Linear speed and magnitude of linear acceleration

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SUMMARY

The discussion focuses on calculating the linear speed and magnitude of linear acceleration for a car with 64.0-cm-diameter tires traveling at 75.0 km/hr. Key calculations involve the rotational velocity of the wheels using the formula v=ωr. The problem requires determining the linear speed and acceleration for the center of the wheel, a point at the top of the tire, and a point at the bottom of the tire, both from the perspective of a passenger and an observer on the side of the road. Clarification is sought on how to approach the calculations for these different points of reference.

PREREQUISITES
  • Understanding of rotational motion and linear velocity
  • Familiarity with the formula v=ωr
  • Basic knowledge of kinematics
  • Concept of relative motion in physics
NEXT STEPS
  • Calculate linear speed for different points on a rotating wheel
  • Explore the concept of relative motion in physics
  • Learn about angular velocity and its relationship to linear velocity
  • Investigate the effects of tire diameter on vehicle dynamics
USEFUL FOR

This discussion is beneficial for physics students, automotive engineers, and anyone interested in understanding the dynamics of rotating wheels and vehicle motion.

Hambone12
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Homework Statement



A car with 64.0-cm-diameter tires is being driven down a level road at 75.0 km/hr. As seen by a person riding in the car (i.e. relative to the passenger), what are the linear speed and magnitude of the linear acceleration of a) the center of one of one of the wheels, b) a point at the top of the tire, c) a point at the bottom of the tire? For parts d), e), and f) answer the same questions for an observer standing on the side of the road.




Homework Equations



v=ωr

The Attempt at a Solution



So I found the rotational velocity of the wheels by using the previous equation. I am getting confused on ultimately where to even start the problem from, yet alone calculating the values from both observations. If anyone could offer some input on the next couple steps that would be greatly appreciated.
 
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Which one of the questions are you talking about? For (a) you don't need this formula. It's only about linear quantities. How does the center of the wheel moves relative to the car?
 

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