Relative Velocity in a Left-Hand Turn

Click For Summary
SUMMARY

The discussion focuses on calculating the speeds of two cars, A and B, navigating a left-hand turn with radii of 100m and 96m, respectively. Car A passes car B with a relative velocity of 1 m/s and has a relative acceleration of 0.25 m/s² directed toward the center of curvature. The established speed of car A is 25 m/s, which was determined through the application of circular motion principles and relative velocity equations. The speed of car B can be derived from these calculations.

PREREQUISITES
  • Understanding of circular motion dynamics
  • Familiarity with relative velocity concepts
  • Knowledge of acceleration and its components in circular motion
  • Ability to apply kinematic equations in two dimensions
NEXT STEPS
  • Study the principles of circular motion and centripetal acceleration
  • Learn how to apply relative velocity equations in physics problems
  • Explore the effects of radius on speed in circular paths
  • Practice solving problems involving multiple objects in motion
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and circular motion, as well as educators looking for practical examples of relative velocity in action.

jaredmt
Messages
120
Reaction score
0

Homework Statement


Cars A and B are going around a left-hand turn. car B is turning with radius 96m. Car A is to the right of car B and is turning with radius 100m.
Car A is passing car B with relative velocity of 1 m/s. Knowing that the speeds of both cars are constant and that the relative acceleration of car A with respect to car B is .25 m/s^2 directed toward the center of curvature, determine (a) the speed of car A and (b) the speed of car B.


Homework Equations





The Attempt at a Solution



im not sure what to do, there's a lot of formulas in this chapter. i tried a few things but nothing worked. the answer for (a) is 25 m/s but i don't know how I am supposed to get that
 
Physics news on Phys.org
ok nevermind. i just figured it out haha
 

Similar threads

  • · Replies 22 ·
Replies
22
Views
2K
  • · Replies 20 ·
Replies
20
Views
4K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 5 ·
Replies
5
Views
3K
Replies
4
Views
3K
Replies
7
Views
2K
  • · Replies 9 ·
Replies
9
Views
5K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 9 ·
Replies
9
Views
3K