Calculate the angular velocity and angular acceleration (pendulum)

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SUMMARY

The discussion focuses on calculating the angular velocity and angular acceleration of a simple pendulum with a tension of 7.5N at an angle of 30 degrees. The key equations involved include those related to angular motion, specifically the relationships between tension, angle, and angular metrics. The calculations presented are deemed reasonable, although specific numerical verification was not conducted. This analysis is crucial for understanding the dynamics of pendulum motion in physics.

PREREQUISITES
  • Understanding of basic physics concepts such as angular motion and tension.
  • Familiarity with trigonometric functions, particularly sine and cosine.
  • Knowledge of the equations of motion for pendulums.
  • Ability to perform calculations involving forces and angles.
NEXT STEPS
  • Study the equations of motion for pendulums in detail.
  • Learn how to derive angular velocity and angular acceleration from tension and angle.
  • Explore the effects of varying tension and angle on pendulum dynamics.
  • Investigate real-world applications of pendulum motion in engineering and physics.
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, as well as educators and anyone interested in the principles of pendulum motion and angular dynamics.

Alexanddros81
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Homework Statement


13.53 The tension in the sting of the simple pendulum is 7.5N when θ=30deg.
Calculate the angular velocity and angular acceleration of the string at this instant.
Fig P13_53.jpg

Homework Equations

The Attempt at a Solution



Pytels_Dynamics079.jpg


Is this correct?
 
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Looks reasonable overall. Did not check the explicit numbers.
 

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