Formula For Speed Of Wave

Features of waves

Waves are described by their aamplitude, frequency, wavelength and period. Diffraction is the spreading out of waves when they laissez passer through a gap.

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Wave speed equation

The speed of a moving ridge is related to its frequency and wavelength , according to this equation:

\[v = f~ \times \lambda\]

where:

v is the moving ridge speed in metres per 2nd, one thousand/s

f is the frequency in hertz, Hz

λ (lambda) is the wavelength in metres, m

Formula triangle demonstrating v equals f times lambda. V at the apex of triangle, f in bottom-left corner and lambda in bottom-right. Also demonstrates f equals v over lambda, lambda equals v over f.

All waves, including sound waves and electromagnetic waves , follow this equation. Information technology should be noted that some particular waves have their ain specific speeds:

the speed of light and all of the electromagnetic spectrum in a vacuum (in vacuo) is 300,000,000 m/s or 3×ten ⁸ chiliad/s
the speed of audio in air is 340 m/s

Question

What is the speed of a water wave that has a frequency of 0.5 Hz and a wavelength of three thousand?

five = ?

f = 0.5 Hz

λ = 3 k

five = f × λ

five = 0.5 × iii

v = i.v m/due south

Question

A audio wave has a frequency of 10,000 Hz and a wavelength of 0.034 grand. What is its speed?

5 = f × λ

v = ten,000 Hz × 0.034 m

v = 340 one thousand/s

Question

A radio wave has a frequency of 3,000,000 Hz and a wavelength of 100 one thousand. What is its speed?

five = f × λ

v = 3,000,000 Hz × 100 thousand

five = 300,000,000 thou/south