How Do You Calculate the Speed of a Wave on a Rope?

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To calculate the speed of a wave on a rope with a linear density of 0.075 kg/m and a tension of 35 N, the formula v = √(F/(m/L)) is used. The initial calculation yielded a speed of 25 m/s, but upon reevaluation, the correct speed is determined to be approximately 21.6 m/s. This adjustment reflects a more accurate understanding of the relationship between tension and linear density. The discussion highlights the importance of double-checking calculations in physics problems. Accurate wave speed calculations are essential for understanding wave dynamics on ropes.
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Homework Statement



A vibrating rope has a linear density of 0.075 kg/m. If a tension of 35 N is applied to the rope what will be the speed of a wave traveling along the rope?


Homework Equations



v=\sqrt\frac{F}{m/L}


The Attempt at a Solution



Just wanted to see if I am headed in the right direction.

v=\sqrt{35/0.075}

v= 25 m/s
 
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Hello seker,

Welcome to Physics Forums!

seker said:

Homework Statement



A vibrating rope has a linear density of 0.075 kg/m. If a tension of 35 N is applied to the rope what will be the speed of a wave traveling along the rope?


Homework Equations



v=\sqrt\frac{F}{m/L}


The Attempt at a Solution



Just wanted to see if I am headed in the right direction.

v=\sqrt{35/0.075}
'Looks right to me so far. :approve:
v= 25 m/s
:rolleyes: Try calculating that again.
 
Thanks! Have not done Physics in so long and now have a bunch I need to do.

V= 21.6 ?
 
seker said:
Thanks! Have not done Physics in so long and now have a bunch I need to do.

V= 21.6 ?
That looks better. :approve:
 

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