Rotational kinematics

A merry-go-round has an initial angular velocity of $10.2 \,\text{rpm}$10, point, 2, start text, r, p, m, end text. At the end of the ride, the brakes are applied, giving it a constant angular deceleration of $0.032 \,\text{rad/s}^2$0, point, 032, start text, r, a, d, slash, s, end text, squared as the ride slows to a stop.

Determine the angular velocity of the ride, in $\text{rad/s}$start text, r, a, d, slash, s, end text, after it has made two revolutions during the braking period.

$\dfrac{\text{rad}}{\text{s}}$start fraction, start text, r, a, d, end text, divided by, start text, s, end text, end fraction