How do you calculate tension in the string?

  • Thread starter Thread starter hellokitty
  • Start date Start date
  • Tags Tags
    String Tension
AI Thread Summary
To calculate the tension in the guitar string, first determine the wave speed using the frequency and the length of the string. The frequency of 420 Hz and three antinodes indicate that the string is vibrating in its third harmonic. The wave speed can be found using the formula v = f * λ, where λ is the wavelength corresponding to the length of the string. The tension can then be calculated using the formula T = μ * v², where μ is the linear density of the string. Understanding these relationships is crucial for solving the problem effectively.
hellokitty
Messages
19
Reaction score
0

Homework Statement



A guitar string with a linear density of 2.0 g/m is stretched between supports that are 60 cm apart. The string is observed to form a standing wave with three antinodes when driven at a frequency of 420 Hz.

What is the tension in the string?
 
Physics news on Phys.org
Please show us what you've tried so far.
 
I don't have any formulas to even begin solving the problem. i just know f= v/x an f= 1/period? My book does not have any formulas pertaining to tension and the teacher never taught us this information.
 
Thread 'Variable mass system : water sprayed into a moving container'

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}...
View full post »

Similar threads

Waves and vibrations on a string
Replies
2
Views
2K
Finding the frequency of a string based on Mass and Tension
Replies
1
Views
3K
How Do You Calculate the Tension of a Cello String?
Replies
1
Views
2K
Tension required to tune a string to the note of ##E_2##
Replies
1
Views
2K
Calculating Mass of a Vibrating String Using Known Quantities
Replies
10
Views
2K
Tension and frequency of a vibrating violin string
Replies
26
Views
7K
What will the wave velocity be in this string?
Replies
15
Views
2K
Tension in 4 strings suspending object at 4 different points
Replies
19
Views
4K
Waves on a String -- Minimizing reflections from the far end (ring on a bar)
Replies
1
Views
2K
When and where do two transverse waves on strings overtake each other?
Replies
8
Views
2K

Hot Threads

Recent Insights

Back
Top