tex]plss patulong po sana sa marunong.. salamat poh.. science po ito.. nilagay k...

Questions

October 2022 1 2 Report

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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?
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plss patulong po sana sa marunong.. salamat poh.. science po ito.. nilagay ko nlng po s math..

need po ng solution

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Answers & Comments

Hanimeya

Verified answer

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PROBLEM :

#1. The atmospheric temperature in Baguio City is 20°C. How fast does sound travel in the air

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GIVEN :

$\tt\green{The = 20 °C }$

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ANSWER :

The speed of sound at 20 °C is approximately $\tt\green{343 m/s.}$

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SOLUTION :

$\tt{V = 331 \frac{m}{s} + ( \: 0.6 \: \frac{m/s}{°C } \: ) \: . \: T } \\ \\ \tt{=331 \frac{m}{s} + ( \: 0.6 \: \frac{m/s}{°C } \: ) \: . \: 20°C }\\ \\ \tt{= 331 \frac{m}{s} + \: ( \: 12 \frac{m}{s} \: )} \: \\ \\ \tt \green{V \: = \: 343 \: \frac{m}{s} }$

PROBLEM :

#2. What is the temperature of air if the speed of sound is 348.40 m/s?

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GIVEN :

$\tt\green{ V = 348.4 m/s }$

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ANSWER :

The temperature is at $\tt\green{29 °C}.$

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SOLUTION :

$\tt{V = 331 \frac{m}{s} + ( \: 0.6 \frac{\frac{m}{s}}{°C} \: ).T} \\ \\ \tt{348.4\frac{m}{s} = 331 \frac{m}{s}( \: 0.6 \frac{\frac{m}{s}}{°C} \: ).T} \\ \\ \tt{348.4\frac{m}{s} - \: 331 \frac{m}{s}( \: 0.6 \frac{\frac{m}{s}}{°C} \: ).T} \\ \\ \tt{17.4 \frac{m}{s} = ( \: 0.6 \frac{\frac{m}{s}}{°C} \: ).T} \\ \\ \tt{\frac{17.4 \: \frac{m}{s} }{0.6 \: \frac{m/s}{°C} } = T} \\ \\ \tt\green{The = 29 ° C}$

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