2. At what temperature will sound travel at 348 m/s?

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[tex] {\Large{\overline{\underline{\sf{\hookrightarrow Answer:}}}}} [/tex]

  • A temperature of about 28.33 °C.

Solution:

Given that

  • [tex] \sf V [/tex] = [tex] \sf 348 \frac{m}{s} [/tex]

Use the formula and solve for [tex] \sf T [/tex].

[tex] {\large{\boxed{\sf{V = 331 \frac{m}{s} + 0.6 \frac{\frac{m}{s}}{°C} (T) }}}} [/tex]

  • [tex] \sf{348 \frac{m}{s} = 331 \frac{m}{s} + 0.6 \frac{\frac{m}{s}}{°C} (T) } [/tex]

  • [tex] \sf{348 \frac{m}{s} - 331 \frac{m}{s} = 0.6 \frac{\frac{m}{s}}{°C} (T) } [/tex]

  • [tex] \sf{17 \frac{m}{s} = 0.6 \frac{\frac{m}{s}}{°C} (T) } [/tex]

  • [tex] \sf{T = \frac {17 \frac{m}{s}}{0.6 \frac{\frac{m}{s}}{°C}}} [/tex]

  • [tex] {\sf \therefore T \approx {\boxed{\green{\sf{28.33 °C}}}}} [/tex]

[tex]{\: \:}[/tex]

[tex] {\huge{\overline{\sf{Hope\:It\:Helps}}}} [/tex]

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