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jarptica [38.1K]
3 years ago
15

3. What is the temperature if a 545-Hz sound wave has a wavelength of 0.651 m

Physics
1 answer:
KATRIN_1 [288]3 years ago
7 0

Answer:

19.33°C

Explanation:

To find the value of T you use the following formula:

v=343+0.61T

v: speed of sound

To calculate v you use:

v=\lambda f

λ: wavelength = 0.651m

f:  = 545Hz

by replacing :

v=(0.651m)(545s^{-1})=354.79m/s

Finally, by replacing in the first formula you obtain:

354.79=343+0.61T\\\\T=19.33\°C

T = 19.33°C

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Answer:

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The percentage uncertainty of a fraction is the sum of percentage uncertainties in

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\begin{aligned}\displaystyle \rm \text{Percentage Uncertainty in }t &= \frac{\text{Absolute Uncertainty in }t}{\text{Measured Value of }t}\times 100\% \\ &=\rm\frac{46\; s}{9106\;s}\times 100\%\\ &= 0.0329\%\end{aligned}.

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\text{Percentage Uncertainty in }\bar{v}\\=(\text{Percentage Uncertainty in } s) + (\text{Percentage Uncertainty in } t)\\ = 0.0687\% + 0.0329\%\\ = 0.010\%.

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The percentage uncertainty in \bar{v} here is less than 2%. Thus, keep two significant figures. However, keep more significant figures than that in calculations to make sure that the final result is accurate.

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