Ask your own question, for FREE!
Mathematics 7 Online
darkknight:

precalc

darkknight:

for this problem i am using the angular formulas and found out that it is in position 288 degrees from standard position but it isn't in standard position so I don't know how to solve it

justjm:

This mimics sinusoidal behavior, hence you'd need to use the function \(y(t)=rsin(\omega t - \phi )+y_o\) >Since \(r=45 \text{ft}\), then the amplitude would be 45 as well. Hence r=45 >The angular velocity \(\omega\) is 3.2 revolutions / minute. That can be converted to \(3.2\ \frac{rev}{\min}\cdot\frac{1\ \min}{60\ \sec}\cdot\frac{360°}{1\ rev}=\frac{19.2°}{\sec}\) Therefore \(\omega = 19.2°/s\) >The center is 59 ft up, so \(y_o\) is 59 >The radius of the wheel is 45 ft, and the center is 59 feet above ground. Hence the ferris wheel is 14 feet heigh, and the top of the wheel is at 108 feet. Now you can solve for \(\phi\) \(108=45sin(19.2(16)-\phi)+59\) \(\phi=217.2\) \(∴ y(t)=45sin(19.2t-217.2)+59\) Now you can convert 9 minutes to seconds (540 seconds) and find y(540)

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Latest Questions
laylasnii13: Can i dm anybody to vent having a rough time ??
13 hours ago 1 Reply 0 Medals
kaelynw: starting to draw a hand
4 hours ago 16 Replies 2 Medals
Twaylor: Rate it :D (Took 2 days)
13 hours ago 7 Replies 0 Medals
XShawtyX: Art, Short Writing Assignment: Imagining Landscapes
13 hours ago 4 Replies 1 Medal
XShawtyX: Chemistry, Help ud83dude4fud83cudffe
1 day ago 13 Replies 1 Medal
kaelynw: tried a lil smt, the arm is off but i like the other stuff
1 day ago 27 Replies 3 Medals
kaelynw: art igg
1 day ago 14 Replies 1 Medal
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!