How Do You Calculate Uncertainties in Velocity Measurements?

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SUMMARY

The discussion focuses on calculating uncertainties in velocity measurements from a glider's recorded velocities of 0.48 m/s, 0.48 m/s, 0.53 m/s, 0.48 m/s, and 0.47 m/s. The average velocity was correctly calculated as 0.488 m/s. However, the method used to determine the uncertainty in velocity was incorrect; the correct approach involves calculating the range of measurements and dividing by 2. The relative uncertainty is found by dividing the percent uncertainty by the average value, which was misunderstood in the discussion.

PREREQUISITES
  • Understanding of basic statistics, specifically mean and range calculations.
  • Familiarity with the concept of uncertainty in measurements.
  • Knowledge of relative and percent uncertainty calculations.
  • Experience with motion detectors and velocity measurements.
NEXT STEPS
  • Review the calculation of uncertainty in measurements using standard deviation.
  • Learn about the propagation of uncertainty in physics experiments.
  • Study the concept of percent uncertainty and its applications in experimental data.
  • Explore the use of motion detectors in experimental physics for accurate velocity measurements.
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Students in physics courses, educators teaching measurement techniques, and anyone involved in experimental data analysis requiring accurate uncertainty calculations.

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Homework Statement



A glider moves on a level (horizontal) air track. The motion detector records five velocities of the glider: 0.48 m/s, 0.48 m/s, 0.53 m/s, 0.48 m/s, 0.47 m/s. The average velocity, uncertainty in the velocity, and relative uncertainty are


Homework Equations


Avg velocity= V1+V2+V3+V4+V5/2


The Attempt at a Solution


For the average velocity I used the above equation and got 0.488. For the uncertainty in the velocity I did 0.53-0.47/2 to get plus or minus 3, but I'm not sure if that is right. I have no idea on how find the relative uncertainty
 
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Ok so I just read that relative uncertainty is found by percent uncertainty in velocity/ avg value. Correct? but when I use that my answer is'nt one of my choices. So is there something wrong I did when finding the percent uncertainty in the velocity?
 

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