Recent content by Somsak

However, the observers in the different frames can detect one same thing in the different results. In a non-inertial frame, the observer can detect "time varying" and acceleration of the ball in the radial direction. He can calculate this acceleration from "time varying". Another observer in an...

I think it's quite interesting how the force in the radial direction, centrifugal force, came from. Thereforce, I try to proof that actually no centrifugal force, but the acceleration is due to time varying along r.

Please show your work. Thank you.

Sorry that I have a little bit English confusion. Now I've changed from "centripetal force" to "centrifugal force".

May I explain more by this example... A ball is in a slot on a disk. This slot is in the radial direction of the disk. When we spin the disk, the ball will be accelerated by centrifugal force. I think actually there is no centrifugal force, but this acceleration is due to time varying along r.

I try to proof that this accelerate due to time varying along r. No centrifugal force.

From special relativity, we know that t=t0/(1-v2/c2)1/2 For the object moves as a circle with radius r, the velocity v = w r Therefore, time varying along radius r as t=t0/(1-w2 r2/c2)1/2 In this case ds2= dr2- c2 dt2 = dr2- c2 dt02 /(1-w2 r2/c2) Since object will move in shortest path in...