Re: Circular motion in SR
- From: "fritzius@xxxxxxxxxxxxx" <fritzius@xxxxxxxxxxxxx>
- Date: Wed, 19 Mar 2008 14:45:28 -0700 (PDT)
On Mar 13, 11:12 am, "ram.rac...@xxxxxxxxx" <ram.rac...@xxxxxxxxx>
wrote:
I'm trying to write the equations for circular motion according to SR
laws of motion. I'm doing some kind of mistakes, because I'm not
getting real solutions to the equations.
This is what's going on: You have an body of mass m0 circling around a
stationary center point that is a distance of r from the body. There
is a force F that attracts the body towards the center point, making
it move in a circle around it. What's the velocity v of the object?
I've used these equations:
v=sqrt(a*r)
a=F/(m0*gamma^3)
gamma=1/sqrt(1-(v/c)^2)
I keep getting only imaginary solutions for v. What am I doing wrong?
Thanks, Ram.
The problem, as defined, involves trying to apply special relativity
(SR) to circular motion. Not allowed! SR is restricted unaccelerated
motions. Circular motion, by definition, involves acceleration.
Bob Fritzius
.
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