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A carnival ride starts at rest and is accelerated from an initial angle of zero to a final angle of 6.3 rad by a rad counterclockwise angular acceleration of 2.0 s2 What is the angular velocity at 6.3 rad?​

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onyebuchinnaji

The final angular velocity of the carnival ride at a displacement of 6.3 rad is 25.2 rad/s.

Final angular velocity of the carnival ride

The final angular velocity of the carnival ride is determined by applying third kinematic equation as shown below;

ωf = ωi + 2αθ

where;

  • ωf  is the final angular velocity of the carnival ride = ?
  • ωi is the initial angular velocity of the carnival ride = 0
  • α is the angular acceleration = 2.0 rad/s²
  • θ is the angular displacement of the carnival ride = 6.3 rad

ωf = 0 + 2(2.0) x 6.3

ωf = 25.2 rad/s

Thus, the final angular velocity of the carnival ride at a displacement of 6.3 rad is 25.2 rad/s.

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

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