Angular frequency, phase velocity, and period

AI Thread Summary
The discussion revolves around calculating the period (T) from the given angular frequency (w) of 2000π. The relevant equations include T = 2π/w and the relationship between phase velocity and wavelength. There is confusion regarding the significance of phase velocity in this context, with some participants suggesting it is not crucial for finding T. A calculation error is noted, as T should be 1x10^-3 instead of pi x 10^3. The conversation highlights the importance of correctly applying formulas to derive the desired values.
jakey
Messages
51
Reaction score
0

Homework Statement


Given: angular frequency=2000pi
phase velocity=320m/s
period=? unknown


Homework Equations


f=w/2pi; w=omega. T=1/f. phase velocity = lambda/T

The Attempt at a Solution


i don't know what the sgnificance of the phase velocity is. this is because from 1/T = w/2pi, i can already compute the T=2pi/w or 1x10^-3. unfortunately, it s not in the choices. can someone help? thanks!
 
Physics news on Phys.org
The phase velocity isn't important. If you have angular velocity (w) then you can always find T using T = 2pi/w.
 
jakey said:
T=2pi/w or 1x10^-3. unfortunately, it s not in the choices. can someone help? thanks!

2pi/w should give piX10^03, not 1X10^-3.
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Back
Top