Two sinusoidal waves with identical wavelengths and amplitudes travel in opposite directions along a string with a speed of 11 cm/s. If the time interval between instants when the string is flat is 0.33 s, what is the wavelength of the waves?

wavelength = (wave speed) / (frequency)
wavelength = (11 cm/s) / (0.33 s)
wavelength = 16.7 cm

Wrong answer and I know that I am missing something here but I can't figure out what. Any help?

You put time in for frequency. Hmmmm.

The time for a period is twice the .33 (think out why).

wavelength= 11cm/s * time= 11*.66 cm.

To determine the wavelength of the waves, we can start by finding the time period of the waves.

The given information states that the time interval between instants when the string is flat is 0.33 seconds. However, this time interval corresponds to half of the time period of the wave, not the full time period.

The time period of a wave is the time it takes for one complete cycle of the wave. Since the waves are sinusoidal waves and have identical wavelengths and amplitudes, the time period for each wave should be the same.

Therefore, to find the time period, we multiply the given time interval by 2:
Time period = 0.33 s * 2 = 0.66 s

Now that we have the time period, we can proceed to calculate the wavelength using the formula:
Wavelength = Wave speed / Frequency

Given that the wave speed is 11 cm/s and the frequency is the reciprocal of the time period (f = 1/T), we can calculate the wavelength:
Wavelength = 11 cm/s / (1 / 0.66 s)
Wavelength = 11 cm/s * 0.66 s
Wavelength = 7.26 cm

Therefore, the correct answer for the wavelength of the waves is 7.26 cm, not 16.7 cm as previously calculated.

To find the wavelength of the waves, you can use the formula:

wavelength = wave speed / frequency

Since the two waves have identical wavelengths and are traveling in opposite directions, the time interval between the instants when the string is flat represents the time for one complete wave.

So, the time for one complete wave (period) is 2 times the given time interval of 0.33 s. Therefore, the period is 0.33 s * 2 = 0.66 s.

Now, you can use the formula above to find the wavelength:

wavelength = 11 cm/s / 0.66 s = 16.7 cm

So, the correct wavelength of the waves is 16.7 cm.