The fractional uncertainty in the wave speed = uncertainty in the wave speed/the value of the wave speed
= (1.45+0.019)/47.13 = 0.03117
The basic equation connecting wave speed v, wavelength? and frequency f is
The wave speed in a stretched string depends on the string's tension T and mass per unit length? (also called the "linear mass density") with the equation
Assume you have the following intermediate (i.e., significant figures may be incorrectly stated) experimental results :
|L =||0.812 ? 0.019 m|
|f1 =||29.02 ? 1.45 Hz|
|T =||5.08 N (exact)|
1. Use the above results to calculate the fractional uncertainty in the wave speed ?v:
2. Use the above results to calculate the fractional uncertainty in the linear mass density ??:
3. Then calculate the absolute uncertainty in the linear mass density ??:
4. Finally, state the linear mass density with its uncertainty using correct significant figures (include units):
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