The Gyroscopic Effect

Example Output from Numerical Integration Program, GyroTorque.txt

by N. O. Williams


 

ECHO OF INPUTS:

INPUT NO. OF INTEGRATION ELEMENTS PER RING QUADRANT - USE A HIGHER NUMBER FOR GREATER ACCURACY? 1000

INPUT TOTAL MASS OF RING IN KILOGRAMS? 1

RADIUS OF RING IN METRES? 1

INPUT SPIN SPEED OF RING IN R.P.M? 1000

INPUT TILT SPEED OF RING IN R.P.M? 1
 
 

OUTPUTS:

PHI-DIRECTION, ACCELERATIONS NORMAL TO SPIN PLANE
CALCULATED TORQUE DUE TO FORCES NORMAL TO SPIN PLANE = 13.7077555448553 Nm

RATIO OF CALCULATED NORMAL FORCES ONLY TORQUE/FORMULA TOTAL TORQUE
= 1.249997415187984

THETA-DIRECTION, ACCELERATIONS PARALLEL TO SPIN PLANE
CALCULATED TORQUE DUE TO FORCES PARALLEL TO SPIN PLANE = -2.741553235653966 Nm

RATIO OF CALCULATED PARALLEL FORCES ONLY TORQUE/FORMULA TOTAL TORQUE
= - 0.2499996769678222
 

SUMMING TORQUES DUE TO FORCES IN NORMAL & PARALLEL DIRECTIONS

SUM OF CALCULATED TORQUES = 10.96620230920139 Nm
 

FORMULA-BASED TOTAL GYROSCOPIC TORQUE = 10.96622711239277 Nm
 
 

RATIO OF TOTAL CALCULATED/FORMULA TORQUES = 0.9999977382201619