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GYROSCOPIC COUPLE

Gyroscopic Couple

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GYROSCOPIC COUPLE

everyone has used some form of gyroscope in their lifetime. But perhaps they did not recognize it. Simply put, a gyroscope consists of a rotor that is journaled to spin about an axis. Often the spinning rotor is gimbaled and allowed to move freely. One of these properties This spinning rotor has some very can even be seen in a useful physical properties. simple gyroscope toy. That is, when a rotor spins about an axis, that axis

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second important property of gyroscopes can be observed from the common Bicycle Wheel Gyro In the experiment a person sits in a experiment. pivoting office chair while holding a spinning bicycle wheel. As the person tilts the spin axis to the left a seemingly invisible force begins to pivot his/her chair to the left. This action is a result of a property called precession. This property will be

Gimbals

can be used to provide the spinning rotor with additional degrees of freedom. The gyroscope shown here has both an inner and outer gimbal, allowing the rotor to pivot about 2 different axis. This is knows as a

Aim : To determine the active & reactive gyroscopic couples & compare them Formulas: Moment of inertia of the disc = md2/8 kg-m2 Angular velocity of disc =2N/60 rad/s Angular velocity of precession = p = ( / t) x ( / 180) rad/s Reactive gyroscopic couple = Cr = I p Active gyroscopic couple Ca = W x L Where W = mg (weight added) L = distance between centers of weight to center plane of disc m = mass of disc N = speed of disc in rpm d = diameter of the disc