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A wheel rotates with a constant angular acceleration of 6.0 rad/s2. During a certain time interval its angular displacement is 8.0 rad. At the end of the interval its angular velocity is 14.0 rad/s. What is its angular velocity at the beginning of the interval

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onyebuchinnaji

The angular velocity at the beginning of the interval of the wheel rotating Ā at a constant angular acceleration is determined as 10 rad/s.

Initial angular velocity of the wheel

The initial angular velocity of the wheel is determined by applying the kinematic equation as shown below;

Ļ‰fĀ² = Ļ‰iĀ² + 2Ī±Īø

where;

  • Ļ‰f is the final angular velocity
  • Ļ‰i is the initial angular velocity
  • Ī± is angular acceleration
  • Īø is angular displacement

Substitute the given parameters and solve for the initial angular velocity.

14Ā² = Ļ‰iĀ² + 2(6)(8)

196 = Ļ‰iĀ² + 96

Ļ‰iĀ² = 196 - 96

Ļ‰iĀ² = 100

Ļ‰i = āˆš100

Ļ‰i = 10 rad/s

Thus, the initial angular velocity of the wheel is 10 rad/s.

Learn more about angular velocity here: https://brainly.com/question/6860269

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