Solved: Pulse Wave Problem - Speed of the Crest in m/s

  • Thread starter Thread starter bricker9236
  • Start date Start date
  • Tags Tags
    Pulse Wave
AI Thread Summary
To find the speed of the pulse wave on a string, the relevant formula is v = sqrt(F/u), where u is the linear density calculated as u = M/L. Given a string length of 5 m and mass of 10 kg, the linear density u is 2 kg/m. With a tension of 200 N, the wave speed v is calculated as v = sqrt(200/2), resulting in a speed of 10 m/s. The initial calculation was incorrect due to a misunderstanding of the linear density, which should be based on the correct length of the string. The correct speed of the crest of the pulse is 10 m/s.
bricker9236
Messages
10
Reaction score
0

Homework Statement



A string of length l = 5 m weighs M = 10 kg . A pulse wave is traveling along the string. What is the speed v of the crest of the pulse, in the uint of m/s , if the tension of the string F is 200 N ?



Homework Equations



v= sqrt F/u
u= m/L

HELP: We can obtain an expression for the wave speed by analyzing the forces acting a string of length l and mass M. Do you recall the resulting relation between the speed of the wave and the tension and the linear density?

HELP: ...Get the density by defination and then use above equation.


The Attempt at a Solution



I tried importing the numbers into the equation what I thought was the equation the HELP statement suggested.. and i got

v=sqrt 200/(10/15) = 17.320 ... is there something else i should be doing because this answer was wrong but i thought for sure i was doing it correct.
 
Physics news on Phys.org


The length of the string is 5 m. Where did you get 15 m?
 

Thread 'Errors and significant figures'

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...
View full post »
Thread 'A cylinder connected to a hanging mass'

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...
View full post »

Similar threads

Circle approximation of a wave pulse on a string or spring
Replies
29
Views
1K
Time it Takes for a Transverse Pulse to Travel a Distance "L" Up a Cable Against Gravity?
Replies
13
Views
1K
Question about Waves on a String
Replies
2
Views
2K
Propagation of transverse pulse on a string
Replies
6
Views
2K
What is the time taken by a pulse generated at the bottom of a string to reach the top?
Replies
8
Views
1K
Wave speed for non-uniform density?
Replies
6
Views
4K
Equation for the propagation of the crest of a wave
Replies
6
Views
3K
What do wave crests indicate about a boat's speed?
Replies
7
Views
3K
When and where do two transverse waves on strings overtake each other?
Replies
8
Views
2K
What will the wave velocity be in this string?
Replies
15
Views
2K

Hot Threads

Recent Insights

Back
Top