Answer:
The type and length of a lunar eclipse depend on the Moon's proximity to either node of its orbit. ... A total lunar eclipse can last up to nearly 2 hours, while a total solar eclipse lasts only up to a few minutes at any given place, due to the smaller size of the Moon's shadow.
Answer:
The tension is 75.22 Newtons
Explanation:
The velocity of a wave on a rope is:
(1)
With T the tension, L the length of the string and M its mass.
Another more general expression for the velocity of a wave is the product of the wavelength (λ) and the frequency (f) of the wave:
(2)
We can equate expression (1) and (2):
=![\lambda f](https://tex.z-dn.net/?f=%20%5Clambda%20f%20)
Solving for T
(3)
For this expression we already know M, f, and L. And indirectly we already know λ too. On a string fixed at its extremes we have standing waves ant the equation of the wavelength in function the number of the harmonic
is:
![\lambda_{harmonic}=\frac{2l}{N_{harmonic}}](https://tex.z-dn.net/?f=%20%5Clambda_%7Bharmonic%7D%3D%5Cfrac%7B2l%7D%7BN_%7Bharmonic%7D%7D)
It's is important to note that in our case L the length of the string is different from l the distance between the pin and fret to produce a Concert A, so for the first harmonic:
![\lambda_{1}=\frac{2(0.425m)}{1}=0.85 m](https://tex.z-dn.net/?f=%20%5Clambda_%7B1%7D%3D%5Cfrac%7B2%280.425m%29%7D%7B1%7D%3D0.85%20m)
We can now find T on (3) using all the values we have:
![T= \frac{2.42\times10^{-3}(0.85* 440)^2}{0.45}](https://tex.z-dn.net/?f=%20T%3D%20%5Cfrac%7B2.42%5Ctimes10%5E%7B-3%7D%280.85%2A%20440%29%5E2%7D%7B0.45%7D)
![T=75.22 N](https://tex.z-dn.net/?f=%20T%3D75.22%20N)
Acceleration = velocity/time
A= 3.5m/s/15s
A= 0.23m/s^2