The veloctiy of sound in air is given by the equation v=20 times the square root of 273+t where v is the velocity in meters per second and t is the temperature in degrees celcius. find the temperature when the velocity of sound in air is 369 meters per second. round to the nearest degree.

The velocity of sound in air is 369 meters per second at 67 degrees Celcius.

Step-by-step explanation:

The veloctiy of sound in air is given by the equation

where v is the velocity in meters per second and t is the temperature in degrees Celcius.

We need find the temperature when the velocity of sound in air is 369 meters per second.

Substitute v=369 in the give equation.

Divide both sides by 20.

Taking square both the sides.

Subtract 273 from both the sides.

Therefore the velocity of sound in air is 369 meters per second at 67 degrees Celcius.

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