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

AI Thread 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. Participants clarify that the wave speed can be derived from the frequency and wavelength relationship, noting that the frequency indicates the time per cycle is 0.00390625 seconds. The correct calculation leads to a wave travel time of approximately 1.953 x 10^-3 seconds. The conversation highlights the importance of understanding frequency and wavelength in wave mechanics. Overall, the participants successfully arrive at the solution through collaborative problem-solving.
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.
 
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Thread 'Variable mass system : water sprayed into a moving container'
Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
Back
Top