Circular Motion Problem: Solving for Revolutions with Constant Acceleration

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SUMMARY

The discussion focuses on a circular motion problem involving a car's wheels stopping after 1.0 revolution due to constant acceleration. When the initial speed is doubled, participants explore how to determine the number of revolutions before stopping. The key equations involve the relationship between linear speed, angular speed, and constant acceleration. Participants clarify that the initial speed in the problem refers to the linear speed of the car, which is directly related to the angular speed of the wheels.

PREREQUISITES
  • Understanding of circular motion principles
  • Familiarity with kinematic equations involving constant acceleration
  • Knowledge of the relationship between linear speed and angular speed
  • Basic algebra for solving equations
NEXT STEPS
  • Study the kinematic equations for circular motion
  • Learn how to convert between linear speed and angular speed
  • Explore problems involving constant acceleration in circular motion
  • Investigate the effects of varying initial speeds on rotational dynamics
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and circular motion, as well as educators looking for examples of applying kinematic equations in real-world scenarios.

mjolnir80
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Homework Statement


if you step on your car's breaks hard, the wheels stop turning after 1.0 revolution. At the same constant acceleration , how many revolutions do the wheels make before stopping if you initial speed is twice as high?

Homework Equations


The Attempt at a Solution


im having trouble deciding which equations i should use...

and also is the initial speed(referred to in the problem statement) the angular speed or the tangential speed?
thanks in advance
 
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Hi mjolnir80,

mjolnir80 said:

Homework Statement


if you step on your car's breaks hard, the wheels stop turning after 1.0 revolution. At the same constant acceleration , how many revolutions do the wheels make before stopping if you initial speed is twice as high?


Homework Equations





The Attempt at a Solution


im having trouble deciding which equations i should use...

and also is the initial speed(referred to in the problem statement) the angular speed or the tangential speed?
thanks in advance

I believe they are referring the the linear speed of the car (which is closely related to the angular speed of the wheels' rotation).

For the equations, in the problem they mention constant acceleration and initial and final speeds, and revolutions. How can those quantities be related?
 

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