Find Angular Velocity when given Angular Acceleration?

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To find the angular velocity of a spinning disk with an angular acceleration of 5.0 rad/s² after 3 revolutions, the relationship between angular displacement and angular acceleration must be utilized. The total angular displacement for 3 revolutions is 6π radians. Using the equation θ = ω_initial * t + 0.5 * α * t², and knowing the disk starts from rest, the time can be derived from the angular acceleration. Without a direct time value or radius, the solution relies on integrating angular displacement and acceleration to find the final angular velocity. The discussion highlights the need for additional information or alternative methods to solve the problem effectively.
Justinclewis94
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Homework Statement


Starting from rest, a spinning compact disk undergoes an angular acceleration of 5.0 rad/s^2. What is the angular speed of the disk after 3 revolutions?

Homework Equations


a=Δω/Δt
ω=Δθ/Δt

The Attempt at a Solution


I do not understand how to solve this equation when I am not given a time. I don't have a radius, so I can't find the circumference either. How can I solve this?
 
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Thread 'Correct statement about size of wire to produce larger extension'

Thread 'Correct statement about size of wire to produce larger extension'

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