Help with an equation about waves and wavelengths

  • Thread starter Thread starter BarelyPassing
  • Start date Start date
  • Tags Tags
    Wavelengths Waves
AI Thread Summary
A standing wave on a taut string vibrates at a frequency of 350 Hz and measures 1 meter in length with 6 antinodes. This configuration indicates the presence of 3 fundamental wavelengths along the string. The wavelength is calculated to be 1/3 meter. The wave speed in the string is determined to be approximately 116.67 m/s. Understanding these relationships is crucial for solving wave-related physics problems.
BarelyPassing
Messages
1
Reaction score
0
1. A standing wave is set up on a taut string. The string is vibrated at a frequency of 350 Hz. The string is 1 m long and a total of 6 antinodes are counted along its length. What is the wavelength of the standing wave? And what is the speed of the wave in the string?



2.I'm unsure of relevant equations



3. I haven't made an attempt at the equation as its midterm and I just joined the Physics class.

All help is appreciated!
 
Physics news on Phys.org
A point to be noted is that, in a vibrating string both ends of the string are fixed creating displacement nodes at those points.Now, the question says that there are 6 antinodes present on the string. So,the waves in vibrating string will contain 3 fundamental waves.
so,
3*wavelength=length of string
wav.=1/3 m
freq.=350 hz
so,
wave vel.=freq.*wavelength=116.666hz
 
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 »

Thread 'Egg Drop Challenge! Need ideas for winning designs'

I was thinking using 2 purple mattress samples, and taping them together, I do want other ideas though, the main guidelines are; Must have a volume LESS than 1600 cubic centimeters, and CAN'T exceed 25 cm in ANY direction. Must be LESS than 1 kg. NO parachutes. NO glue or Tape can touch the egg. MUST be able to take egg out in less than 1 minute. Grade A large eggs will be used.
View full post »

Similar threads

Circle approximation of a wave pulse on a string or spring
Replies
29
Views
1K
Critical frequency of Faraday Waves?
Replies
6
Views
1K
Waves and vibrations on a string
Replies
2
Views
2K
How does increasing the tension of a string affect various properties?
Replies
1
Views
1K
Understanding EM Wave Reflection: Wavelength Changes Explained
Replies
1
Views
1K
Total Internal Reflection and Transmitted Wavelength
Replies
1
Views
832
Sine Wave Questions: Wavelength, Frequency, Speed
Replies
2
Views
4K
Formula for calculating the wavelength of sound in interference
Replies
10
Views
3K
Standing waves on string with increasing tension
Replies
3
Views
7K
Wave equation, wavelenght not given
Replies
6
Views
2K

Hot Threads

Recent Insights

Back
Top