Question

At t = 0, a wheel rotating about a fixed axis at a constant angular acceleration of –0.40 rad/s^2 has an angular velocity of 1.5 rad/s and an angular position of 2.3 rad. What is the angular position of the wheel
at t = 2.0 s? Ans: Theta final=4.5 rad
How do you solve step by step. Thanks

Answer 1

angular position= 1/2 acceleraiton*time^2+ wi*time + initial position

Answer 2

èf = èi+ùi*t+1/2*á*t^2
èf = 2.3rad+(1.5 rad⁄s(2.0s)+0.5(-0.40 rad⁄s^2)(2.0s)
èf = 2.3 rad + 3.0 rad - 0.8 rad
èf = 4.5 rad
Thanks! Bob Pursley, This helped me solve it and here is the step by step break down.