Centripetal Force HW: Determine Tension & Speed of Chair

In summary, to determine the tension in the cable of a swing ride at a carnival, a free body diagram can be drawn with the forces in the y direction being -179*10 and 179sin30, and the forces in the x direction being 179cos30. The radius can be calculated as 15sin60. The cable acts on the chair, and its components are represented by sin and cos 30 and 60 degrees.
  • #1
Punkyc7
420
0

Homework Statement



A swing ride at a carnival consist of chairs that are swung in a circle by 15.0 meter cable that makes a 60 degree angle with a verticle pole. The mass of the chair and the occupant is 179 kg. Determine the tension in the cable. Find the speed of the chair

Homework Equations


F=(mv^2)/r F=mg


The Attempt at a Solution



So you draw a free body digram and the forces in the y are -179*10 and 179sin30 and the forces in the x is 179cos30. The radius is 15sin60. Thats about all i have.
 
Physics news on Phys.org
  • #2
What about the cable? Does not it act on the chair attached to it?

ehild
 
  • #3
the cable is the sin and cos 30
 

Related to Centripetal Force HW: Determine Tension & Speed of Chair

1. What is centripetal force?

Centripetal force is a force that acts on an object moving in a circular path, directed towards the center of the circle.

2. How is centripetal force calculated?

The formula for centripetal force is F = (mv^2)/r, where F is the force, m is the mass of the object, v is the velocity, and r is the radius of the circle.

3. How do you determine the tension in a string in a centripetal force problem?

To determine the tension in a string, you need to use the formula T = (mv^2)/r, where T is the tension, m is the mass of the object, v is the velocity, and r is the radius of the circle. This tension is the same as the centripetal force acting on the object.

4. What is the relationship between speed and centripetal force?

The centripetal force is directly proportional to the square of the speed. This means that as the speed increases, the centripetal force also increases, and vice versa.

5. How does changing the radius affect the speed and tension in a centripetal force problem?

Changing the radius affects both the speed and tension in a centripetal force problem. As the radius increases, the speed decreases, and the tension also decreases. This is because a larger radius requires a lower speed to maintain the same amount of centripetal force.

Similar threads

Work Check - Centripetal force - Finding Tension in a Rope
    • Introductory Physics Homework Help
Replies
8
Views
2K
Need help explaining this Centripetal force problem
    • Introductory Physics Homework Help
Replies
5
Views
1K
What minimum speed do we need to give a charged ball?
    • Introductory Physics Homework Help
Replies
12
Views
565
Tension and Centripetal Force in Circular Motion
    • Introductory Physics Homework Help
Replies
2
Views
2K
Tangential and centripetal force
    • Introductory Physics Homework Help
Replies
17
Views
2K
Reaction force be 0 at top of circular path swing?
    • Introductory Physics Homework Help
Replies
3
Views
1K
Need help with a centripetal force question
    • Introductory Physics Homework Help
Replies
4
Views
961
Given speed/mass find R (centripetal)
    • Introductory Physics Homework Help
Replies
1
Views
1K
Centripetal motion, the tension at the bottom of a circle
    • Introductory Physics Homework Help
Replies
7
Views
3K
Horizontal circular motion problem, what am doing wrong?
    • Introductory Physics Homework Help
Replies
26
Views
3K

Hot Threads

Recent Insights

Back
Top