NTNUJAVA Virtual Physics LaboratoryEnjoy the fun of physics with simulations! Backup site http://enjoy.phy.ntnu.edu.tw/ntnujava/
August 24, 2019, 10:07:36 am

You cannot always have happiness but you can always give happiness. ..."Mother Teresa(1910-1997, Roman Catholic Missionary, 1979 Nobel Peace Prize)"

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 Author Topic: Constant speed circular motion  (Read 16651 times) 0 Members and 1 Guest are viewing this topic. Click to toggle author information(expand message area).
Fu-Kwun Hwang
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 « Embed this message on: July 27, 2008, 08:16:57 am »

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A particle is under acceleration when it's speed changed over time.
When a particle is moving around a circle with constant speed.
The velocity is changed constantly. The direction of the velocity vector is changing with time. (Velocity is a vector.)

You can click Play to start the simulation and click pause to stop it.
When the simulation is paused at time t: The RED arrow shows the velocity vector at that time.
Another vector in Magenta shows its velocity at previous time step t-dt.
(The starting point for the above two vector is different)

We also draw those two vectors again from the same starting point (which is the center of the circle).
You can find out the difference between two vectors (GREEN vector).

Click STEP button to make the time step forward and watch the differences.
I hope this applet can help you understand why acceleration is required for constant speed circular motion.

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Fu-Kwun Hwang
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 « Embed this message Reply #1 on: February 26, 2009, 11:50:45 pm »

Here is another applet about circular motion.
It was designed to illustrate relation/constraint for circular motion: a=V2/R.

Red arrow is the instance velocity $V(t)$,
arrow with color "magenta" is $V(t+dt)$
The blue arrow is $d\vec{V}=\vec{V}(t+dt)-\vec{V}(t)$ which is always pointing toward the center.
with  $d\theta=V*dt/R$ ,
so It's length $|d\vec{V}|=V d\theta=V* V*dt/R$,
so $\frac{d\vec{V}}{dt}=\frac{V^2}{R}$

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Let's work together. We can help more users understand physics conceptually and enjoy the fun of learning physics!
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crestiksa

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 « Embed this message Reply #2 on: November 01, 2009, 07:56:17 pm » posted from:Moscow,Moscow City,Russian Federation

Subject: RE: RE: Was Constant Speed - I/O 390 engine performance ?
I had the hartzel C/S that vans sells for the 200 horse engine. I would
gladly use it again or step up to the new blended airfoil one when it is
available. The MTs sure are pretty. -*-
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lookang
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http://weelookang.blogspot.com

 « Embed this message Reply #3 on: April 15, 2016, 11:19:25 pm » posted from:SINGAPORE,SINGAPORE,SINGAPORE

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You cannot always have happiness but you can always give happiness. ..."Mother Teresa(1910-1997, Roman Catholic Missionary, 1979 Nobel Peace Prize)"