What is the velocity of a transverse wave on a steel cable under tension?

AI Thread Summary
To determine the velocity of a transverse wave on a steel cable under tension, the key formula used is velocity = sqrt(T/(m/L)), where T is tension and m/L is the linear density. The linear density can be calculated by first finding the mass using the density of steel and the cross-sectional area of the cable. The density of steel is given as 7860 kg/m³, and the cross-sectional area is 2.79 * 10^-3 m². To find the mass, multiply the density by the volume, which is the cross-sectional area times the length of the cable. Understanding these relationships allows for the calculation of wave velocity along the cable.
sheri1987
Messages
47
Reaction score
0

Homework Statement



A steel cable, of cross-sectional area 2.79 * 10^-3 m2, is kept under a tension of 1.00 * 10^4 N. The density of steel is 7860 kg/m3 (this is not the linear density). At what speed does a transverse wave move along the cable?


Homework Equations



velocity = sqroot(T/(m/L)) m/L = linear density

The Attempt at a Solution



I have no idea where to start this because I do not know what to do with the area given and also how to convert the regular density to linear density. Can anyone start me off? i then would know how to solve the problem, thanks!
 
Physics news on Phys.org
density =mass/volume and volume=Cross-sectional area*length

Helps?
 
thank you!
 

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

Transverse mechanical waves in a steel wire
Replies
10
Views
887
Time it Takes for a Transverse Pulse to Travel a Distance "L" Up a Cable Against Gravity?
Replies
13
Views
1K
Problem involving space elevators
Replies
19
Views
2K
Waves and vibrations on a string
Replies
2
Views
2K
When and where do two transverse waves on strings overtake each other?
Replies
8
Views
2K
Fundamental frequency of a wire wheel spoke
Replies
2
Views
2K
Waves on a String -- Minimizing reflections from the far end (ring on a bar)
Replies
1
Views
2K
What will the wave velocity be in this string?
Replies
15
Views
2K
Propagation Velocity of Transverse Waves
Replies
2
Views
4K
Tension and frequency of a vibrating violin string
Replies
26
Views
7K

Hot Threads

Recent Insights

Back
Top