This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

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Answer
A)
Step 1: Identify the given values. The initial angular velocity, since the record starts from rest, is rad s. The final angular velocity is rad s. The time taken is s.
Step 2: Use the kinematic equation for angular motion. The relationship between initial angular velocity, final angular velocity, angular acceleration (), and time is given by:
Step 3: Substitute the given values into the equation and solve for .
The constant angular acceleration is rad s.
The final answer is .
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A) Step 1: Identify the given values. The initial angular velocity, since the record starts from rest, is _i = 0 rad s^-1.
This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.