Velocity of an object in uniform circular motion

In summary, the relationship between centripetal force and velocity is that the centripetal force is directly proportional to the velocity squared and inversely proportional to the radius of the object. This can be shown through the equations v = rω and F = mv^2/r. Both graphs of centripetal force and velocity would be parabolas.
  • #1
physicsman2
139
0

Homework Statement


What is the relationship between centripetal force and velocity
What is the relationshio between the radius of the object and the velocity

Homework Equations


Not really any


3. The Attempt at a Solution [/b
I believe a graph of centripetal force and velocity is a parabola but I can't find the relationship between them
I know nothing about the second problem
 
Physics news on Phys.org
  • #2
Have yourself a http://en.wikipedia.org/wiki/Circular_motion"
 
Last edited by a moderator:
  • #3
I'm sorry but it doesn't help
 
  • #4
physicsman2 said:
I'm sorry but it doesn't help

Are you sure?

Did you read this part?


Then consider a body of mass m, moving in a circle of radius r, with an angular velocity of ω.
The speed is v = r·ω.
The centripetal (inward) acceleration is a = r·ω2 = r−1·v2.
The centripetal force is F = m·a = r·m·ω2 = r−1·m·v2.
 
  • #5
So would both graphs be parabolas

Thank you for helping me
 

What is the definition of velocity in uniform circular motion?

The velocity of an object in uniform circular motion is the rate of change of its position along the circular path. It is a vector quantity that includes both magnitude (speed) and direction (tangent to the circle).

How is the direction of velocity determined in uniform circular motion?

The direction of velocity in uniform circular motion is always tangent to the circle at the point where the object is located. This means that the direction of velocity is always changing as the object moves along the circular path.

What is the relationship between velocity and speed in uniform circular motion?

In uniform circular motion, the speed of an object remains constant while the direction of velocity changes. This means that the magnitude of velocity (speed) and its direction are not directly proportional, unlike in linear motion.

What is the formula for calculating velocity in uniform circular motion?

The formula for calculating velocity in uniform circular motion is v = 2πr/T, where v is the velocity, r is the radius of the circle, and T is the time taken for one complete revolution around the circle.

How does the velocity of an object change in uniform circular motion?

Since the direction of velocity is always changing in uniform circular motion, the object's velocity is constantly changing. However, the magnitude of velocity (speed) remains constant throughout the motion.

Similar threads

  • Introductory Physics Homework Help
2
Replies
55
Views
629
  • Introductory Physics Homework Help
Replies
7
Views
2K
  • Introductory Physics Homework Help
Replies
17
Views
7K
  • Introductory Physics Homework Help
Replies
7
Views
2K
  • Introductory Physics Homework Help
Replies
11
Views
1K
  • Introductory Physics Homework Help
Replies
10
Views
2K
  • Introductory Physics Homework Help
Replies
2
Views
668
  • Introductory Physics Homework Help
Replies
31
Views
1K
  • Introductory Physics Homework Help
Replies
1
Views
1K
  • Introductory Physics Homework Help
Replies
9
Views
6K
Back
Top