MHB Ferris Wheel Rotation: How Many Degrees Per Minute?

  • Thread starter Thread starter Anita1
  • Start date Start date
  • Tags Tags
    Observation Wheel
AI Thread Summary
The Ferris wheel has a diameter of 150 meters and completes one revolution in 18 minutes, resulting in a rotation of 20 degrees per minute. With a platform height of 15 meters, the total height of the structure is 165 meters. A table can be created to calculate the angle of rotation, vertical leg height, and capsule height at 10-minute intervals. The graph depicting the height of a capsule over time resembles a sinusoidal wave, reflecting the periodic motion of the Ferris wheel. The discussion emphasizes the mathematical relationship between time, degrees of rotation, and the height of the capsules.
Anita1
Messages
1
Reaction score
0
Ferris wheel consists of an observation wheel with a diameter of 150 meters atop a boarding terminal, giving structure an overall height of 165 meters.
Given that the Ferris wheel takes 18 minutes to complete one revolution, how many degrees will each capsule move per minute?
create a table calculating the angle of rotation, vertical leg height and capsule height from the ground for the given 10 interval of time. Calculate in degrees. Assume platform height is 15 meters.
 
Mathematics news on Phys.org
How many "capsules" are there on the Ferris wheel?
 
Given that the Ferris wheel takes 18 minutes to complete one revolution, how many degrees will each capsule move per minute?

This should be fairly simple, convert 360 degrees in 18 minutes to x degrees in 1 minute.

The graph shows height of a capsule above the ground in meters as a function of time in minutes, assuming the capsule starts at the very bottom at time zero ... does the shape of the graph look familiar?
 

Attachments

  • Ferris_2.jpg
    Ferris_2.jpg
    15.6 KB · Views: 126

Thread 'Trigonometry problem of interest'

Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
View full post »
Thread 'Video on imaginary numbers and some queries'

Thread 'Video on imaginary numbers and some queries'

Hi, I was watching the following video. I found some points confusing. Could you please help me to understand the gaps? Thanks, in advance! Question 1: Around 4:22, the video says the following. So for those mathematicians, negative numbers didn't exist. You could subtract, that is find the difference between two positive quantities, but you couldn't have a negative answer or negative coefficients. Mathematicians were so averse to negative numbers that there was no single quadratic...
View full post »
Thread 'Unit Circle Double Angle Derivations'

Thread 'Unit Circle Double Angle Derivations'

Here I made a terrible mistake of assuming this to be an equilateral triangle and set 2sinx=1 => x=pi/6. Although this did derive the double angle formulas it also led into a terrible mess trying to find all the combinations of sides. I must have been tired and just assumed 6x=180 and 2sinx=1. By that time, I was so mindset that I nearly scolded a person for even saying 90-x. I wonder if this is a case of biased observation that seeks to dis credit me like Jesus of Nazareth since in reality...
View full post »

Similar threads

MHB Singapore Ferris wheel with 30 minutes of revolution time
Replies
1
Views
3K
MHB Trigonometry and periodic functions
Replies
3
Views
6K
MHB Finding revolution/minute of a wheel traveling in a speed of 15 miles/hour
Replies
2
Views
2K
How Does Weight Distribution Affect the Balance of a Ferris Wheel?
Replies
3
Views
2K
Ferris Wheel Problem using Mathematica
Replies
9
Views
2K
How much power motor I need to rotate big ferris wheel
Replies
4
Views
11K
Optimizing Ferris Wheel Height: Solving with Transformed Sine Function
Replies
1
Views
4K
How Is Angular Acceleration Calculated for a Speeding Ferris Wheel?
Replies
1
Views
2K
MHB Dylan's questions at Yahoo Answers regarding related rates
Replies
4
Views
5K
Motorized rotating platform (180 degrees, periodically)
Replies
2
Views
3K

Hot Threads

Recent Insights

Back
Top