The angular speed of an automobile engine is increased at a constant rate from 1200 rev/min to 3200 rev/min in 12 s. (a) What is its angular acceleration in revolutions per minute-squared? (b) How many revolutions does the engine make during this 12 s interval?

Explanation

To solve the problem step by step, we will address both parts of the question: (a) calculating the angular acceleration and (b) determining the total number of revolutions made by the engine during the time interval.

### Part (a): Calculate Angular Acceleration

1. **Identify Initial and Final Angular Speeds**:
- Initial angular speed, \( \omega_i = 1200 \) rev/min
- Final angular speed, \( \omega_f = 3200 \) rev/min

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