What are its wavelength and frequency?

Click For Summary
SUMMARY

The discussion focuses on calculating the wavelength and frequency of a wave traveling at a speed of 200 m/s with a wave number of 1.5 rad/m. The correct wavelength is determined to be approximately 0.66 m, derived from the formula where distance equals wavelength multiplied by the number of wavelengths. The frequency is calculated using the relationship v = λf, resulting in a frequency of 300 Hz. However, the initial calculations were questioned, indicating a need for clarification on the relationship between wave parameters.

PREREQUISITES
  • Understanding of wave mechanics and terminology
  • Familiarity with the wave equation v = λf
  • Knowledge of wave number and its significance
  • Basic algebra for solving equations
NEXT STEPS
  • Study the derivation of the wave equation v = λf in detail
  • Explore the concept of wave number and its applications in physics
  • Learn about the relationship between radians and cycles in waveforms
  • Investigate common mistakes in wave calculations and how to avoid them
USEFUL FOR

Students and educators in physics, engineers working with wave phenomena, and anyone interested in understanding wave properties and calculations.

lostie100
Messages
14
Reaction score
0
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...
 
Physics news on Phys.org


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)?
 

Similar threads

  • · Replies 15 ·
Replies
15
Views
1K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 8 ·
Replies
8
Views
1K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 4 ·
Replies
4
Views
4K
  • · Replies 5 ·
Replies
5
Views
6K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 6 ·
Replies
6
Views
3K