Trigonometry Essay Problem 1

Trigonometry Problem #1 The electricity supplied to your phratry is called alternating electric topical (AC) because the contemporary varies sinusoidally with clock. The potentiality which causes the legitimate to flow as well as varies sinusoidally with sentence. bothe the authoritative and the potential drop constitute a relative frequency of 60 cycles per dryond which corresponds to a period of 1/60 of a second, but current and emf buzz off unlike signifier shifts. We will be find comparabilitys for the voltages and the current as give ways of m based upon the equationf(t)=Acos[B(x-C)]+D. Under the surmise that current and voltage are both sinusoidal leads of time (t, in seconds) and both have the same frequency of 60 cycles per second (period=1/60), part with C be the current in Amperes (Amps) with a lordly current of 5 Amps at zero seconds (t=zero). Let V be the voltage that is atomic number 82 the current (leading synonymic to a controvert transition shift) by .003 seconds, convey voltage reaches its maximum of 180 volts .003 sec before the current reaches its maximum. twain functions begin at zero- in that location are no grade shifts. Question 1, Part A. menstruum as a function of time: Based upon the addicted randomness, we will be find out the Amplitude (A), period (and thus, B), and the physical body shift (C).

Given information states there is not a physique shift, therefore the protect of D is zero and does not need to be recruit throughout the problem. The Amplitude (A) or maximum for the current has been given: 5 Amps. This indicates that the range will span from -5 to 5 on the y-axis. It is also given that at t=zero (time=zero) the current is equal to 5 Amps, meaning there is a electronegative phase shift (or phase shift to the left). A=5 B is calculated by the equation B=2?/( 1/60) , where p (period length)= 1/60 or the length of justice full cycle show from the frequency which is 60cycles per second. So p is 1/60 of a second long. Using my TI-84, I found B: B=2?/P ? B=2?/( 1/60) B=...If you want to get a full essay, order it on our website: Ordercustompaper.com

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