How to find average angular velocity?

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SUMMARY

The discussion focuses on calculating the average angular velocity based on three trials of revolutions recorded during a physics lab. The trials yielded 344, 332, and 330 revolutions over a duration of 2 minutes. The correct method involves first calculating the average number of revolutions by summing the trials (1006 revolutions) and dividing by 3, resulting in an average of approximately 335.33 revolutions. This average is then converted to angular velocity using the formula: average revolutions per time multiplied by 2π radians per 60 seconds, yielding an average angular velocity of approximately 35.1 rad/s.

PREREQUISITES
  • Understanding of angular motion concepts
  • Familiarity with the relationship between revolutions and radians
  • Basic arithmetic operations (addition and division)
  • Knowledge of time conversion (minutes to seconds)
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  • Learn how to convert between different units of angular measurement
  • Study the principles of angular velocity in rotational dynamics
  • Explore the use of average values in physics calculations
  • Investigate the impact of measurement errors on experimental results
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Students in physics courses, educators teaching angular motion, and anyone interested in understanding rotational dynamics and angular velocity calculations.

kee23
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Homework Statement


I had a physics lab and we found the 3 trials of revolution in 2 min then the result came as 1st=344rev
2nd=332rev
3rd=330rev
(These numbers is from the calculation of Final (2min) - Initial start)
Then it asked to find the average angular velocity for three of results.

Homework Equations


1 rev= 2pi rad/60s

The Attempt at a Solution


First I added all the revolutions 344+332+330 then converted to get average angular v
1006rev/2min*2*pi(rad)/60s= 52.7rad/s
Did I got it right?
EDITED
 
Last edited:
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I am not sure what is spinning, but why is your 3rd trial value so high?? The average number of revolutions is the sum of the revolutions divided by three; once you get this average, then the average angular velocity is per your equation, but with the corrected value for the average number of revolutions inserted therein.
 
my bad. the 3rd is 330rev.
Umm I'm not quite follow.
t
 
kee23 said:
my bad. the 3rd is 330rev.
Umm I'm not quite follow.
t
you stated
First I added all the revolutions 344+332+330
why are you adding them...to find the average, you add them and divide by 3... if 3 friends are 6,7, and 8 years old, their average age is (6 + 7 + 8)/3 = 21/3 = 7 years old, right? So use your average revs in the last equation and you should get the right answer for the average angular velocity based on the three trials...
 

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