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 43-cm -wide tub is 0.84 hz . part a what is the speed of the water wave?

Answer 1

The speed of the water wave in the tub is approximately 0.43008 m/s.

Step-by-step explanation:

In order to calculate the speed of the water wave, we need to use the formula:

Speed = Wavelength x Frequency

We are given the frequency of the wave, which is 0.84 Hz. To find the wavelength, we can use the formula:

Wavelength = Speed / Frequency

Since the width of the tub is given as 43 cm, we can convert it to meters by dividing by 100, giving us a width of 0.43 m. Plugging in the values, we get:

Wavelength = 0.43 m / 0.84 Hz

Wavelength = 0.512 m

Therefore, the speed of the water wave is:

Speed = 0.512 m x 0.84 Hz

Speed = 0.43008 m/s