a. what is the wavelength of the wave?
b. what is the period of the wave?
2007-01-12 05:17:53 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Physics
Velocity = Wavelength*Frequency
360 = 10*Wavelength
therefore;
Wavelength = 36 m
the period (T) = 1/Frequency (f)
T = 1/10 = 0.1 s
2007-01-12 05:22:24 · answer #1 · answered by Psycho 3 · 0⤊ 0⤋
Assuming a transverse wave with amplitude perpendicular to the direction the wave is traveling, the velocity of a point on the wave (e.g., its crest) is v = L/t; where L is the wavelength and t is the time it took for the crest of the wave to travel one wavelength. As 1/t = f = the frequency of the wave (cycles/sec), v = L/t = Lf; so that v = 360 m/sec = L X 10 cycles/sec and L = 360/10 = 36 meters.
The important thing to remember is that the crest (or any point) of a transverse wave will move just like anything else, with a velocity found by the distance traveled divided by the time it took to travel that distance. And when it comes to waves, the typical distance traveled is most always taken as one wave length (L).
The period is simply t in v = L/t; so t = 1/f = 1/10 sec/cycle when we use L = the wavelength.
Point of interest, if your wave were electro magnetic (EM), v = c = L/t = Lf; where c = the speed of light for whatever medium the EM wave is traveling in. So the equations for the velocity of a wave of water and a wave of light are exactly the same, but for one important characteristic. The wave velocity of water is not constant, the wave velocity of light is.
2007-01-12 13:58:26 · answer #2 · answered by oldprof 7 · 0⤊ 0⤋
a. The wavelength is 360m/s / 10 hz = 36 m
b. The period is 1/10hz = 0.1 s
2007-01-12 13:24:58 · answer #3 · answered by Nicolas B 1 · 0⤊ 0⤋