How Fast Does a Spinning Disk Rotate After One Full Revolution?

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SUMMARY

The discussion focuses on calculating the angular speed of a disk after it completes one full revolution, starting from an initial position of -90° and undergoing constant angular acceleration for 3.1 seconds. The final position after this time is 130°, resulting in a change in angle of 140°. To determine the angular speed upon returning to the original position, the kinematic equations for rotational motion must be applied, specifically using the relationship between angular displacement, time, and angular acceleration.

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  • Understanding of angular motion concepts
  • Familiarity with kinematic equations for rotational motion
  • Basic knowledge of angular acceleration
  • Ability to convert between degrees and radians
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  • Study the kinematic equations for rotational motion in detail
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  • Explore examples of angular motion problems involving constant acceleration
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This discussion is beneficial for physics students, educators, and anyone interested in understanding rotational dynamics and kinematics, particularly in the context of angular motion problems.

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Homework Statement




A disk with a radial line painted on it is mounted on an axle perpendicular to it and running through its center. It is initially at rest, with the line at theta 0 = -90°. The disk then undergoes constant angular acceleration. After accelerating for 3.1 s, the reference line has been moved part way around the circle (in a counterclockwise direction) to theta f = 130°.

Given this information, what is the angular speed of the disk after it has traveled one complete revolution (when it returns to its original position at -90°)?


Homework Equations



w = lim(change in theda)/(change in time)



The Attempt at a Solution



change in theda is 140 degrees

change in time is 3.1 seconds
 
Physics news on Phys.org
This is a problem involving a constant angular acceleration and you need to use that information to solve this problem.

HINT:

Can you state the kinematic equations for rotational motion?
 
Last edited:

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