The speed of the motor of an engine is 300 rpm. In 2 s, the speed increases to 420 rpm. Calculate the number of revolutions made by the motor.

Explanation

To solve the problem, we will follow these steps:

### Step 1: Convert RPM to Radians per Second
We are given the initial speed of the motor as 300 RPM and the final speed as 420 RPM. First, we need to convert these values from revolutions per minute (RPM) to radians per second (rad/s).

- **Initial Angular Velocity (ω₀)**:
\[
ω₀ = 300 \, \text{RPM} \times \frac{2\pi \, \text{radians}}{1 \, \text{revolution}} \times \frac{1 \, \text{minute}}{60 \, \text{seconds}} = 300 \times \frac{2\pi}{60} = 10\pi \, \text{rad/s}
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