What is the speed of a wave on the string?

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SUMMARY

The speed of a wave on a string under tension can be calculated using the formula v = √(T / (m/L)). In this discussion, the tension is given as 90N, the length of the string is 60cm, and the mass is 34.44g. The correct calculation yields a wave speed of 39.62 m/s, indicating a discrepancy in the initial answer of 396 m/s. This highlights the importance of careful unit conversion and formula application in physics problems.

PREREQUISITES
  • Understanding of wave mechanics
  • Familiarity with the formula for wave speed on a string
  • Ability to convert units (grams to kilograms, centimeters to meters)
  • Basic algebra skills for manipulating equations
NEXT STEPS
  • Review the derivation of the wave speed formula v = √(T / (m/L))
  • Practice unit conversion techniques in physics problems
  • Explore the effects of tension and mass on wave speed in different mediums
  • Investigate common mistakes in physics calculations and how to avoid them
USEFUL FOR

Students studying physics, educators teaching wave mechanics, and anyone interested in understanding the principles of wave propagation on strings.

Efast
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Homework Statement


The tension in the string is 90N; the string is 60cm long and has a weight of 34.44g. What is the speed of the wave on the string?
Answer: 396 m/s

Homework Equations


v = √ T / (m/L)

The Attempt at a Solution



v = √ 90N / (0.0344kg/0.6m)
v = 39.6 m/s

Huh? This looks like it should be pretty simple, plug in and get the answers...
What am I doing wrong, i need one more digit!??
 
Physics news on Phys.org
Your solution looks correct to me.

I once had a physics teacher who would dig through the questions and solutions so he could assign all of the ones that were wrong. A lot to be learned that way (like which professor never to sign up for again!)
 
The answer is 39.62 m/s, there must be a mistake in the given or answer! check you prof.
 

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