You've taken your neighbor's young child to the carnival to ride the rides. She wants to ride The Rocket. Eight rocket-shaped cars hang by chains from the outside edge of a large steel disk. A vertical axle through the center of the ride turns the disk, causing the cars to revolve in a circle. You've just finished taking physics, so you decide to figure out the speed of the cars while you wait. You estimate that the disk is 6 m in diameter and the chains are 6 m long. The ride takes 10 s to reach full speed, then the cars swing out until the chains are 30 from vertical. Part A What is the car's speed? Express your answer with the appropriate units. μA Value Submit Request Answer Units ?
Angular Momentum
The momentum of an object is given by multiplying its mass and velocity. Momentum is a property of any object that moves with mass. The only difference between angular momentum and linear momentum is that angular momentum deals with moving or spinning objects. A moving particle's linear momentum can be thought of as a measure of its linear motion. The force is proportional to the rate of change of linear momentum. Angular momentum is always directly proportional to mass. In rotational motion, the concept of angular momentum is often used. Since it is a conserved quantity—the total angular momentum of a closed system remains constant—it is a significant quantity in physics. To understand the concept of angular momentum first we need to understand a rigid body and its movement, a position vector that is used to specify the position of particles in space. A rigid body possesses motion it may be linear or rotational. Rotational motion plays important role in angular momentum.
Moment of a Force
The idea of moments is an important concept in physics. It arises from the fact that distance often plays an important part in the interaction of, or in determining the impact of forces on bodies. Moments are often described by their order [first, second, or higher order] based on the power to which the distance has to be raised to understand the phenomenon. Of particular note are the second-order moment of mass (Moment of Inertia) and moments of force.
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![## Understanding Circular Motion: The Rocket Ride
Imagine you're at the carnival with a young child who wants to go on a thrilling ride called "The Rocket." This ride features eight rocket-shaped cars, each hanging by chains from the outer edge of a large steel disk. The disk is 6 meters (m) in diameter, and each chain is 6 m long. A vertical axle at the center of the ride enables the disk to spin, causing the cars to move in a circular path.
### Problem Description
As the ride spins, you notice that the cars swing outward until the chains form a 30-degree angle from the vertical. Your task is to determine the speed of the cars as they reach this position.
### Calculation Task
The goal is to calculate the speed of a car on the ride when the chains are 30 degrees from vertical. Use the given measurements and concepts from physics to express the car's speed in terms of velocity (v), including appropriate units.
### Instructions
Calculate the speed of the car and express your answer as:
- **v =** [Value] [Units]
Then submit your answer using the interface provided.
This scenario presents a practical application of physics principles, illustrating concepts such as centripetal force and circular motion.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffc0593f4-5cdb-4707-bbb8-300fd43d3ffb%2F81c5d42b-2cf7-4dc5-ae3f-176730894767%2F4yx7hwi_processed.png&w=3840&q=75)
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