Angular Acceleration: Find Angle in 2 Seconds

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SUMMARY

The discussion focuses on calculating the angle rotated by a wheel under constant angular acceleration of 6 rad/22 and an initial angular velocity of 6 rad/s over a period of 2 seconds. The correct approach involves using the angular displacement formula, which accounts for both initial angular velocity and angular acceleration. The calculation reveals that the angle is not simply derived from the initial velocity but requires applying the kinematic equations for rotational motion.

PREREQUISITES
  • Understanding of angular motion and kinematics
  • Familiarity with angular acceleration concepts
  • Knowledge of converting radians to degrees
  • Ability to apply kinematic equations for rotational systems
NEXT STEPS
  • Study the kinematic equations for rotational motion
  • Learn how to convert between radians and degrees accurately
  • Explore examples of constant angular acceleration problems
  • Investigate the implications of angular velocity on rotational dynamics
USEFUL FOR

Students studying physics, particularly those focusing on rotational dynamics, as well as educators seeking to clarify concepts related to angular motion and acceleration.

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Homework Statement


A wheel accelerates with constant angular acceleration of 6 rad/22. If the initial angular velocity is 6 rad/s. what is the angle in degrees that the wheel rotates through in 2 seconds?


Homework Equations



360 degrees = 2pi radians

The Attempt at a Solution



6*2pi = 37.699

Can it really be that simple?
 
Physics news on Phys.org
No. For one thing, the wheel is accelerating. That is important, you can't just ignore it. Make a list of what you know, and apply the appropriate equation to find what you don't know.
 

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