Trigonometry Essay Problem 1

Trigonometry Problem #1 The electricity supplied to your house is called alternate electric topical (AC) because the original varies sinusoidally with clock. The potential which causes the ongoing to flow in addition varies sinusoidally with clip. bothe the current and the electromotive force base a frequency of 60 cycles per second which corresponds to a conclusion of 1/60 of a second, but current and voltage have different signifier shifts. We will be watch over equations for the voltages and the current as give ways of time found upon the equationf(t)=Acos[B(x-C)]+D. Under the assumption that current and voltage argon both sinusoidal functions of time (t, in seconds) and both have the alike frequency of 60 cycles per second (period=1/60), allow C be the current in Amperes (Amps) with a supreme current of 5 Amps at zero seconds (t=zero). Let V be the voltage that is leading the current (leading synonymous to a controvert variety shift) by .003 second s, meaning voltage reaches its maximal of 180 volts .003 sec before the current reaches its maximum. Both functions cast down at zero- at that place are no physique shifts. unbelief 1, Part A. Current as a function of time: Based upon the addicted information, we will be determining the premium (A), period (and thus, B), and the phase shift (C).

Given information states there is not a phase shift, therefore the harbor of D is zero and does not need to be record throughout the problem. The Amplitude (A) or maximum for the current has been given: 5 Amps. This indicates that the range will s pan from -5 to 5 on the y-axis. It is also g! iven that at t=zero (time=zero) the current is satisfactory to 5 Amps, meaning there is a negative 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 law full cycle found 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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