What are its wavelength and frequency?

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A wave traveling at 200 m/s has a wave number of 1.5 rad/m, leading to the calculation of its wavelength. The wavelength is determined to be approximately 0.66 m by dividing 1 m by the wave number. However, the frequency calculation using the formula v = λf yields an incorrect result of 300 Hz. The discussion highlights confusion regarding the relationship between radians and cycles in the context of wavelength. Clarification is sought on how many radians correspond to a single cycle.
lostie100
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A wave travels with speed 200m/s. Its wave number is 1.5rad/m. What are its wavelength and frequency?

distance = wavelength x # of wavelengths
v=lamda(f)

1m = 1.5 (lamda) since in 1 meter there was 1.5 waves. 1/1.5 = 0.66m

200 = 0.66 (f); f = 300Hz.

But this is wrong. I don't know why...
 
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lostie100 said:
A wave travels with speed 200m/s. Its wave number is 1.5rad/m. What are its wavelength and frequency?

distance = wavelength x # of wavelengths
v=lamda(f)

1m = 1.5 (lamda) since in 1 meter there was 1.5 waves. 1/1.5 = 0.66m

200 = 0.66 (f); f = 300Hz.

But this is wrong. I don't know why...
How many radians are there in a single cycle (wavelength)?
 

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