Waves -- How does increasing tension affect frequency and period?

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SUMMARY

The discussion centers on the relationship between tension, frequency, and period in waves, specifically using the PhET simulation "Wave on a String." It is established that frequency increases with tension for standing waves, while for progressive waves, frequency remains unaffected by tension. The period (T) is inversely related to frequency (f), expressed as T=1/f. Misinterpretations regarding the effects of tension on frequency were clarified, emphasizing the importance of distinguishing between standing and progressive waves.

PREREQUISITES
  • Understanding of wave mechanics, specifically standing and progressive waves.
  • Familiarity with the relationship between frequency and period in wave physics.
  • Basic knowledge of the PhET simulation tools, particularly "Wave on a String."
  • Ability to interpret simulation settings and their effects on wave behavior.
NEXT STEPS
  • Explore the PhET simulation "Wave on a String" to observe the effects of tension on standing waves.
  • Study the principles of wave harmonics and their relationship to tension in strings.
  • Research the differences between standing waves and progressive waves in detail.
  • Learn about the mathematical derivation of the relationship between frequency and period in wave mechanics.
USEFUL FOR

Students of physics, educators teaching wave mechanics, and anyone interested in the dynamics of waves in strings and their applications in musical instruments.

jerad908
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Homework Statement
How does increasing tension affect frequency and period (T)?
Relevant Equations
none
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If you pull gut of violin or guitar tighter so with higher tension the scratch sound gets higher pitch so higher frequency. Period T is inverse of its frequency f, T=1/f.
 
jerad908 said:
Homework Statement:: How does increasing tension affect frequency and period (T)?
Relevant Equations:: none

Using this stimulation: https://phet.colorado.edu/sims/html/wave-on-a-string/latest/wave-on-a-string_en.html

It looks like frequency is decreasing as I increase tension but online it says frequency increases as tension does. Also, I am unsure about what happens to the Period
There is missing information. It is not clear if you are asking about a simple progressive (travelling) wave or a standing (stationary) wave. Also, if you are referring to the simulation, you would need to indicate what settings you used.

Also, you said “It looks like frequency is decreasing as I increase tension”. Even with the missing information I’d guess you have got this wrong - check again!

You said "online it says frequency increases as tension does". Note that this statement is only true for the harmonics of standing (stationary) waves. [Edit: In the case of progressive waves, the frequency is not affected by the tension - the frequency is that of the oscillator.]

Additional Note.
The simulation in your link is for standing (stationary) waves and is quite sophisticated. It includes transient effects and also the driver is not at a node. These 'advanced' features could confuse someone learning at an introductory level.
 

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