Problem: The angular acceleration of a wheel, as a function of time, is α = 5.0 t2 - 8.5 t, where α is in rad/s2 { m{rad/s^2}} and t is exttip{t}{t}in seconds. If the wheel starts from rest (θheta = 0, ω omega= 0, at t exttip{t}{t}= 0), determine a formula fora) the angular velocity ωomega as a function of timeb) the angular position θheta as a function of timec) evaluate ω at t = 4.0 sd) evaluate θ at t = 4.0 s

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The angular acceleration of a wheel, as a function of time, is α = 5.0 t2 - 8.5 t, where α is in rad/s2 and t is in seconds. If the wheel starts from rest (θ = 0, ω = 0, at t = 0), determine a formula for
a) the angular velocity ω as a function of time
b) the angular position θ as a function of time
c) evaluate ω at t = 4.0 s
d) evaluate θ at t = 4.0 s

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Based on our data, we think this problem is relevant for Professor Efthimiou's class at UCF.