Magnitude of Angular Acceleration

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SUMMARY

The discussion focuses on calculating the magnitude of angular acceleration for a disk rotating with constant angular acceleration. The initial angular speed is 2π rad/s, and after rotating through 1π radians, the final angular speed is 14π rad/s. The correct approach involves using the equation ω² = ω₀² + 2αθ, where ω is the final angular speed, ω₀ is the initial angular speed, α is the angular acceleration, and θ is the angular displacement. The solution reveals that the magnitude of the angular acceleration is 24 rad/s².

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  • Study the equation ω² = ω₀² + 2αθ in detail
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Homework Statement


A disk rotates with constant angular acceleration. The initial angular speed of the disk is 2π rad/s. After the disk rotates through 1π radians, the angular speed is 14π rad/s. What is the magnitude of the angular acceleration?


Homework Equations


w=w0+at


The Attempt at a Solution


I tried to use w=w0+at but that didn't work. What equation do I need to use?
 
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tag16 said:

Homework Statement


A disk rotates with constant angular acceleration. The initial angular speed of the disk is 2π rad/s. After the disk rotates through 1π radians, the angular speed is 14π rad/s. What is the magnitude of the angular acceleration?

Homework Equations


w=w0+at

The Attempt at a Solution


I tried to use w=w0+at but that didn't work. What equation do I need to use?

Consider using another equation.
http://hyperphysics.phy-astr.gsu.edu/hbase/mi.html#rlin

One that doesn't involve time as a variable.
 

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