Angular Acceleration Problem - Compact Disc

AI Thread Summary
The discussion focuses on calculating the angular acceleration of a compact disc as it accelerates to a constant speed of 477 revolutions per minute, covering an angular displacement of 0.250 revolutions. The user converted the speed to radians, resulting in 49.95 rad/s, and the displacement to 1.57 rad. They attempted to apply the formula ω^2 = ω₀² + 2αΘ to find the angular acceleration (α) but encountered an error in their calculations. The expected answer for angular acceleration is 866 rad/s², indicating a miscalculation in the user's application of the formula. The conversation emphasizes the importance of correctly applying kinematic equations in rotational motion.
gcombina
Messages
157
Reaction score
3
During the time a compact disc (CD) accelerates from rest to a constant rotational speed of 477 rev/min, it rotates through an angular displacement of 0.250 rev. What is the angular acceleration of the CD?

I converted 477 rev/min into 49.95 rad
I converted 0.250 rev to radians which is 1.57 rad

Then I am using
ω^2 = ωø^2 + 2 α Θ
49.95/2(1.57 radians) = α
15.90 = αBUT i am not getting the answer
 
Last edited:
Physics news on Phys.org
the answer is 866 rad/s^2
 
gcombina said:
ω^2 = ωø^2 + 2 α Θ
49.95/2(1.57 radians) = α
ω^2 = ωø^2 + 2 α Θ
 
Thread 'Collision of a bullet on a rod-string system: query'
In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
Back
Top