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: 123

Thread 'Non-orthogonal bases'

Suppose ,instead of the usual x,y coordinate system with an I basis vector along the x -axis and a corresponding j basis vector along the y-axis we instead have a different pair of basis vectors ,call them e and f along their respective axes. I have seen that this is an important subject in maths My question is what physical applications does such a model apply to? I am asking here because I have devoted quite a lot of time in the past to understanding convectors and the dual...
View full post »

Thread 'Fermat's Last Theorem'

Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
View full post »

Thread 'What Exactly is Dirac’s Delta Function? - Insight'

Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
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