21-03-2014, 11:40 AM
GYROSCOPIC EFFECT
GYROSCOPIC EFFECT.ppt (Size: 1.75 MB / Downloads: 53)
GYROSCOPE
Gyroscope is a mechanical system or arrangement having a rotor (usually heavy) spinning at high speed about its axis and being free to turn in any direction.
The rotor of gyroscope has three degrees of freedom :
1. Spinning about axis XX.
2. Tilting about axis YY.
3. Veering about axis ZZ.
GYROSCOPIC EFFECT
Whenever a body is rotating in a plane (plane YZ) about an axis (axis OX) and a couple is applied on the rotating body across the axis of rotation or spin in an another perpendicular plane (plane XY), the rotating or spinning body starts processing in a third mutually perpendicular plane (plane XZ).
The above stated effects are known as gyroscopic effects.
The two things are necessary for existence of gyroscopic effect.
1. Rotating body
2. Force or couple trying to change the orientation of axis of rotation of a rotating body.
GYROSCOPIC EFFECT ON AEROPLANES
An aeroplane taking a turn. Let the propeller or engine rotates in an anticlockwise direction when seen from the front end of the aeroplane.
Let, = angular velocity of propeller or engine, rad/s
I = mass moment of inertia of propeller and other rotating parts attached to it, about an axis of rotation, kg-m2
V = linear velocity of an aeroplane, m/s
R = radius of curvature, m
p = angular velocity of precession = , rad/s