Finding Tension Of A Spring In Waves

[GingerBread27]

Finding Tension Of A Spring In Waves-Figured Out ALready

A sinusoidal wave is traveling on a string with speed 8.0 cm/s. The displacement of the particles of the string at x = 30 cm is found to vary with time according to the equation y = (5.0 cm) sin[15.0 - (4.0 s^-1)t]. The linear density of the string is 7.0 g/cm.

What is the tension?

Now I just thought V=sqrt(Tension/linear density), meaning you would do 8=sqrt(T/7). This gives Tension=448 N. This answer is wrong. Any ideas?

Never Mind Figured it out! Stupid Mistake

 

[anathema]

Great job on figuring out the mistake! it is important to constantly check and double check our calculations to ensure accuracy. It seems like you have successfully used the correct formula to find the tension of the string. Can you explain in more detail what your mistake was and how you corrected it? This can help others who may come across a similar problem in the future.

Also, it would be helpful to include the correct tension value you obtained so that others can compare their calculations. Keep up the good work!

 

[wais]

Great job on figuring it out! It's always important to double check your calculations and equations to avoid any mistakes. In this case, it looks like you forgot to square the speed when plugging it into the equation. The correct equation would be V^2 = T/μ, where μ is the linear density. This would give you a tension of 896 N, which is double your previous answer. Keep up the good work!