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Activity: Calculating the speed of Sound
Objective: At the end of this activity, you are expected to determine the speed of
sound at a given temperature, and vice versa.
Solve the problems below. Write your answers on a separate sheet of paper.
1.
The atmospheric temperature in Baguio City is 20°C. How fast does sound
travel in the air?
2.
What is the temperature of air if the speed of sound is 348.40 m/s?

1. The atmospheric temperature in Baguio City is 20°C. How fast does sound travel in the air?
2. What is the temperature of air if the speed of sound is 348.40 m/s?

[tex]\underline\green{\mathbb{ANSWERS}:}[/tex]

1.)

[tex]\large \tt \: \begin{array}{|c|} \hline \\ \tt \: \boxed{\tt { \tt{\blue{ \: 343 \: m /s }}}} \\ \\ \hline\end{array}[/tex]

2.)

[tex]\large \tt \: \begin{array}{|c|} \hline \\ \tt \: \boxed{\tt {\tt{\red{ \: 29 \degree C }}}} \\ \\ \hline\end{array} \\ [/tex]

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[tex]\underline\pink {\mathbb{SOLUTIONS}:}[/tex]

1.)

[tex]\large \tt \: \begin{array}{|c|} \hline \tt Given: \: v = \: 348.4 \: ms\\ \\ v \: = \: 331 \frac{m}{s} \: + \: (0.6 \frac{ms}{ \degree c}) \: . \: T \\ \\ \ 34 8.4 \frac{m}{s} = \: 331 \frac{m}{s} \: = \: (0.6 \frac{ms}{ \degree c} \: . \: T \\ \\ 34 8.4 \frac{m}{s} - \: 331 \frac{m}{s} \: \: (0.6 \frac{ms}{ \degree c} \: . \: T \ \\ \\ \frac{17.4 \: ms}{0.6 \: ms \: \degree c} \: = \:T \\ \\ \leadsto \boxed{\tt {\tt{\red{ T \: = \: 29 \degree c }}}} \\ \\ \hline\end{array} \\ [/tex]

Therefore, the temperature is at 29°C.

2.)

[tex]\large \tt \: \begin{array}{|c|} \hline \tt Given: \: T = 20 °C \\ \\ v \: = \: 331 \frac{m}{s} \: + \: (0.6 \frac{ms}{ \degree c}) \: . \: T \\ \\ = \: 331 \frac{m}{s} \: + \: (0.6 \frac{ms}{ \degree c}) .20 \degree c \\ \\ = 331 \frac{m}{s} \: + \: (12 \frac{m}{s} ) \\ \\ \leadsto \boxed{\tt {\tt{\red{ v \: = \: 343 \frac{m}{s} }}}} \\ \ \\ \hline\end{array} \\ [/tex]

Therefore, the speed of sound at 20°C is approximately 343ms

[tex]\\ \\[/tex]

Scrtt.❤