Circular Motion (high school level)

For the centripetal acceleration, you can use the formula a = v^2/r, using the velocity you just found and the given radius.The acceleration is produced by the centripetal force, which is the inward force that keeps objects moving in a circular path. This force is provided by the structure and mechanics of the ride.
  • #1
SigFig
8
0

Homework Statement


The carnival ride shown in Figure 7-18 has a 2.0 m radius and rotates once each .90 s

a. Find the speed of the rider.
b. Find the centripetal acceleration of the rider.
c. What produces this acceleration?
SOLUTIONS PROVIDED:
a. 141
b. 98
c. --Explain--

Homework Equations



ac=v^2/r
T=1/f
Fc=m(4pi^2r/T^2)

The Attempt at a Solution


I apologize for not using script, I was having a bit of difficulty. However, this is what I got.
.90=v^2/2
√v
=1.34
Completely wrong, please help.
 
Physics news on Phys.org
  • #2
You didn't really provide a diagram, so I am assuming it is one of those rotating cylinder things.

For the speed of the rider, it tells you that the ride rotates ever 0.9s,, can you figure out the angular velocity from this? Given that you found that and have the radius, how do you get the velocity v from these two quantities?
 

Related to Circular Motion (high school level)

1. What is circular motion?

Circular motion is the movement of an object along a circular path. It occurs when an object moves around a fixed point, called the center, at a constant speed.

2. What are the two types of circular motion?

The two types of circular motion are uniform circular motion and non-uniform circular motion. In uniform circular motion, the speed of the object remains constant, while in non-uniform circular motion, the speed changes at different points along the circular path.

3. What is the centripetal force in circular motion?

The centripetal force is the force that acts towards the center of the circular path, keeping an object in circular motion. It is responsible for constantly changing the direction of the object's velocity, but not its speed.

4. How is the centripetal force calculated?

The centripetal force can be calculated using the formula Fc = mv²/r, where Fc is the centripetal force, m is the mass of the object, v is its velocity, and r is the radius of the circular path.

5. What is the relationship between centripetal force and centripetal acceleration?

The centripetal force and centripetal acceleration are directly proportional to each other. This means that as the centripetal force increases, so does the centripetal acceleration, and vice versa. The formula for centripetal acceleration is ac = v²/r, where ac is the centripetal acceleration, v is the velocity, and r is the radius of the circular path.

Similar threads

Circular Motion Questions (energies, forces, angular velocities, etc.)
    • Introductory Physics Homework Help
Replies
2
Views
690
Find the acceleration in circular motion
    • Introductory Physics Homework Help
Replies
6
Views
982
Bead sliding on a Vertical Circular Loop versus in Free Fall
    • Introductory Physics Homework Help
Replies
14
Views
1K
In the circular motion below, what will be the velocity?
    • Introductory Physics Homework Help
Replies
14
Views
2K
Circular motion/ speed increases at a constant rate
    • Introductory Physics Homework Help
Replies
7
Views
2K
Circular Motion With Constant Angular Acceleration
    • Introductory Physics Homework Help
Replies
3
Views
2K
Circular motion grade 12 physics
    • Introductory Physics Homework Help
Replies
4
Views
1K
Circular motion — the acceleration is not constant?
    • Introductory Physics Homework Help
Replies
1
Views
1K
Circular Motion of a Cyclist and a Car going around a bend in the road
    • Introductory Physics Homework Help
Replies
6
Views
2K
Circular motion of a mass on a string on an inclined plane
    • Introductory Physics Homework Help
Replies
14
Views
2K

Hot Threads

Recent Insights

Back
Top