course phys 202
1. explain how we know that the velocity of a periodic wave is- equal to the product of its wavelength and frequency - in order to get the velocity we need to know how many length of the wavelength and how many pass per second
2.explain how we can reason out that the period of a periodic wave is equal to its wavelength divided by its velocity
-according to the formula the period equals the wavelength divided by the velocity
The formula encapsulates our reasoning; however reasoning gives the reason behind the formula.
The formulas relating frequency, period, angular frequency, wavelength, propagation velocity, etc., are easy to reason out in terms of simple images; without these images the formulas are nearly impossible to keep straight. You never know when there's supposed to be a 2 pi involved, and you never know when to multiply or divide. There are just too many variations. The only practical way to keep everything straight is to understand the reasoning.
3.explain why the equation of motion at a position x along a sinusoidal wave is A sin( `omega t - x / v) if the equation of motion at the x = 0 position is A sin(`omega t)
- if is x=0 then x is the distance on the wave then x/v is the time it takes to travel that certain amount of distance.
4.given the length of a string how do we determine the wavelengths of the first few harmonics?
- One can make up their own way of determining this by assigning what one or one-half wave length equals. If one were to make one-half wave length the actual string length (1*1/2), (2*1/2), etc.
5.Given the wavelengths of the first few harmonics and the velocity of a wave disturbance in the string, how do we determine the frequencies of the first few harmonics?
- we can use the equation for frequency to figure this out because it is equal to the wave velocity/wavelength.
6.ive the tensnion and mass density of a string how do we determine the velocity of the wave in the string?
- one can divide the tension by the mass per length and take the square root of that
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