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.
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