Question about Acceleration and rounding curves

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    Acceleration Curves
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Discussion Overview

The discussion revolves around the concept of acceleration required to maintain a constant speed while rounding curves, particularly in the context of vehicle motion. Participants explore the relationship between acceleration and directional change, addressing both theoretical and practical implications.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • Some participants assert that acceleration is necessary to maintain a constant speed when rounding a curve, as it allows for a change in direction.
  • One participant emphasizes the need to increase velocity in the transverse direction to facilitate turning, defining this increase as acceleration.
  • Another participant questions the definition of "constant speed," suggesting that it may refer to the speedometer reading of a vehicle.
  • It is noted that without sideways acceleration, a vehicle would continue moving straight, indicating the necessity of acceleration for curving.
  • One participant explains that to maintain total velocity while gaining lateral velocity, deceleration in the forward direction is also involved, highlighting the complexity of acceleration during turning maneuvers.

Areas of Agreement / Disagreement

Participants generally agree that some form of acceleration is required to round a curve at constant speed, but there are varying interpretations of what "constant speed" entails and how acceleration is applied in this context. The discussion includes multiple perspectives on the nature of acceleration and its role in directional change.

Contextual Notes

Some assumptions about the definitions of speed and acceleration are not fully clarified, and the discussion does not resolve the nuances of how these concepts interact during vehicle motion.

Justincase_
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So I've just been a bit confused over the concept of rounding curves and accelerating. Obviously its commonly understood that you need an acceleration to maintain a constant speed when rounding a curve, such as turning a vehicle right, left, or making a u turn.

Can anyone help explain why there needs to be some sort of acceleration to round a curve at a constant speed? You can't really round a curve at all with zero acceleration either.
 
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To turn a corner you need to increase your velocity in the transverse direction, that is, the direction at a 90 degree angle to the direction you're currently travelling. If you're traveling in a straight line, this velocity is by definition zero. Increasing it is an acceleration.
 
Could you be a little more well defined by what you mean when you say "constant speed". For example do you mean the reading on a speedometer of a vehicle?

A simple answer (which is probably not the one you want) is that acceleration is a vector so if a vehicle changes direction, it must be under some form of acceleration.
 
If you don't accelerate sideways, you will just keep moving forward - no curve.
 
If you're going in a straight line, you have zero velocity to the right or left and all your velocity in the "straight ahead" direction. If you want to curve, you need to gain some velocity to the right or left. To gain velocity, you have to accelerate.

Now, if you want your total velocity to remain the same, you need to take away some of your "straight ahead" velocity when you add some "right or left" velocity. This would involve deceleration.

So there is a lot of acceleration involved!
 

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