Ferris Wheel & Ice Cream (circular and projectile motion?)

Click For Summary
SUMMARY

The discussion revolves around a physics problem involving a Ferris wheel with radius R and a child riding it at a constant angular velocity ω. Key calculations include determining the angle θs at which the ice cream is dropped, the centripetal acceleration of the child expressed as a multiple of gravitational acceleration g, and the relative speed of the ice cream blob as it impacts the cone. The problem combines concepts of circular motion and projectile motion, requiring a clear understanding of both to solve effectively.

PREREQUISITES
  • Circular motion dynamics
  • Projectile motion principles
  • Centripetal acceleration calculations
  • Angular velocity concepts
NEXT STEPS
  • Study the equations of motion for circular motion
  • Learn how to derive centripetal acceleration in rotating systems
  • Explore projectile motion equations and their applications
  • Investigate the relationship between angular velocity and linear speed
USEFUL FOR

Students studying physics, particularly those focusing on mechanics involving circular and projectile motion, as well as educators looking for illustrative examples of these concepts in real-world scenarios.

flavoric3
Messages
1
Reaction score
0

Homework Statement


A Ferris wheel with radius R turns with a constant angular velocity \omega. A child rides the Ferris wheel with a fresh ice cream cone. When the child reaches an angular position \varthetas [see diagram below], she is so distracted that she tips the cone and drops the nice big blob of ice cream (with sprinkles!) from the top of the cone. Since her arm is hanging over the side, the ice cream falls away. Upon discovering the loss of her ice cream, she begins to cry.

But luck is with this little girl. Just as the little girl reaches the point on the circle exactly opposite to the point where she lost the ice cream, the blob of ice-cream comes sailing right back into the ice cream cone. Now, it’s true that ice cream cone was totally destroyed by the impact. But the whole experience was so weird that the little girl became convinced that she was the luckiest little girl in the whole world.

a) Find the (numerical value) of the angle \varthetas.
b) Find the centripetal acceleration of the little girl while she was on the Ferris wheel. Express your answer as a numeric multiple of g.
c) Find an expression for the relative speed between the ice cream cone and the ice cream blob as the blob hits the cone.

Homework Equations


I have no idea?

The Attempt at a Solution


I'm actually completely confused. I know this is a combination problem of circular and projectile motion, but I'm not sure how to combine them.
 
Physics news on Phys.org
Hi Flavoric3, welcome to PF!:smile:

Would you mind posting the diagram so that we can visualize the problem properly?
 

Similar threads

Will the Ice Cream Hit Your Professor's Head?
  • · Replies 6 ·
Replies
6
Views
3K
Projectile Motion on Escalators: Ice Cream Dilemma Explained
  • · Replies 2 ·
Replies
2
Views
2K
What are the equations for circular motion on a Ferris wheel with R2D2?
  • · Replies 12 ·
Replies
12
Views
2K
Ferris Wheel Problem using Mathematica
  • · Replies 9 ·
Replies
9
Views
2K
Undergrad Direction of friction of each wheel and total moment when a car turns
  • · Replies 6 ·
Replies
6
Views
3K
Calculating Mass from a Ferris Wheel Scale Reading
  • · Replies 3 ·
Replies
3
Views
19K
How Do You Calculate the Force on a Ferris Wheel Rider at a Specific Point?
  • · Replies 1 ·
Replies
1
Views
3K
Circular Motion: On a Ferris Wheel
  • · Replies 3 ·
Replies
3
Views
5K
Ferris Wheel question (Motion in 2d)
  • · Replies 8 ·
Replies
8
Views
6K
Normal Force at Highest Point of a Rotating Ferris Wheel
  • · Replies 2 ·
Replies
2
Views
16K