What are the equations for circular motion on a Ferris wheel with R2D2?

In summary: Physics -> General physics.In summary, R2D2 rides on the Ferris wheel at a velocity of 2.8m/s. The net force on R2D2 is F = ma. The acceleration is a = 2.8m/s2.
  • #1
abelmoore
20
1

Homework Statement


3. Consider R2D2 (a droid) with mass 30kg riding on a Ferris wheel with diameter 25m, with a velocity of 2.8m/s.
a) Compute the free body diagram for R2D2 at the exact top, exact bottom and at both horizontal positions. Remember to include gravity. (Note: The forces act in different directions relative to the acceleration of the Ferris wheel. Where does the extra acceleration go?)
b) Give the net force and acceleration at each of these points. State any patterns that you see.
c) Give a set of equations for the general circular motion in gravity problem if we consider mass m, diameter d and velocity v.

Homework Equations


not sure of any

The Attempt at a Solution


r2d2 30kg mass ferris wheel 25m diameter velocity is 2.8 m/s
 
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  • #2
Google: "Free Body Diagram". You should be able to do at least a bit of research before posting.

abelmoore said:

Homework Equations


not sure of any
What kind of motion is involved? What equations are associated with that type of motion?
 
  • #3
gneill said:
Google: "Free Body Diagram". You should be able to do at least a bit of research before posting.What kind of motion is involved? What equations are associated with that type of motion?

is it rotary motion? https://en.wikipedia.org/wiki/Rotation_around_a_fixed_axis
 
  • #5
gneill said:
Yes, otherwise know as circular motion. Your textbook should have a section on it.

dont have a textbook
 
  • #6
abelmoore said:
dont have a textbook
Are you taking a course?
 
  • #7
gneill said:
Are you taking a course?

yeah but we have to buy it
 
  • #8
abelmoore said:
yeah but we have to buy it
Then you'll need to find other resources. The web has all kinds of introductory physics sites with course materials. Also check out the pinned thread,

Free Physics Books

In the Science and Math Text Books forum.
 
  • #10
what kind of equations are there for circular motion
 
  • #11
abelmoore said:
what kind of equations are there for circular motion
For this problem or in general?

For this problem you need to know the equation for the centripetal force and some trig to add vectors.

More generally there are equivalents for all the linear equations. For example..

Linear...
Force = mass * acceleration

Rotation..
Torque = moment of inertia * angular acceleration

All the SUVAT equations that apply to linear motion with constant acceleration have equivalents for rotation.
 
  • #12
abelmoore said:
what kind of equations are there for circular motion
Cribbing from my response to a very similar question in another of your threads,

Uh uh. We're not here to do your research for you. Do a web search on "projectile circular motion". Read some articles and maybe watch a few videos on the subject.
 
  • #13

Related to What are the equations for circular motion on a Ferris wheel with R2D2?

What is a free body diagram?

A free body diagram is a visual representation of the forces acting on an object in a given situation. It shows the object as a single point and indicates all the forces acting on it, including their direction and magnitude.

Why are free body diagrams important?

Free body diagrams are important because they help us understand the forces acting on an object and how they affect its motion. By analyzing a free body diagram, we can determine the net force acting on an object and predict its resulting motion.

How do you draw a free body diagram?

To draw a free body diagram, first identify the object that you want to analyze. Then, draw a dot to represent the object and label it with the object's name. Next, draw arrows to represent all the forces acting on the object, making sure to label each arrow with the force's name and direction. Finally, double-check that all the forces are properly labeled and point in the correct direction.

What are the types of forces included in a free body diagram?

The types of forces included in a free body diagram can vary, but some common ones include weight, normal force, frictional force, tension, and applied force. Other forces may also be included, depending on the specific situation being analyzed.

Are free body diagrams used in all areas of science?

Yes, free body diagrams are used in various fields of science, including physics, engineering, and even biology. They are a useful tool for understanding the forces involved in any given situation and can help us make predictions about the resulting motion or behavior of an object.

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