Equations of Rotational Motion Video Lessons

Concept

# Problem: A disk at rest experiences a constant angular acceleration for t=15 s, at the end of which it is spinning with a frequency of f = 75rpm. Please answer the following questions. Randomized Variables t = 5s f=75 rpm Part (a) Write an expression for the magnitude of the angular velocity of the disk after the acceleration in terms of the frequency.Part (b) Calculate the magnitude of the angular velocity of the disk in rad/s at time t = 15 s. Part (c) Write an expression for the average angular acceleration of the disk aave in terms of angular velocity.Part (d) Calculate the magnitude of the average angular acceleration of the disk aave from rest to t = 15 s in rad/s2.Part (e) Write an expression for the period T of the disk in terms of frequency f.Part (f) Calculate the magnitude of the perios of the disk T at time r = 15 s in seconds.

###### FREE Expert Solution

Part (a)

Angular velocity:

$\overline{){\mathbf{\omega }}{\mathbf{=}}{\mathbf{2}}{\mathbf{\pi }}{\mathbf{f}}}$

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###### Problem Details

A disk at rest experiences a constant angular acceleration for t=15 s, at the end of which it is spinning with a frequency of f = 75rpm. Please answer the following questions.

Randomized Variables

t = 5s

f=75 rpm

Part (a) Write an expression for the magnitude of the angular velocity of the disk after the acceleration in terms of the frequency.

Part (b) Calculate the magnitude of the angular velocity of the disk in rad/s at time t = 15 s.

Part (c) Write an expression for the average angular acceleration of the disk aave in terms of angular velocity.

Part (d) Calculate the magnitude of the average angular acceleration of the disk aave from rest to t = 15 s in rad/s2.

Part (e) Write an expression for the period T of the disk in terms of frequency f.

Part (f) Calculate the magnitude of the perios of the disk T at time r = 15 s in seconds.