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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.

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keu
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

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