edit: http://100k.fnatic.com/ref/vEHm98y2
by the way could you please go and do that, all you have to do is answer 3 questions (and then like their facebook page), you can get the questions wrong and it will correct you but if it helps the answers are B C A. would really appreciate it because 25 referrals is a mousepad, thanks in advance
graph the non-reflex angle between the first and second hands of a clock
with the x axis as "minutes" starting from 0 (12 o clock) and the y axis as "the angle between the two hands"
find the equation that gives the non-reflex angle between the first and second hands of a clock
just something i thought of on the way home.
i'm feeling tired atm, so i think i'll try to do my homework, and maybe when i feel more energised after dinner i can go play games.
http://www.youtube.com/watch?v=gEAEmwBbMT8
hey harvard, this one's for you. it's a lot less-disjointed easier to listen to ambient. unlike this song which only i can appreciate and i strongly recommend no one listens to it.
the first one starts getting really good at 9 mins. i think the problem (well it's not actually a problem) with his 20+ min songs is that it's not like typical songs 4 mins long where you just jump into obvious melodies and catchy beats. it's more of a long build up to the climax of the song, and if you just skip the build up then it doesn't sound as good. so you have to somehow find 35 spare minutes.
the worst times are when i catch the 630 in the morning and listen to stella but the bus is too quick and i get to the good part at the end of the song but then i need to get off the bus.
so much to learn for chem latin and maths. oh wait thats everything.
so much to learn but i just can't be bothered. probably going to keep up the tradition of preping the week before
3 comments:
I bet this is revenge for all those times I linked 10 minute + songs.
I hope it is, or else I wouldn't need to listen to these ^^
Since the minute hand and hour hand move at a constant rate, the angle between them changes at a constant rate. So i think it starts at (0,0) and goes up in a straight line. So minute hand / 12 = hour hand until then, because the minute hand moves 12 times as fast, so angle between = minute hand - hour hand = minute hand - minute hand/12 = 180 degrees
so minute hand = 12 * 180 / 11 degrees = about 196 degrees, and since there are 6 degrees in a one minute interval, the minute hand would be at :32.7272... and so the graph peaks at x = 32.72... and y = 180 and goes back down to zero at minute hand - 60 = hour hand, which is minute hand - 60 = minute hand/12, so 11minute hand/12 = 60, so 60 * 12 / 11 is the minute hand and the hour hand, which is x = 720/11 minutes. Interestingly, it took the same time to come back around. And since we're technically back where we started the thing repeats.
So it goes up to y=180 degrees in 12 * 180 / 11 / 6 minutes, which is 360/11 minutes. Then it comes down symmetrically and keeps going forever.
I suppose you could draw the zigzag with a modulus function. Which happens to be exactly what a clock is, a modulus function.
To create the initial zigzag:
y = minute hand - minute hand / 60
y = 59x/60 until x = 32.whatever
Afterwards:
y = -59x/60 + 360
An absolute value graph would be nice.
y = -59|x - 32.whatever|/60 + 180
y = -(59 * |x-360/11| )/ 60 + 180
And then we insert the modulus, with it coming back to the start every 720/11 minutes:
y = -(59 * |x mod 720/11 - 360/11| ) / 60 + 180
sorry for spam, attempting to procrastinate english extension essay
Also sorry I did it wrong, the y axis is meant to be in degrees not minutes so annoying
y = 6x - 6x/12
= 6x - x/2
= 11x/2, which is nice
Corrected equation:
y = -(11/2) * (|(x mod 720/11) - 360/11|) + 180
This is what the graph looks like:
http://www.wolframalpha.com/input/?i=plot+y+%3D+-%2811%2F2%29+*+%28|%28x+mod+720%2F11%29+-+360%2F11|%29++%2B+180
it even gives negative side of graph, how nice
Post a Comment