276   INDEX

Quadrantal error, avoided, in the Simple harmonic functions, mean

Florentia gyro-compass, 252   value of products of, 33

in the Sperry gyro-compass, 212 Simple harmonic motion, of rotation,

25

R   of translation, 22

Slug, 3

Radian, 3   Sperry-Carter track recorder, 125 Repeater system, of the Anschutz Sperry's airplane horizon, 78

gyro-compass, 234   Sperry's airplane pilot, 123

of the Arma gyro-compass, 238   Sperry's gyro-compass, 198-215

of the Brown gyro-compass, 221   Sperry's roll and pitch recorder, 121

of the Florentia gyro-compass,   Sperry's ship stabilizer, 147-160

248   Spin-axis of a gyroscope and the

of the Sperry gyro-compass, 213   earth's axis, 71, 74, 172

Resonance, 36   Spinning, defined, 44

Retarding and hurrying of precession, Stability, static and kinetic, 255

69   Stabilization by gyroscopes, 255-272 Revolving a gyroscope having two Starboard of a ship, defined, 50

degrees of freedom, 82   Steamship, gyroscopic torque acting

Roll and pitch recorder, 121   on, 63

Rolling error, 191   Sun compass, 170

avoided, in the Anschutz gyro-com- Swing radius, 14

pass, 232

in the Arma gyro-compass, 247

in the Brown gyro-compass, 222   T

in the Florentia gyro-compass, Tanks, Frahm anti-roll, 42

252   Taylor's formula for ship stabiliza

in the Sperry gyro-compass, 212   tion, 153

Rolling of a ship, by waves, 131   Torpedo control, 94-100

methods of diminishing, 135   Torque, 4, 10

period of, 134   Torque and angular momentum, 17

produced by a gyroscope, 152   Torque developed by rotation of the

Rotation, simple harmonic motion of,   spin-axis, 60

25   Torque effect on a spinning body, 45,

52, 87, 90

S   Torque opposing turning of the sec

ond frame of a gyroscope, Scherl's monorail car of 1912, 271   111

Schlick's ship stabilizer, 142   Torque required to maintain con

Schilovsky's monorail car of 1915, 266   stant precession, 52

Schuler's gyro-horizon, 117   Top, rising of the spin-axis of, 76

Sextants, gyroscopic, 119, 121   Track recorder, Sperry-Carter, 125 Ship stabilizer, of the active type, 146 Turn indicator, Pioneer, 85

Sperry's, 146-160

of the inactive type, 136

Fieux, 144   V

Schlick, 142   Vertical, the true and the dynamic,

Side-wheel steamer, gyroscopic torque   12, 13

acting upon, 50   Velocity, angular, 4, 10

INDEX   277

Velocity, linear, 1, 7

W

relation between angular and linear, Wave motion, 30, 131-135

11   Weston centrifugal drier, 75

Vibrations, damping of, 39 free and forced, 36

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