A wheel of a bicycle is rotating about its axis with an angular velocity of 100 rpm. When the brakes are applied, the wheel comes to rest in 10 s. Calculate the number of revolutions made by the wheel before coming to rest. Assume that the deceleration is constant.

Explanation

To solve the problem step by step, we will follow the concepts of angular motion and kinematics.

### Step 1: Convert Angular Velocity from RPM to Radians per Second
The initial angular velocity (ω₀) is given as 100 revolutions per minute (rpm). We need to convert this to radians per second.

\[ \omega_0 = 100 \text{ rpm} \times \frac{2\pi \text{ radians}}{1 \text{ revolution}} \times \frac{1 \text{ minute}}{60 \text{ seconds}} = \frac{100 \times 2\pi}{60} = \frac{10\pi}{3} \text{ rad/s} \]
...