Centripetal Force Lab: Converting Linear Speed to Radians/sec

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SUMMARY

The forum discussion focuses on the conversion of linear speed to angular speed (radians/sec) in a physics lab involving centripetal force. The experiment involved whirling a rubber stopper at a radius of 1 meter for 30 revolutions, with various centripetal forces applied. The correct method for conversion is confirmed as multiplying the linear speed by 2π/r, where r is the radius. The provided calculations for linear speed and corresponding angular speeds are accurate based on this formula.

PREREQUISITES
  • Understanding of centripetal force principles
  • Familiarity with the concept of linear speed
  • Knowledge of angular speed and radians
  • Basic proficiency in physics lab measurements
NEXT STEPS
  • Study the relationship between centripetal force and angular velocity
  • Learn about the formula for converting linear speed to angular speed
  • Explore practical applications of centripetal force in real-world scenarios
  • Investigate the effects of varying radius on angular speed
USEFUL FOR

This discussion is beneficial for physics students, educators conducting lab experiments, and anyone interested in the principles of motion and forces in circular dynamics.

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we did a lab in physics recently in which we whirled a rubber stopper at a given radius (1 meter) for 30 rev and timed it. below, are the values we got. i' not sure if i am converting the linear peed to radians/sec correctly. any input?

Centripetal Force Period for 30 revolutions Period=T Speed= C/T Speed (radians/sec)
5 30 s 6 s 1.05 m/s 120pi
10 23.62 s 2.36 s 2.66 m/s 94.5pi
15 19.78 s 1.32 s 4.76 m/s 79pi
20 16.85 s .84 s 7.48 m/s 66.3pi
25 15.72 s .63 s 9.98 m/s 63pi
 
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Yes, you are converting the linear speed to radians/sec correctly. To convert from linear speed to angular speed, you need to multiply it by 2π/r, where r is the radius of the circle.
 

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