Mathematics, 20.08.2019 06:30 kedan12

How long does it take the ferris wheel to make one full rotation?
h(t)=9sin(20(t-pi/2))+12 , h in metres and t in seconds

Answers: 1

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This is a circular ferris wheel, with diameter of 9 meters, and the axis
mounted 12 meters off the ground. The equation is the height of the
a point that starts out level with the axis, at 't' seconds after the wheel
starts up.

Now here's where things start to go awry:

The period of the revolution is the time it takes for the angle
inside the sine to change by 2pi .

20(t - pi/2) = 2pi

20t - 10pi = 2pi

20t = 12pi

t = 12pi/20 = 1.885 seconds

I can't help it. All I did was the math, and that was bullet-proof.
It was up to whoever wrote the question to guarantee that the
answer makes sense.

For one thing, I don't believe the 'pi/2' belongs inside the parentheses
with the 't'. But even if we take the 'pi/2' out of the parentheses, that
still only makes the period 3.183 seconds, which is still an uncomfortable
number ... especially for the riders.

Answer from: Quest

the answer is 200

step-by-step explanation:

this is a problem about poisson probabilities. i don't know if you've

already studied poisson distributions, or if you have a place to look

to read more about the subject.

here's how you can see a poisson distribution coming. when there are

a lot of events that may happen at any time (or any place), and when

you're counting how many of them happen at a particular time (or a

particular place), and each event is independent of the others, then

the result is a poisson distribution. this is roughly true for the

chocolate chips; one chip being in a cookie has only a small effect on

the probability that another chip will be in the cookie.

once you know you have a poisson distribution, you know a lot. there

is only one parameter to a poisson distribution, so if you know the

mean, you know everything. the form of the distribution is

probability of n chips = {[e^(-x)]*(x^n)} / (n! )

Answer from: Quest

yes because they have the same amount of green and blur marbles.

step-by-step explanation:

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How long does it take the ferris wheel to make one full rotation?
h(t)=9sin(20(t-pi/2))+12 , h...