Particle Angular Velocity Problem

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SUMMARY

The discussion centers on calculating the angular velocity of a particle at specific time intervals using the equation ω = θ/t. The participant successfully determined the angular velocity at t=1s as 0 but struggled with the calculations for t=4s and t=7s. The incorrect attempt for t=7s was 2π/7, indicating a misunderstanding of the relationship between angular displacement and time. The participant questioned the validity of the equation ω = θ/t, suggesting a need for clarification on its application.

PREREQUISITES
  • Understanding of angular velocity and its formula ω = θ/t
  • Basic knowledge of graph interpretation, specifically position vs. time graphs
  • Familiarity with angular displacement concepts
  • Ability to perform calculations involving radians and time intervals
NEXT STEPS
  • Review the concept of angular displacement and how it relates to angular velocity
  • Study the relationship between position, velocity, and time in kinematics
  • Learn about the correct application of the equation ω = θ/t in various scenarios
  • Explore examples of angular velocity calculations in physics problems
USEFUL FOR

Students studying physics, particularly those focusing on rotational motion and angular velocity calculations, as well as educators seeking to clarify these concepts for learners.

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Homework Statement



I am given this graph and asked to find:
a. the particle's angular velocity at t=1s
b. angular velocity at t=4s
c. angular velocity at t=7s

Homework Equations



ω = θ/t

The Attempt at a Solution



I got 0 for a, which is the correct answer. However, I cannot seem to figure out b or c. For c, I got 2π/7 and it is incorrect. I've also tried 2π*radians/T and that doesn't work either. I'm not really sure what to do.
 
Physics news on Phys.org
are you sure ω = θ/t is the right equation?

how do you find velocity on a graph of position vs time?
 

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