Question

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

Answer 1

The angular velocity at the beginning of the interval of the wheel rotating  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;

ωf² = ωi² + 2αθ

where;

• ωf is the final angular velocity
• ωi is the initial angular velocity
• α is angular acceleration
• θ is angular displacement

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

14² = ωi² + 2(6)(8)

196 = ωi² + 96

ωi² = 196 - 96

ωi² = 100

ωi = √100

ωi = 10 rad/s

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

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