Answer:
T = 640N
Explanation:
In order to calculate the tension on the wire you use the following formula:
[tex]v=\sqrt{\frac{T}{m/L}}\\\\T=\frac{v^2m}{L}[/tex] (1)
T: tension on the wire
v: speed of the transverse wave
L: length of the wire = 1.0 m
m: mass of the wire = 100 g = 0.1kg
Then, you need to calculate the speed of the wave by using the information about the wavelength and the frequency of the wave. You use the following formula:
[tex]v=\lambda f[/tex] (2)
λ: wavelength = 0.10 m
f: frequency = 800Hz
You replace the values of the parameters in the equation (2):
[tex]v=(0.10m)(800Hz)=80\frac{m}{s}[/tex]
Next, with the information about the speed of the wave you can calculate the tension on the wire by using the equation (1):
[tex]T=\frac{(80m/s)^2(0.1kg)}{1.0m}=640N[/tex]
The tension on the wire is 640 N
