How Do You Calculate Uncertainty in Physics Measurements?

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SUMMARY

This discussion focuses on calculating uncertainty in physics measurements, specifically in the context of a position-time graph and derived velocity-time graph. The user seeks assistance in determining the uncertainty for initial position (x = 0 cm), delta x (∆x = 2.1 cm), and average velocity (v = 16.2 cm/s). Key formulas for calculating uncertainty in these values include the propagation of uncertainty and the use of standard deviation for repeated measurements. The user is encouraged to refer to the provided document for detailed methodologies.

PREREQUISITES
  • Understanding of basic physics concepts such as position, velocity, and time.
  • Familiarity with the concept of uncertainty and its significance in measurements.
  • Knowledge of statistical methods for calculating standard deviation.
  • Ability to interpret graphs, specifically position-time and velocity-time graphs.
NEXT STEPS
  • Study the propagation of uncertainty in measurements.
  • Learn how to calculate standard deviation for a set of measurements.
  • Explore the concept of significant figures in reporting measurements.
  • Review examples of uncertainty calculations in physics experiments.
USEFUL FOR

Students in physics courses, laboratory technicians, and educators looking to enhance their understanding of measurement uncertainty and its applications in experimental physics.

luckysam
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Can anyone help me how to find uncertainty in values? I did a lab on position-time graph. And I have to find uncertainty in soem of the values. My teacher showed me a shortcut on how to find uncertainty of average velocity. But I did not understand that?

I graphed a position-time graph by the motion of the puck. Then by the help of values i prepared a velocity-time graph. Now I have to find the uncertainty in
x original i.e. x = 0 cm ,

then in delta x i.e. ∆x = 2.1 cm (the values were x = 1.2 cm and 3.3 ± 0.1 cm),

in average velocity v = 16.2 cm/s (values of x were 0 cm and 3.3 cm and values of time were 0.0 ses and 0.2 sec.

Please atleast show me the formula on how to find it, i will figure out the answer afterwards. Or the answer would be extra bonus for me.

If more information needed, i would give out then.

Thankyou.
 
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