Ask Experts Questions for FREE Help !
Ask
    GladHe8H3r's Avatar
    GladHe8H3r Posts: 1, Reputation: 1
    New Member
     
    #1

    Dec 8, 2008, 06:32 AM
    Word Equation for Pre Calc
    The sun iluminates half of the moon's surface, except during a lunar eclipse. The illuminated portion of the moon visible from Earth varies as t revolves around Earth resulting in the phases of the moon. The period from a full moon to a new moon and back o a full moon is called a synodic month and is 29 days, 12 hours, and 44.05 minutes long. Write a sine function that models the fraction of the moon's surface which is seen to be illuminated during a synodic month as a function of the number of days, d, after a full moon. (Note: full moon equals 1/2 illuminated.) SHOW WORK!

    Can anyone help me fast.
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
    Expert
     
    #2

    Dec 8, 2008, 08:40 AM


    NOTE: EDITED TO ADD THE +C TERM (forgot it in my original post)

    A basic sine function is of the form:



    Where f is the "frequency" of the sine wave, in this case in terms of cycles per day. It is related to the period (T) of the sine wave by:



    So here you need to first find the period T in days (you are given T in terms of days hours and minutes, so you need to convert that to days).

    The phase shift is a term that corrects for the fact that at t = 0, sin(ft) = 0, but you want f(0) to be at a maximum at t=0, so you need to shift the sine wave by 1/4 period. So needs to be set at 1/4 of the overall period (in days).

    A is the half-amplitude of the sine wave - in this case you are told that the maximum illumination is considered to be 1/2, so you want a sine wave that varoes from 0 to 1/2. The half amplitude would be 1/4. (Personally I would have called it 1, not 1/2, since for an observer on the earth the full moon appears 100% illuminated. Your math teacher is apparently not much of an astronomer, but if s/he wants you to call a full moon 1/2 illuminated, so be it).

    Finally, C needs to be set so that the sine wave function varies from 0 to 1/2. Without this term the sine wave would vary from -1/4 to +1/4. So make C equal to A.

    So now can you put it all together?

Not your question? Ask your question View similar questions

 

Question Tools Search this Question
Search this Question:

Advanced Search


Check out some similar questions!

I Really Need Helping forming the equation from the Word equation! [ 1 Answers ]

OK here we go I have been working forever on this question and I need help!! Zinc Sulfate heptahydrate + Potassium Carbonate PLEASE HELP!!

Word Equation [ 1 Answers ]

Tom takes his motorboat upstream to his favorite fishing spot, a distance of 36 miles, in 2 hours. The return trip of the same distance takes only 1 hour 30 minutes. If the boat travels at top speed in both directions, what is the speed of the currents? :confused:

Word equation as chemical equation and balance [ 2 Answers ]

Can anyone help me with these. I don't get it.:confused: Aluminum bromide + chlorine yield aluminum chloride +bromine Potassium chlorate when heated yields potassium chloride + oxygen gas Hydrogen +nitrogen monoxide yield water + nitrogen


View more questions Search