when you slosh the water back and forth in a tub at just the right frequency, th

Question

when you slosh the water back and forth in a tub at just the right frequency, the water alternately rises and falls at each end, remaining relatively calm at the center. Suppose the frequency to produce such a standing wave in a 70 cm -wide tub is 0.75 Hz .

Part A

What is the speed of the water wave?

when you slosh the water back and forth in a tub at just the right frequency, the water alternately rises and falls at each end, remaining relatively calm at the center. Suppose the frequency to produce such a standing wave in a 70 cm -wide tub is 0.75 Hz .

Part A

What is the speed of the water wave?

Explanation / Answer

In the standing wave usally 2 nodes & 1 antinode in the middle. i.e., 1/2 cycle
Wavelength is therefore 0.70m x2 = 1.4m
v = Fx = 0.75 x 1.4

v= 1.05m/s
Speed of wave is 1.05 m/s

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