Momentum
The reason for the prolonged
flight of a Frisbee comes down to Angular
Momentum.
When a Frisbee is thrown, it is thrown with a
spin. This spin gives the Frisbee angular
momentum. Angular momentum(L) depends on moment
of inertia(I) and angular
velocity(w).
Angular Momentum
L = I*w
http://www.sciencebuddies.org/Files/2265/5/Aero_img016.gif
To increase angular momentum, either increase
the moment of inertia, or increase
the angular velocity. In other words, you can
either distribute the mass of the Frisbee
further toward the rim or throw the Frisbee with
faster spin.
The
moment of inertia
is given by multiple expressions for different
shaped objects, such as disks, spheres,
cylinders, hoops, slabs, and so on. If the
Frisbee had even distribution of mass its
moment of inertia would be (1/2)*mass*radius^2.
If the Frisbee more closely
resembled a hoop with its mass distributed right
at the edge, its moment of inertia
would be mass*radius^2. Obviously there is an
advantage to having the mass distributed
more closely to the rim if a Frisbee with higher
angular momentum is desired. This is
the logic behind the Aerobie Ring (pictured
below). These types of discs travel very far and
very
straight because of their high degree of angular
momentum. The angular momentum maintains their
stability
lending to more control and farther throws.
Angular velocity is a variable that is
controlled by the thrower.
If thrown with high spin (angular velocity) the
Frisbee will be more stable and a flatter,
straighter flight path with result.
Higher angular velocity is obtained through the
wrist during the throw, not the shoulder. If a
good
whip or flick is given at the end of the throw,
the disc will spin more quickly and be more
stable.
http://aerobie.com/ProductInfo/WebImages/Alones/Sprint-Yel-ForWeb350.jpg
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