I NEED HELP Rotational and Momentum problem

In summary, the conversation involves two problems: the first one is about finding the angular acceleration of a car's tires as it reduces its speed, and the second one is about finding the mass of a second ball involved in an elastic collision with a first ball. The conversation also mentions using relevant equations to solve the problems.
  • #1
skyhigh302
5
0

Homework Statement


I have two problems...

1. The tires of a car make 65 revolutions as the car reduces its speed uniformly from 10.8 m/s to 4.25 m/s. The tires have a diameter of 0.80 m. What was the angular acceleration of the tires in rad/s2?

2. A 0.301-kg croquet ball makes an elastic head-on collision with a second ball initially at rest. The second ball moves off with half the original speed of the first ball. What is the mass of the second ball?


Homework Equations





The Attempt at a Solution



Basically, I don't know where to start at. For both problems, I've tried everything and it won't work. SOME PLEEEEEEEEEAAAASE HELP!
 
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  • #2
Well, what exactly is this 'everything' you've tried for both problems? Among this 'everything' there should be some relevant equations, right? :wink:
 
  • #3
well for number 1, I tried finding the velocity but I couldn't. If I can find the velocity, I can find everything else.

For number 2, I figured you would use the m1v1=m2v2 equation but that doesn't work.
 
  • #4
Hint for 1:

Write down the expression for the acceleration (uniform!) of the car, and the expression for the angular displacement of the tire. The third expression you need is the connection between linear and angular acceleration.
 
  • #5
ooo ok thanks you so much!
 

1. What is rotational motion?

Rotational motion is the movement of an object around an axis or center point. This type of motion can be seen in objects such as wheels, planets, and spinning tops.

2. What is momentum in physics?

Momentum is a measure of the quantity of motion an object has. It is a vector quantity, meaning it has both magnitude and direction. The momentum of an object can be calculated by multiplying its mass by its velocity.

3. How do I solve a rotational and momentum problem?

To solve a rotational and momentum problem, you will need to use the laws of physics, specifically Newton's laws and the principles of conservation of angular momentum and energy. It is important to identify the given information, set up the appropriate equations, and solve for the unknown variables.

4. What are some real-life examples of rotational and momentum problems?

Some real-life examples of rotational and momentum problems include a figure skater performing a spin, a car making a turn, and a planet orbiting around the sun. These situations involve both rotational and linear motion, and the principles of momentum and conservation of energy apply.

5. Why is understanding rotational and momentum important in science?

Understanding rotational and momentum is important in science because it helps us explain and predict the behavior of objects in motion. It is also essential in fields such as engineering, where the design and function of machines and structures rely on the principles of rotational and momentum. Additionally, understanding these concepts helps us understand natural phenomena, such as the movement of celestial bodies in space.

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