A person lying on an air mattress in the ocean rises and falls through one complete cycle every five seconds. The crests of the wave causing the motion are 24.0 m apart. Determine (a) the frequency and (b) the speed of the wave.
2007-06-19 22:18:23 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Physics
a) this means 1 complete wave is passing every 5 seconds
f= number waves/time taken
= 1/5 = 0.2Hz
b)a wave will pass through a distance of 1 wavelength (24m) in 5 seconds
v = d/t
= 24/5 = 4.8m/s
or wavelength = 24m
frequency = 0.2Hz
v = f x (wavelength)
= 0.2 x 24
= 4.8m/s
2007-06-19 22:31:02 · answer #1 · answered by pat_arab 3 · 0⤊ 0⤋
Dude,
If there was one wave top in every second,
its frequency becomes 1 beat per second or let say 1 Hertz.
As your wave comes every 5 second, its 1/5 beat per second or 0.2 Hertz.
And speed is distance divided by time.
Therefore 24/5 = 4.8 m/s (meter/second)
.
2007-06-20 05:29:46 · answer #2 · answered by rexxyellocat 5 · 0⤊ 0⤋
Frequency = 1/ period = 1/5 = 0.2 cycles/sec or 0.2 Hz
Velocity = frequency x wavelength = 0.2 x 24 = 4.8 m/sec
2007-06-20 05:31:29 · answer #3 · answered by Swamy 7 · 0⤊ 0⤋