Answer :
282.84m/s is the speed if the tension is halved.
What is speed?
- The speed of the wave is doubled since it is related to the square root of the tension. Tension controls the vertical force acting on string molecules perpendicular to wave motion, which controls the rate of perpendicular motion.
- The linear density and tension v=FT can be used to determine the wave's speed. According to the equation v = FT, the tension would need to be increased by a factor of 20 if the linear density was to grow by a factor of almost 20.
The wave depends on the following:-
- Wavelength
- Frequency
- Medium
The formula we will use is:-
[tex]$v=\sqrt{\frac{T}{p}}$[/tex]
According to the question, the speed of the tension is as follows
Where v Is the speed of the wave, T is the tension In the wire, and [tex]$\rho$[/tex] Is the density of the wire.
when tension is doubled.
[tex]&\mathbf{T}=\mathbf{2} \mathbf{T}_0 \\[/tex]
[tex]$v=\sqrt{\hat{a} \frac{2 T_{\hat{\theta}}}{I}}$[/tex]
[tex]$v=\sqrt{2} \frac{T \hat{a}}{I}$[/tex]
[tex]$v=\frac{2}{\text { vô }}$[/tex]
After calculating, the value of v get,
[tex]$v=\sqrt{2} * 200$[/tex]
The value [tex]$\mathrm{v}=282.84 \mathrm{~m} / \mathrm{s}$[/tex].
The correct question is,
The wave speed on a string under tension is 200 m/s. What is the speed if the tension is doubled?
To learn more about speed refer to:
https://brainly.com/question/13943409
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