At t = 0, a wheel rotating about a fixed axis at a constant angular deceleration of 0.37 rad/s2 has an angular velocity of 0.5 rad/s and an angular position of 8.5 rad.

Question

What is the angular position of the wheel
after 2 s?
Answer in units of rad

Answer 1

angle (in radians) = 8.5 + 0.5*t - (0.37/2)*t^2
Substitute t = 2 and solve.
A minus sign is on the last term because the wheel is decelerating.