chrishysell
* Ace Member *
all of my discs, including my putters, drivers and midranges, travel around 73mph every day.
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There's no way the total kinetic energy increased, though I would believe that some energy transfers from linear movement to rotation. My guess is that the sensor was reading the change as the disc moved from rotating around a point at the edge of the disc (where the hand grips the disc) to rotating around the center of gravity of the disc, a rotational sensor would read that change as some kind of acceleration.
Didn't read all that, but my guess would be that a disc could increase rotational acceleration after stabilizing it's center of gravity if there was wobble which is likely. That doesn't mean the disc will accelerate speed though because it's losing linear energy fighting drag forces stabilizing itself.Please read and study the graphs on page 747 of the linked study on frisbee flight and dynamics.
http://www.lpl.arizona.edu/~rlorenz/frisbee_mst.pdf
The graph labeled Frisbee Launch Acceleration indicates a positive radial acceleration for up to .4 seconds after release. How can there be radial acceleration if the fingers are no longer applying force to the disc?
Since the total kinetic energy of a moving disc is the sum of its linear kinetic energy and rotational kinetic energy, wouldn't an increase in angular velocity also increase the total kinetic energy during that brief .4 second period?
I know that the disc isn't going to accelerate 100 feet down the fairway. I am referring to a very brief moment of acceleration after the disc leaves the hand due to increasing and shifting kinetic energy.
That is an interesting thought. The shift of the disc's rotation from around the fingertips to the center of the disc would happen in a linear direction. If you hold on tight enough on release, the center of the disc would be ahead of your fingertips which means that the shift would happen in a forward direction from your hand.
Could this shift in the center of rotation have an impact on the linear velocity of the disc? Its over my head for sure. But it brings up a point that there are a lot of variables involved in the motion of the disc to dismiss the idea that it could accelerate briefly after it leaves your finger tips.
The thing is though, no matter what the total amount of energy in the system can't increase after you stop propelling your disc. I'm fully prepared to admit I don't know enough about disc flight to say exactly the relation between the rotational and linear portions of the disc flight, but that doesn't change fundamental laws of physics that say the disc is losing energy overall once it is out of your hand (barring something strange like throwing straight downhill with an 80mph tailwind).
I'm guessing it takes 0.4sec for the center of gravity to stabilize. We are throwing the edge of the disc almost as if it were a hammer. The center of gravity of the disc shifts during the throw. The leading edge the disc with the mass/cog is moving faster than the handle/hand and oscillates until it's cog stabilizes. The cog never accelerates after release.I guess that is why I am questioning your logic. The laws of physics don't mention anything about your hand. Energy is lost when there is no force being applied to the object. The rotation of the disc is a force within itself and you mentioned above that you don't know much about the relation between rotational and linear portions of the disc flight.
If you look at the graph that I mentioned, there is a huge spike of angular acceleration at the point of release. There is a lot of energy being transferred within the disc and that energy doesn't stabilize instantaneously.
I guess that is why I am questioning your logic. The laws of physics don't mention anything about your hand. Energy is lost when there is no force being applied to the object. The rotation of the disc is a force within itself and you mentioned above that you don't know much about the relation between rotational and linear portions of the disc flight.
If you look at the graph that I mentioned, there is a huge spike of angular acceleration at the point of release. There is a lot of energy being transferred within the disc and that energy doesn't stabilize instantaneously.
Please read and study the graphs on page 747 of the linked study on frisbee flight and dynamics.
http://www.lpl.arizona.edu/~rlorenz/frisbee_mst.pdf
The graph labeled Frisbee Launch Acceleration indicates a positive radial acceleration for up to .4 seconds after release. How can there be radial acceleration if the fingers are no longer applying force to the disc?
Since the total kinetic energy of a moving disc is the sum of its linear kinetic energy and rotational kinetic energy, wouldn't an increase in angular velocity also increase the total kinetic energy during that brief .4 second period?
I know that the disc isn't going to accelerate 100 feet down the fairway. I am referring to a very brief moment of acceleration after the disc leaves the hand due to increasing and shifting kinetic energy.
The throw action takes about 0.5 s during which accelerations reach around 2g, while in the last 0.1 s accelerations (which include a centripetal component that does not contribute to the release speed) reach ∼10g. Thus roughly half of the launch speed, and almost all of the rotation, is generated in the last tenth of a second before release.
Darn - I was hoping that Mocheez had finally discovered the answer to the long sought after perpetual motion machine. Science has once again gotten in the way of our hopes and dreams. Thanks for the laughs!
I wish I could find the link to the video of the guy throwing the disc all the way around the world.
I'll probably not be as good as theeterrbear or mashnut but I feel compelled to pile on with a some quick comments:
- Yes there's all kinds of forces acting on a disc after it has been released (gravity, aerodynamics, gyroscopic, wind) that cause accelerations; some negative some positive.
- These forces mainly impact the velocity vectors direction.
- With the exception of maybe extreme tail wind or gravity on extreme down hill throws none of these forces can overcome the main decelerating force of aerodynamic drag.
- So disc speed is maximum at the moment of release.
- The discussion of angular momentum and linear motion are the key to snap. Brad Walker talks about this disc pivot in his videos about creating velocity at the moment of release.
I guess all that cheese-eating increases the overall momentum-mass of Wisconsinites, so God gave them different physics to even out the playing field. :\
ENDING THE ACCELERATION DEBATE -- click me!!!
scroll down to the "Objects Thrown Horizontally" section. The example uses a frisbee even!
...as it plummets to earth in free fall in its most aerodynamic orientation...