Uniform circular motion - origin of speed

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SUMMARY

This discussion clarifies the concept of tangential speed in uniform circular motion, specifically how the hand's motion contributes to the ball's speed. The centripetal force provided by the string is essential for maintaining circular motion, while the hand's arc movement initiates the ball's acceleration. The interaction between the string and the ball's velocity vector is crucial, as the string is not perpendicular to the velocity when the ball is first set into motion. Visual aids, such as videos and diagrams, enhance understanding of these dynamics.

PREREQUISITES
  • Understanding of uniform circular motion principles
  • Familiarity with centripetal force and acceleration
  • Basic knowledge of vector representation in physics
  • Ability to analyze motion through visual aids
NEXT STEPS
  • Watch videos on uniform circular motion to visualize concepts
  • Study the relationship between centripetal force and tangential speed
  • Explore vector diagrams related to circular motion
  • Review physics textbooks covering rotational dynamics
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone seeking to deepen their understanding of uniform circular motion and the dynamics of tangential speed.

compuser123
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I am having trouble understanding tangential speed as it applies to uniform circular motion and I would appreciate any help.

Say I have a ball on the end of a string that I hold with my hand and rotate at a constant speed. If the string provides the centripetal force and acceleration, where does the speed come from? what provides it?
 
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Notice what your hand is doing while you are bringing the ball from rest up to its final speed.
 
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As I am bringing it to its final speed, my hand is moving in arc. So my hand is also providing the speed?
 
compuser123 said:
As I am bringing it to its final speed, my hand is moving in arc. So my hand is also providing the speed?
Yes. As the ball is first brought into motion, the string is not perpendicular to the velocity.

Look at this video at about time 45 seconds.



Here is a snapshot soon after the ball is first set into motion.
upload_2018-1-16_12-31-12.png

You can see that the string is not perpendicular to the velocity.
 

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Awesome. Thanks a lot, your vector pic. really helped.
 

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