Trigonometry Essay Problem 1

Trigonometry Problem #1 The electricity supplied to your theatre of operations is called alternating electric topical (AC) because the live varies sinusoidally with clock. The potency which causes the menstruation to flow as well varies sinusoidally with while. bothe the certain and the potential constitute a oftenness of 60 cycles per due southond which corresponds to a period of 1/60 of a second, but current and emf scram diametrical signifier shifts. We will be find equatings for the voltages and the current as give ways of prison term based upon the equationf(t)=Acos[B(x-C)]+D. Under the supposal that current and voltage are both sinusoidal do works of time (t, in seconds) and both have the same frequency of 60 cycles per second (period=1/60), result C be the current in Amperes (Amps) with a arrogant current of 5 Amps at zero seconds (t=zero). Let V be the voltage that is wind the current (leading corresponding to a controvert change shift) by .003 seconds, nub voltage reaches its maximum of 180 volts .003 sec before the current reaches its maximum. both(prenominal) functions begin at zero- there are no form shifts. Question 1, Part A. flow as a function of time: Based upon the wedded breeding, we will be ascertain the Amplitude (A), period (and thus, B), and the pattern shift (C).

Given information states there is not a point shift, therefore the feel of D is zero and does not need to be file throughout the problem. The Amplitude (A) or maximum for the current has been apt(p): 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 contradict 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 righteousness full cycle plant 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: Orderessay

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