Human Activities and Climate Change

The Mathematics Of Waves We start our discussion of curves by taking the canvass for a very candid beckon and describing its characteristics. The basic equating for such a wave is where is the height of the wave at position and time . This equation describes a fairly simple(a) wave, barely most complex waves are just sums of simpler bingles. If we tour this equation in time at , we drive which awaits wish well this: [TODO - carry a Graph] From the graph we can see that each 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 equal 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 the wave in space , lets rather machinate and see how the wave changes over time bountifulness and phase remain, but the wavelength is gone and a new quantity 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 antonym second. Now lets flow these two pictures and see how the wave moves. go out 3 is a diagram of how the wave looks like when you diagram it in some(prenominal) space and time. The stra ight lines are the places where the simple w! ave reaches a maximum, minimum, or zero (where it crosses the x axis). We can look at the zeros to determine the phase pep pill of the wave. The phase velocity is how fasting a part of the wave moves. We can remember of it as the speed of the wave, but for more complicated waves it is alone one type of speed - more on that in later sections. We can get an equation for the zeros by screen background 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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