How long does it take for wave to travel the lenght of the string

Click For Summary
SUMMARY

The discussion centers on calculating the time it takes for a wave to travel the length of a string fixed at both ends, with a fundamental frequency of 256 Hz. The participants utilized the equation V = f (λ) to derive the wave's velocity and subsequently the time. The final answer determined was 1.953 x 10-3 seconds, confirming that the time per cycle is 0.00390625 seconds. The understanding of frequency as cycles per second was crucial in solving the problem.

PREREQUISITES
  • Understanding of wave mechanics and fundamental frequency
  • Familiarity with the equation V = f (λ)
  • Basic knowledge of cycles and time calculations
  • Concept of wavelength in relation to frequency
NEXT STEPS
  • Study wave speed calculations in different mediums
  • Learn about harmonic frequencies in fixed strings
  • Explore the relationship between frequency, wavelength, and velocity
  • Investigate practical applications of wave mechanics in engineering
USEFUL FOR

Students studying physics, educators teaching wave mechanics, and anyone interested in understanding the principles of sound waves and their behavior in fixed mediums.

RaPiD
Messages
15
Reaction score
0

Homework Statement



Fundamental frequency of a string fixed at both ends is 256 Hz. How long does it take for a wave to travel the length of string?

Homework Equations



V = f (lambda)

Otherwise, not really sure.

The Attempt at a Solution



I didn't really know how to approach this problem because the length of the string wasn't given because I was thinking that if I had the distance I could find the velocity and then the time.
 
Physics news on Phys.org


256 hz = 256 cycles/s

that means it takes 1/256 s/cycle, or 0.00390625 s/cycle.

so it's 0.00390625s, i think
 


thanks for the reply, but I think I go it now. I think since its fundamental frequency its half of the wavelength. And I completely forgot what frequency actually is.
 


The answer is 1.953 x 10-3 seconds. Is that what you got?
 


Yeah dx I got .00195 s , your last reply from my last question helped me a little more to understand it. Thanks again.
 

Similar threads

  • · Replies 19 ·
Replies
19
Views
1K
Replies
13
Views
2K
  • · Replies 29 ·
Replies
29
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
8
Views
2K