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The speed of a longitudinal wave is defined in the same was as the speed of transverse waves:
Wave speed
Wave speed is the distance a wave travels per unit time.
Quantity: Wave speed (v) Unit name: speed Unit: m⋅s−1
The distance between two successive compressions is 1 wavelength, λλ. Thus in a time of 1 period, the wave will travel 1 wavelength in distance. Thus the speed of the wave, vv, is:
However, f=1Tf=1T. Therefore, we can also write:
We call this equation the wave equation. To summarise, we have that v=λ⋅fv=λ⋅f where
v=v= speed in m⋅s−1m·s−1
λ=λ= wavelength in mm
f=f= frequency in Hz
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Related Questions
Suppose some electricity is flowing through a long straight wire without any insulating coating that gives an electric shock to a person at rest relative to the wire on touching it. Is there a speed with which if the person runs along the wire in the direction of current flowing such that he/she does not experience any shock?
A body is initially at rest. It undergoes one-dimensional motion with constant acceleration. The power delivered to it at time t is proportional to
(i) t1/2 (ii) t (iii) t3/2 (iv) t2
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