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ddd [48]
3 years ago
8

PLEASE HELP!!!!! The velocity of sound in air is given by the equation , where v is the velocity in meters per second and t is t

he temperature in degrees Celsius. Find the temperature when the velocity is 329 meters per second by graphing the equation. Round the answer to the nearest degree. Show your work.

Mathematics
1 answer:
jeyben [28]3 years ago
3 0

The equation of velocity of sound in air is v = 20 √(273 + t). In this problem, we need to find the temperature when the velocity is 329 meters/s. You need to measure the time it takes a sound to travel a measured distance in order to measure its speed in air.

 

Given:

Velocity of sound in air equation = v = 20 √(273 + t)

Velocity = 329 m/s

 

To solve:

V = 20 √(273 + t)

<span>
329 = 20 * sqrt(273 + t)</span>

<span>
16.45 = sqrt(273 + t)</span>

<span>
273 + t = 16.45^2</span>

<span>
t- 16.45^2-273</span>

<span>
t = -2.4 degrees Celsius</span>

 

<span>So, the temperature when the velocity is 329 meters per second is -2.4 degrees Celsius.</span>

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