Why do the following formulae give different values of the r.m.s

  • Thread starter binbagsss
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In summary, different formulae for calculating the r.m.s can give different values due to varying variables and methods of calculation. Rounding errors and experimental limitations can also contribute to these differences. The specific formula to use for calculating the r.m.s depends on the situation and variables being measured. Experimental limitations, such as measurement errors, can affect the accuracy of the calculation and should be minimized. There may also be assumptions involved in using the r.m.s formula and it is important to ensure they are valid for accurate results.
  • #1
binbagsss
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pressure = 1/3* density * mean square speed

and

ke = 1/2*m*m.s speed
 
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  • #2
no they dont
do they??:confused:
 

1. Why do the following formulae give different values of the r.m.s?

This is because different formulae may take into account different variables or use different methods of calculation, leading to variations in the result. Additionally, rounding errors and experimental limitations can also contribute to the differences.

2. How do I know which formula to use for calculating the r.m.s?

The formula to use depends on the specific situation and what variables are being measured. It is important to carefully analyze the data and determine which formula is most appropriate for the given scenario.

3. Can you provide an example of two formulae that give different values for the r.m.s?

Yes, for example, the formula for calculating the r.m.s of a set of numbers is different from the formula for calculating the r.m.s of a set of velocities. The former uses the sum of squares while the latter uses the square root of the average of squares.

4. How do experimental limitations affect the accuracy of the r.m.s calculation?

Experimental limitations, such as measurement errors or uncertainties, can affect the accuracy of the r.m.s calculation by introducing variations in the data. These limitations should be taken into account and minimized as much as possible to improve the accuracy of the result.

5. Are there any assumptions involved in using the formula for r.m.s?

Yes, there may be certain assumptions involved in using the formula for r.m.s, such as assuming a normal distribution of data or assuming that the measurements are independent. It is important to understand these assumptions and ensure they are valid for the given situation to obtain accurate results.

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