Can a Particle Accelerate Without Changing Speed? | Quick Physics Question

In summary, the conversation discusses whether or not a particle can accelerate without changing its speed. The conclusion is that this is not possible, as acceleration depends on the velocity vector. An example of this is uniform circular motion, where an object is constantly changing direction but not speed. Additionally, the conversation clarifies that it is not possible to go around a circular track at constant velocity, as this would require infinite acceleration.
  • #1
sun.shine_willy
4
0

Homework Statement



It is possible for a particle to accelerate without changing its speed.

True or False?


Homework Equations



I don't think there is any except average acceleration equation


The Attempt at a Solution



I am thinking False because Acceleration depends on velocity vector
 
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  • #2
Think of uniform circular motion
 
  • #3
lol i am lost, wats uniform circular motion?
 
  • #4
An example...

A car going around a circular track at the same velocity.
 
  • #5
oh i get it, so if the car goes in a circle, it accelerates but it doesn't actually increase its speed right?
 
  • #6
Yes that's right, because the car's direction is always at a tangent to the circle, hence it accelerates at a tangent, but due to the centripetal force, it stays in a circular motion
 
  • #7
thankyou

JFonseka
 
  • #8
No problem
 
  • #9
JFonseka said:
An example...

A car going around a circular track at the same velocity.
Just to clear up any possible misinterpretation, I believe Fonseka meant to write: A car going around a circular track at the same speed.

It is not possible to go around a circular track at constant velocity.
 
  • #10
Gokul43201 said:
Just to clear up any possible misinterpretation, I believe Fonseka meant to write: A car going around a circular track at the same speed.

It is not possible to go around a circular track at constant velocity.


Yep, can't believe I said velocity there :O 100 push ups
 
  • #11
JFonseka said:
100 push ups
lol, it would be hilarious if a teacher did that infront of a classroom for saying the wrong thing
 

What is the formula for calculating velocity?

The formula for calculating velocity is: velocity = distance/time.

How do I calculate acceleration?

Acceleration can be calculated by using the formula: acceleration = (final velocity - initial velocity)/time.

What is the difference between mass and weight?

Mass refers to the amount of matter in an object, while weight is the measure of the force of gravity acting on an object.

What is the difference between speed and velocity?

Speed is a measure of how fast an object is moving, while velocity is a measure of both speed and direction.

How do I convert between different units of measurement in physics?

To convert between units of measurement, use conversion factors or dimensional analysis. For example, to convert from meters to centimeters, multiply the value in meters by 100.

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