Change in direction of velocity

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Discussion Overview

The discussion revolves around the concept of acceleration in relation to a change in the direction of velocity while maintaining constant speed. Participants explore how to calculate acceleration when only the direction changes, without involving circular motion.

Discussion Character

  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant questions how to calculate acceleration when changing direction without changing speed, emphasizing the need for a specific time frame.
  • Another participant asserts that acceleration is defined as the change in velocity divided by elapsed time, prompting a need for clarity on the time aspect.
  • Some participants argue that if the speed remains constant, the change in velocity should be zero, leading to a conclusion of zero acceleration, which is contested by others.
  • There is a discussion about the vector nature of velocity, with participants noting that a change in direction implies a change in velocity, even if speed remains constant.
  • One participant suggests using vector addition and the Pythagorean theorem to calculate changes in velocity, indicating a potential method for resolving the confusion.

Areas of Agreement / Disagreement

Participants exhibit disagreement regarding the relationship between direction change and acceleration. Some maintain that a change in direction necessitates acceleration, while others argue that if speed is constant, the change in velocity could be zero, leading to conflicting views on the matter.

Contextual Notes

There are unresolved assumptions regarding the definitions of velocity and acceleration, particularly in the context of direction changes without speed changes. The discussion lacks clarity on how to quantify these changes mathematically.

ahmed emad
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If I'm driving a car and I have changed my dierction of motion without changing the speed, in this case how to calculate the acceleration of the car in a particular time? I'm not talking about circular motion.
 
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Acceleration is change in velocity divided by elapsed time. How much elapsed time?
 
I don't care about this , I care about that the change in velocity will be zero always , and in this case must be accelerarion.
 
ahmed emad said:
I don't care about this , I care about that the change in velocity will be zero always , and in this case must be accelerarion.

Not true. Speed has no sign, but velocity does. If the initial velocity is +1 in some direction, then the same velocity in the other direction is -1, a change of 2.
 
ahmed emad said:
I don't care about this
If you want to calculate acceleration then you have to care about the time. It is part of the definition.
 
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I know but it's an easy part , the hard part for me to calculate the change in velocity
 
##\Delta v=v_{final}-v_{initial}##

Don't forget that ##v## is a vector
 
Ya,but but what if speed not changing only direction
 
It is still the same formula, but don't forget that v is a vector
 
  • #10
Okay , but the change in velocity will be zero and acceleration also will be zero , and that's wrong ,because if there is change in direction so it must be acceleration
 
  • #11
So should I make vectors addtion and use pythagorean theorem formula ?
 
  • #12
ahmed emad said:
Okay , but the change in velocity will be zero
No, it won't. Write it down and see. Remember v is a vector.
 
  • #13
Okay thank you very much
 

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