A ride rotates at, θ(t) = (π/4) t − (π/16)t2 + (π/24)t3 .  i. What is the angular velocity as a function of time ω(t)? ii. What is the angular acceleration as a function of time α(t)? iii. What is the angular velocity at t = 4 s?

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Chapter10: Fixed-axis Rotation
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Problem 86P: A flywheel (l=50kgm2) starting from rest acquires an angular velocity of 200.0 rad/s while subject...
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A ride rotates at, θ(t) = (π/4) t − (π/16)t2 + (π/24)t3

i. What is the angular velocity as a function of time ω(t)?

ii. What is the angular acceleration as a function of time α(t)?

iii. What is the angular velocity at t = 4 s?

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