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Express Y-74.1 sinlwt) + 85.2 coslwt) as degrees: Type your answer as: y-xxsinlwttyy) 'single sine wave: Phase angle should be in values should be rounded off ...

Question

Express Y-74.1 sinlwt) + 85.2 coslwt) as degrees: Type your answer as: y-xxsinlwttyy) 'single sine wave: Phase angle should be in values should be rounded off to with no spaces or units. significant digits Numerical

Express Y-74.1 sinlwt) + 85.2 coslwt) as degrees: Type your answer as: y-xxsinlwttyy) 'single sine wave: Phase angle should be in values should be rounded off to with no spaces or units. significant digits Numerical



Answers

Two sinusoidal waves are moving through a medium in the same direction, both having amplitudes of $3.00 \mathrm{cm}, \mathrm{a}$ wavelength of $5.20 \mathrm{m},$ and a period of $6.52 \mathrm{s}$, but one has a phase shift of an angle $\phi$. What is the phase shift if the resultant wave has an amplitude of $5.00 \mathrm{cm} ?[$Hint: Use the trig identity $\sin u+\sin v=2 \sin \left(\frac{u+v}{2}\right) \cos \left(\frac{u-v}{2}\right)$.

Yeah, to compute I am with just a subsidy to the P. Z. And feed with their values into this formula. And now we use a calculator to compute its value. Mhm. Its value is approximately .200 six 35

I have friends here. It is given the result in way 16 cause of oh my God Plus eight cause of Omega T Plus 19. It has four cars off omega de plus pipe. That's two cars off Omega T. blessed three by Vito. Using physical diagram we have to fight a result interpreter and it question of the project can be Here. He not one is 16 unit. He not too is eight unit. You're not three is 4 unit And not for is two units. Now drawing the Phaser Diagram. He not one 16 17 m. He's not too eight centimeter. E not three four centimeter. He not fooled who sent emitted. So this will be the result into a little or not and by geometric you know you will get 13.4 cm. Mhm and alpha. You can major By protected 146 radio. So in question will be 13.4 cars off negative plus 0.46 Well in that so thanks for

In the first item. We want to increase the face angle for minors 39.3 degrees to minus 22.5 degrees. Remember that the tangent off the face and go is he goes to excel. Mine is sexy, divided by the resistance We want that angle to increase on by increasing in this particular situation the tangent off the face and low we'll be closer to zero So we want to decrease this quantity as a world by only mass Mr Frequency Not that you circulate We have XY bigger than excel So this is a capacity of circuit. The capacitance dominates the circuit. If we want to decrease the difference between excel on Maxie, we must decrease exceed while increasing excel Remembering that excel is it goes to two pi times The frequency times they look tense on backseat is equals to one divided by two pi times the frequency times like a past tense We can see that by increasing the frequency way Exactly what we want to go by increasing f we increase excel Why you decreasing XY So what happens is that excel miners XY will decrease has wanted then we should increase the frequency in the second item, we have to find the value off the new frequency. Note that we can do that by using this relation between the ancient off the phase on the property is off the circuit. Two. We got the changing off phase You close to to pie F l f prime here minus on. Also fight crime here one divided by two pi. If prime time See And this is all divided by the resistance are then we have to solve these equations for the frequency and we do it as follows. What you playing both sides by r to get our tangent off. Five Prime is he goes to two pi f prime l minus one divided by two pie. That's Brian. See, now we have to cross multiply this fractions to make the eliminator the same to get our times that kind agent off five Prime. Is it close to to pi squared f Brian squared the l C minus one divided by two pi f Brian. See? No, we can do the following. We can send this term to the other side as a multiplication to get our times to pie times see Time's left prime Time's the Tangent five. Prime is he goes to to pi squared f Prime squared times the all time See my nose one. Then we can put our terms on the same side of the equation to get a second order uh, equation. And by doing so, we get the following to pie squared times l time See times f prime squared minds to pi times our time See times the tangent off five prime left prime miners one Is it cost zero. Now all we have to do so this quadratic equation and we do so by using basket rest formula which goes as follows it is screaming on for these equation Easy clothes, too. B squared. So this term here squared to pie times our time See Time's detain Geant fight crime squared miles four times to buy square times l time. You see time's men with one Then Delta is equals two to pi squared times r squared times He's queer times Detain Geant Square off the new face Uncle plus four times two pi squared I'm zero time to see Finally the frequency is down equals two minus beat So miners, this term here. So two pi times our time see Thank the tangent off five prime plus or minus the square it off the screaming and to pi squared r squared times C squared times the tangent square lo fi prime It was four to pi squared times l Time see divided by two times to pi squared times l c Then we can plug in the values that are giving the problem to get F Brian is equal stupid to pie Times 175 times 15 times 10 to the minus six times the tangent off minus 22.5 degrees plus or minus the square root off to pi squared times 175 squared times 15 times 10 to the minus six squared Plus uh oh, not yet forgot to change it Times the tangent squared off minus 22.5 degrees plus four times to pie squared times ill which is equals 2 19 time Stan to the minus three time. See which is equal to 15 times. Stand to the minus six and this is all under a square root and finally, this is all divided by two times two pi square times L, which is 90 times 10 to the minus tree times the capacitance, which is 15 times 10 to the minus six. And these gives us two possible frequencies. We tried approximately minus 24 eight point true hurts or 75 point 59 hertz. I know that there are no negative frequencies, so we do not consider the solution. And finally, the new frequency should be 75.59 hertz finally on the last tight. And we have to calculate what is the R. M s current in the circle? It In that case, we can use homes law. The our romance is it goes to I are a mess times the impudence. But not that the following the court sign off the fees is equals. Two. The resistance divided right impedance uniform impudence. Physicals to the resistance divided by the co sign off the face Dan, the current is equals True, the r a mass divided Bye, zee because it goes to Vieira mass times the co sign off the phase divided by our we can then plugging their values that are given in the problem to get 120 times the cool sign off minus 22.5 degrees, divided by the resistance, which is 175. And these results in on Aramis current, off approximately zero point 634 and peers.

We begin. This question by evaluating the reactors is and we begin by the capacity of reactors, which is given by one divided by two pi times the frequency times like capacitance and plugging the values given by the problem. We got one divided by two PI finds 60 times 1.5 times Stand to the Final Six because off the my group prefix here and these is approximately 1.77 kilo warms. And now we go to the inductive reactors, which is given by Excel and these eagles to two pi times the frequency times the doctors, then plugging the values given by the problem. We get to pie times 60 Dying's, uh, 250 times 10 to the minus tree because of the mealy prefix here. And these is approximately 94 points, too, holds Now. Remember that the tangent off the phase is it close to the looked reactors minds, the capacity of reactions provided by the resistance, and this is he goes to 94.2 miners, 1.77 time stand to get heard over 9.9. I'm standing deterred, then the fees is he goes to the inverse tangent off 94 more 12 miners, 1.77 Time Stand to the turd, divided by 9.9 times 10 to the third. And these is approximately miners 9.6.


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