Calculating Wave Speed in a String: Formula and Step-by-Step Guide

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SUMMARY

The speed of propagation of a transverse wave in a string can be calculated using the formula: Speed = Wavelength × Frequency. Given a period of 0.075 seconds, the frequency is determined as 1/T, which equals approximately 13.33 Hz. The distance between two adjacent antinodes is 0.15 meters, representing half a wavelength; thus, the full wavelength is 0.30 meters. Therefore, the calculated wave speed is 4 meters per second.

PREREQUISITES
  • Understanding of wave properties, specifically wavelength and frequency.
  • Familiarity with the concept of antinodes in wave mechanics.
  • Basic knowledge of the relationship between period and frequency.
  • Ability to perform simple calculations involving multiplication and division.
NEXT STEPS
  • Research the relationship between wave speed, wavelength, and frequency in different media.
  • Learn about the concept of standing waves and their characteristics.
  • Explore the effects of tension and mass per unit length on wave speed in strings.
  • Study advanced wave phenomena such as interference and resonance.
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Physics students, educators, and anyone interested in understanding wave mechanics and calculations related to wave propagation in strings.

Joza
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I am trying to find the speed of propagation of a transverse wave in a string.

Speed = wavelength times frequency.

I have the period, .075s, so 1 over T is the frequency.
I have the distance between 2 ADJACENT antinodes, which is .15m (Is this the wavelength?)

Could someone work out the speed so I can double check?
 
Last edited:
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Two adjacent antinodes are half a wavelength apart.
 

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