Calculate Speed and Time of Longitudinal Wave in 6m Spring

AI Thread Summary
The speed of a longitudinal wave in a 6.0m spring with a frequency of 10.0 Hz and a wavelength of 0.75m is calculated to be 7.5 m/s. To determine the time it takes for the wave to travel the length of the spring, the formula t = d/v is applied, where d is the distance (6.0m) and v is the speed (7.5 m/s). This results in a time of 0.8 seconds to traverse the spring. The discussion highlights the application of basic wave equations and the relationship between distance, speed, and time. Overall, the calculations demonstrate fundamental principles of wave mechanics.
jaron
Messages
23
Reaction score
0

Homework Statement


a longitudinal wave in a 6.0m long spring has a frequency of 10.0 Hz and a wavelength of 0.75m. calculate the speed of the wave and the time that it would take to travel the length of the spring.


Homework Equations


v = f (wavelength)


The Attempt at a Solution


v = 10(0.75)
v = 7.5 m/s

then in order to find the time it would take to travel the length of the spring i have no idea.

any help is always appreciated
 
Physics news on Phys.org
It travels at 7.5 m/s. The spring is 6.0 m long. So how long does it take to traverse the spring?

Here's an equivalent question: you are driving a car at 75 km/h. How long does it take you to drive 60 km?
 
ah yes. so we are back to the old t = d/v

that makes very good sense. thank you.
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top