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**Problem**: A roller in a printing press turns through an angle θ(t) given by θ(t) = γt2 - βt3 , where γ = 3.20 rad/s2 and β eta= 0.500 rad/s3{
m{ rad/s}}^3.a) Calculate the angular velocity of the roller as a function of time.b) Calculate the angular acceleration of the roller as a function of time.c) What is the maximum positive angular velocity?d) At what value of t does it occur?

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###### Problem Details

A roller in a printing press turns through an angle θ(t) given by θ(t) = γt^{2} - βt^{3} , where γ = 3.20 rad/s^{2} and β eta= 0.500 rad/s^{3}{
m{ rad/s}}^3.

a) Calculate the angular velocity of the roller as a function of time.

b) Calculate the angular acceleration of the roller as a function of time.

c) What is the maximum positive angular velocity?

d) At what value of t does it occur?

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Rotational Velocity & Acceleration concept. You can view video lessons to learn Rotational Velocity & Acceleration Or if you need more Rotational Velocity & Acceleration practice, you can also practice Rotational Velocity & Acceleration practice problems .

What professor is this problem relevant for?

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