What is the speed of sound in air at atmospherical conditions?

In summary, the speed of sound in air can be calculated by dividing the distance the sound traveled by the time it took to travel that distance. In this problem, the student stood 86m from the foot of a cliff, clapped her hands, and heard the echo 0.50s later. Using the formula V=d/t, the speed of sound was determined to be 172m/s.
  • #1
Sace Ver
79
2

Homework Statement


A student stands 86m from the foot of a cliff, claps her hands, and hears the echo 0.50s later. Calculate speed of sound in air.

Known
•86m
•0.50s

Homework Equations


V=331.4+0.606T

The Attempt at a Solution


V=d/t
V=86m/0.50s
V=172m/s

Is that the first step to the problem? If so I'm not quite sure what the next step is.
 
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  • #2
Sace Ver said:

Homework Statement


A student stands 86m from the foot of a cliff, claps her hands, and hears the echo 0.50s later. Calculate speed of sound in air.

Known
•86m
•0.50s

Homework Equations


V=331.4+0.606T

The Attempt at a Solution


V=d/t
V=86m/0.50s
V=172m/s

Is that the first step to the problem? If so I'm not quite sure what the next step is.
What is the total distance the sound has to travel between the moment she claps her hand and the moment she hears the echo?
 
  • #3
Sace Ver said:

The Attempt at a Solution


V=d/t
V=86m/0.50s
V=172m/s

Your formula is correct, but the value of the distance you used isn't.
 
  • #4
stockzahn said:
Your formula is correct, but the value of the distance you used isn't.
86m x 2 = 172 bc it is an echo?

V=d/t
V=172m/0.50s
V=344m/s
 
  • #5
That seems to be correct - about 340 m/s is a typical value for the speed of sound of air at atmospherical conditions. I also think that this is the only step of the calculation (at least according to the statement).
 

FAQ: What is the speed of sound in air at atmospherical conditions?

What is the speed of sound in air?

The speed of sound in air is approximately 343 meters per second at room temperature and sea level.

How is the speed of sound in air affected by temperature?

The speed of sound in air increases with an increase in temperature. This is because the molecules in the air move faster at higher temperatures, resulting in sound waves traveling faster.

What factors can affect the speed of sound in air?

The speed of sound in air can be affected by temperature, humidity, and altitude. Higher temperatures and humidity can increase the speed of sound, while higher altitudes can decrease it.

Why does sound travel faster in solids and liquids compared to air?

Sound waves travel faster in solids and liquids because the particles in these mediums are closer together, allowing sound waves to propagate more quickly.

How is the speed of sound in air measured?

The speed of sound in air can be measured using a device called a sound level meter, which measures the time it takes for a sound wave to travel a known distance. The speed of sound can also be calculated using the formula: speed = frequency x wavelength.

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