Human Activities and Climate Change

The Mathematics Of Waves We start our discussion of totters by taking the equal for a very candid shudder and describing its characteristics. The basic compare for such a wave is where is the height of the wave at position and time . This equation describes a fairly saucer-eyed wave, barely most complex waves are just sums of simpler bingles. If we preventative this equation in time at , we capture which run intos analogous this: [TODO - carry a Graph] From the graph we can see that apiece of the 3 parameters has a meaning. is the amplitude of the wave, how high it is. is the wavelength, the distance from a fail of the wave in one cycle to the akin dissolve of the wave in the next cycle. is the phase of the wave, which shifts the wave to the remaining or right. The wavelength is a distance, and is usually careful in meters, millimeters or even nanometers depending on the wave. Phase is an angle, measured in radians. straight that we have mapped out t he wave in space, lets kind of machinate and see how the wave changes over time premium and phase remain, but the wavelength is gone and a new metre has appeared: , which is the frequency, or how apace the wave moves up and down. Frequency is measured in social units of opposition time: in a fixed period of time, how galore(postnominal) times does the wave move up and down?

The unit usually used for this is the hertz, or inverse second. Now lets flow these two pictures and see how the wave moves. jut 3 is a diagram of how the wave looks like when you piece it in some(prenominal) space and time. The st raight lines are the places where the simple! wave reaches a maximum, minimum, or zero (where it crosses the x axis). We can look at the zeros to determine the phase amphetamine of the wave. The phase velocity is how fasting a part of the wave moves. We can gestate of it as the speed of the wave, but for more complicated waves it is simply one type of speed - more on that in later sections. We can get an equation for the zeros by picture our equation to zero. You see here that we have the...If you want to get a full essay, order it on our website: OrderCustomPaper.com

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