Question

A Ferris wheel has a radius of 20 m and turns once every 40 seconds. Passengers get on at the bottom, which is 1 m above the ground. what is the cos equation

Answer 1

radius of 20means your amplitude will be 20

Answer 2

turns once every 40 seconds means period is 40, so put \(40=\frac{2\pi}{b}\) solve for \(b\) get \(b=\frac{\pi}{20}\)

Answer 3

I did the equation, i'm just not sure if its right. I got y= -2-cos(piT/20)+21\[y=\]

Answer 4

-20 for a

Answer 5

that looks exactly right

Answer 6

\[-20\cos(\frac{\pi t}{20})+21\] i think does it

Answer 7

really? thank you. do you mind if i ask you another question?

Answer 8

sure i will see if i can help

Answer 9

there is this question in my book and it gives a table with all the months 1-12, and then each month has the duration of daylight in (h:m). So month 1, has duration of 9:05, month 2, has duration of 9:57, month 3 has duration of 11:12. It asks to express the duration as decimal values to the nearest hundredth of an hour.

Answer 10

how would i go that

Answer 11

divide by 60

Answer 12

\(\frac{.05}{60}\) for the first one, use a calculator

Answer 13

the answer at the back says that for month 1, the decimal duration is 9.08

Answer 14

for the 2ed its 9.95

Answer 15

and for the 3rd its 11.2

Answer 16

then of course add 9 so the first one is something like 9.0008

Answer 17

the first one is 9.08

Answer 18

ooops i must be tired

Answer 19

divide by 60, multiply by 100

Answer 20

i.e. divide by 60, move the decimal place over two

Answer 21

i get 9.83

Answer 22

ok let me stop being stupid
divide the minutes by 60

Answer 23

wait, its working

Answer 24

so you have 9 hours and 5 minutes
5 minutes convert to decimal by \(\frac{5}{60}=.083\) rounded

Answer 25

so first one is \(9.083\)

Answer 26

i divide the min by 60 and multiply by 100 , yes

Answer 27

thank you so much

Answer 28

well what i said was silly
just divide the minutes by 60 so for example \(\frac{57}{60}=.95\) and second one should be \(9.95\) etc
yw

Answer 29

its better than nothing. thank you so so much.

could you explain by i'm dividing by 60 though?