Answer
given,
y(x,t)= 2.20 mm cos[( 7.02 rad/m )x+( 743 rad/s )t]
length of the rope = 1.33 m
mass of the rope = 3.31 g
comparing the given equation from the general wave equation
y(x,t)= A cos[k x+ω t]
A is amplitude
now on comparing
a) Amplitude = 2.20 mm
b) frequency =
![f = \dfrac{\omega}{2\pi}](https://tex.z-dn.net/?f=f%20%3D%20%5Cdfrac%7B%5Comega%7D%7B2%5Cpi%7D)
![f = \dfrac{743}{2\pi}](https://tex.z-dn.net/?f=f%20%3D%20%5Cdfrac%7B743%7D%7B2%5Cpi%7D)
f = 118.25 Hz
c) wavelength
![k= \dfrac{2\pi}{\lambda}](https://tex.z-dn.net/?f=k%3D%20%5Cdfrac%7B2%5Cpi%7D%7B%5Clambda%7D)
![\lambda= \dfrac{2\pi}{k}](https://tex.z-dn.net/?f=%5Clambda%3D%20%5Cdfrac%7B2%5Cpi%7D%7Bk%7D)
![\lambda= \dfrac{2\pi}{7.02}](https://tex.z-dn.net/?f=%5Clambda%3D%20%5Cdfrac%7B2%5Cpi%7D%7B7.02%7D)
![\lambda= 0.895\ m](https://tex.z-dn.net/?f=%5Clambda%3D%200.895%5C%20m)
d) speed
![v = \dfrac{\omega}{k}](https://tex.z-dn.net/?f=v%20%3D%20%5Cdfrac%7B%5Comega%7D%7Bk%7D)
![v = \dfrac{743}{7.02}](https://tex.z-dn.net/?f=v%20%3D%20%5Cdfrac%7B743%7D%7B7.02%7D)
v = 105.84 m/s
e) direction of the motion will be in negative x-direction
f) tension
![T = \dfrac{v^2\ m}{L}](https://tex.z-dn.net/?f=T%20%3D%20%5Cdfrac%7Bv%5E2%5C%20m%7D%7BL%7D)
![T = \dfrac{(105.84)^2\times 3.31 \times 10^{-3}}{1.33}](https://tex.z-dn.net/?f=T%20%3D%20%5Cdfrac%7B%28105.84%29%5E2%5Ctimes%203.31%20%5Ctimes%2010%5E%7B-3%7D%7D%7B1.33%7D)
T = 27.87 N
g) Power transmitted by the wave
![P = \dfrac{1}{2}m\ v \omega^2\ A^2](https://tex.z-dn.net/?f=P%20%3D%20%5Cdfrac%7B1%7D%7B2%7Dm%5C%20v%20%5Comega%5E2%5C%20A%5E2)
![P = \dfrac{1}{2}\times 0.00331\times 105.84\times 743^2\ 0.0022^2](https://tex.z-dn.net/?f=P%20%3D%20%5Cdfrac%7B1%7D%7B2%7D%5Ctimes%200.00331%5Ctimes%20105.84%5Ctimes%20743%5E2%5C%200.0022%5E2)
P = 0.438 W
Answer:
A.compared
Explanation:
Fossils help figure out the time that organisms lived. If you know one of the fossils, it can be used as a reference for others around.
Answer:
24k
Explanation:
We multiply by 200V by 24
Answer:
If merging onto an interstate, it is best to merge at the speed of the moving traffic.
Explanation:
As a driver, you cannot always count on the other drivers to see you wanting to merge onto the interstate, and even if they see you, they might not be willing to stop just so you merge, therefore it is best advised to look for a gap in the traffic and merge at the traffic speed.