Speed of Waves traveling on a taut string

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SUMMARY

The discussion focuses on calculating the time it takes for a wave to travel along a taut string with a length of 9.5 m, mass of 55 g, and tension of 6 N. The correct formula for wave speed is v = √(T/M), where M is the mass per unit length. The mass per unit length is calculated as M = mass/length, resulting in a value of 0.00579 kg/m. The wave speed is then calculated to be approximately 3.55 m/s, leading to a travel time of approximately 2.67 seconds for the wave to traverse the entire length of the string.

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  • Understanding of wave mechanics and properties of waves
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  • Ability to apply mathematical formulas to physical problems
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eagles12
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Homework Statement



If the string is mass 9.5 m long, has a mass of 55g and is pulled taut with a tension of 6N, how much time does it take for a wave to travel from one end of the string to the other?

Homework Equations



v=√(T/M)
M=mass/length

The Attempt at a Solution



First I converted 9.5m to 950cm and 55g to .055kg
then i divided .055/950 and divided 6 by the answer I got for that, and then took the square root. I got 320 as my answer (in 2 sigfigs) but it is saying that is incorrect.
 
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eagles12 said:

Homework Statement



If the string is mass 9.5 m long, has a mass of 55g and is pulled taut with a tension of 6N, how much time does it take for a wave to travel from one end of the string to the other?

Homework Equations



v=√(T/M)
M=mass/length

The Attempt at a Solution



First I converted 9.5m to 950cm
Why would you convert to cm units?

In the SI system of units, the standard units are meters, kilograms, seconds.

There's nothing wrong with moving to a different system, as long as you are consistent. If you convert length from meters to centimeters, you should also convert Newtons to some other units. Newtons have units of kg m/sec2. So you'd have to convert that to kg cm/sec2.

But why bother? It's easier to just stick with SI units.
and 55g to .055kg
Now that conversion I can understand. :approve:
then i divided .055/950 and divided 6 by the answer I got for that, and then took the square root. I got 320 as my answer (in 2 sigfigs) but it is saying that is incorrect.
'Sounds like you're trying to calculate the velocity. That's fine: it's an intermediate step. But don't consider it your final answer. The problem statement is asking you for time, not velocity.
 

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