Question

What’s the velocity of a sound wave traveling through air at a temperature of 18°C (64.4°F)?

Answer 1

342 m/s

Step-by-step explanation:

The velocity of sound in air is approximated as:

v ≈ 331.4 + 0.6 T

where v is the velocity in m/s and T is the temperature in Celsius.

At T = 18:

v ≈ 331.4 + 0.6 (18)

v ≈ 342.2

The velocity is approximately 342 m/s.

Answer 2

The velocity of a sound wave traveling through air at a temperature of 18°C (64.4°F) is 343m/s.

Explanation :

At normal atmosphere and pressure, the velocity of sound wave at increase in temperature is as follows

`\mathrm{V}=331 \mathrm{m} / \mathrm{s}+(0.6 \mathrm{m} / \mathrm{s} / \mathrm{c})^(*) \mathrm{T}`

where T is the temperature in degrees Celsius.

Using this equation, calculate the velocity of a sound wave at 20 degrees Celsius , from the following equations,

`\mathrm{V}=331 \mathrm{m} / \mathrm{s}+(0.6 \mathrm{m} / \mathrm{s} / \mathrm{c})^(*) \mathrm{T}`

`\mathrm{v}=331+(0.6)^(*) 20`

`\mathrm{v}=331+12`

V = 343 m/s