At t = 0, a wheel rotating about a fixed axis at a constant angular deceleration of 0.86 rad/s 2 has an angular velocity of 4 rad/s and an angular position of 9 rad. what is the angular position of the wheel after 5 s? answer in units of rad.

At t=0,

deceleration = 0.86 rad/s^2

angular velocity = 4 rad/s

position = 9 rad

At t=5, position = ?

We know: θ = ωo t + 1/2*α*t^2

Using above values we get after 5 second

θ = 4*5 + 1/2 * (-0.86) * 5^2 = 9.25 rad

So, the change in angle = 9.25 - 9 = 0.25 radian