00:01
So for this question we have a ferris wheel.
00:06
Let me try and draw a ferris wheel.
00:10
So we're looking at three different positions.
00:16
So we're going to look at a red one here.
00:20
We're going to look at the bottom.
00:21
Okay.
00:24
We're going to look at the top.
00:28
And we're going to look at halfway through.
00:32
But first, we want to find the centipidyl acceleration.
00:37
The centripetal acceleration is v squared.
00:40
Over r now since we're not giving velocity we're giving angular velocity uh velocity is r omega so this is going to be r omega squared over r is going to be r squared omega squared over r is going to be r squared omega squared over r this cancels that they have r omega squared so let's do some conversion so we're giving that there are four revolutions one minute right so one revolution is equivalent to two pi radiance so four revolutions is going to be four times that so that's going to be eight pi radiance okay so that's going to be in one minute we need to convert that to seconds because the unit of i'm going to velocity is raddance per second so that's going to be eight pi rad radium divided by 60 seconds.
01:56
We've got one minute is 60 seconds, right? so now we can find our ac, centrelatelle acceleration, so that's going to be...
02:07
The diameter was given us 18, so the radius is going to be 9.
02:13
So it's going to be 9 times 8 pi over 60 squared.
02:21
Okay? so the acceleration is going to be 1.
02:29
1 .579 millions per second squared.
02:34
So that's the first part of the question.
02:37
For the second part, we want to get the force when it's at the bottom, okay? so when you're here, when you're at the bottom.
02:47
So you're going to look at the force is acting there.
02:48
So here you have your weight pointing down and then you have your normal reaction or the normal force pointing up...