The tangential acceleration of a particle moving in a circular path of radius `5 cm` is `2 m s^-2`. The angular velocity of the particle increases from `10 rad s^-1` to `20 rad s^-1` during some time. Find
(a) this duration od time and
(b) the number of revolutions completed during this time.

Explanation

To solve the problem step by step, let's break it down into two parts as requested: (a) finding the duration of time and (b) finding the number of revolutions completed during that time.

### Given Data:
- Radius of circular path, \( r = 5 \, \text{cm} = 0.05 \, \text{m} \)
- Tangential acceleration, \( a_t = 2 \, \text{m/s}^2 \)
- Initial angular velocity, \( \omega_1 = 10 \, \text{rad/s} \)
- Final angular velocity, \( \omega_2 = 20 \, \text{rad/s} \)

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