After 10 seconds the angular velocity becomes 20 rad/s. Find the angular acceleration of the object.

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  1. 1 rad/s2
  2. 1 rad/s
  3. 10 rad/s2
  4. 10 rad/s

Answer (Detailed Solution Below)

Option 1 : 1 rad/s2
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Detailed Solution

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The correct answer is option 1) i.e. 1 rad/s2.

CONCEPT:

  • Angular acceleration: It is the rate of change angular velocity of an object with respect to time i.e.

\(α = \frac{ω_{f}-ω_{i}}{t}\)

where,α = angular acceleration, ω= final angular velocity, ωi = initial angular velocity, and t = time

CALCULATION:

Given,

initial angular velocity, ωi = 10 rad/s

final angular velocity, ωf = 20 rad/s

time, t = 10 second

Hence,

angular acceleration, α = (20-10)/10 rad/s2

⇒ α = 1 rad/s2.

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