Gyro.pptx

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A gyroscope is a device for measuring or maintaining orientation, based on the principles of conservation of angular momentum. In essence, a mechanical gyroscope is a spinning wheel or disk whose axle is free to take any orientation. Gyroscopes are installed in ships in order to minimize the rolling and pitching effects of waves. They are also used in aero planes, monorail cars, gyrocompasses etc.

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About Gyro

Transcript of Gyro.pptx

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A gyroscope is a device for measuring or maintaining orientation, based on the principles of conservation of angular momentum.

In essence, a mechanical gyroscope is a spinning wheel or disk whose axle is free to take any orientation.

Gyroscopes are installed in ships in order to minimize the rolling and pitching effects of waves. They are also used in aero planes, monorail cars, gyrocompasses etc.

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Gyroscope is a mechanism comprising a rotor journeyed to spin about one axis, the journals of the rotor being mounted in an inner gimbal or ring; the inner gimbal is journeyed for oscillation in an outer gimbal for a total of two gimbals.

The outer gimbal or ring, which is the gyroscope frame, is mounted so as to pivot about an axis in its own plane determined by the support.

Outer gimbal possesses one degree of rotational freedom and its axis possesses none.

The inner gimbal is mounted in the gyroscope frame so as to pivot about an axis in its own plane that is always perpendicular to the pivotal axis of the gyroscope frame (outer gimbal). This inner gimbal has two degrees of rotational freedom

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Applications of gyroscopes include navigation for the stabilization of flying vehicles like radio-controlled helicopters.

Due to their high precision, gyroscopes are also used to maintain direction in tunnel mining.

Gyroscopes are also used in Air & Land Vehicles, Ships, Hovercrafts etc.

Vastly used in UAV’s (Unmanned Aerial Vehicle) commonly named as DRONES

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The angular velocity of the axis of spin (i.e.dθ/dt) is known as angular velocity of

precession and is denoted by ωP

The axis, about which the axis of spin is to turn, is known as axis of precession.

The angular motion of the axis of spin about the axis of precession is known as processional angular motion

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The Cause of Precession:- Newton’s 1 st Law of Motion. -Law of Conservation of Angular Momentum.

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The Cause of Precession:- Newton’s 1 st Law of Motion. -Law of Conservation of Angular Momentum.

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Consider a disc spinning with an angular velocity ωrad/s about the axis of spin OX, in anticlockwise direction when seen from the front

Since the plane in which the disc is rotating is parallel to the plane Y OZ, therefore it is called plane of spinning.

The horizontal plane XOZ is called plane of precession and OY is the axis of precession

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Since the angular momentum is a vector quantity, therefore it may be represented by the vector ox. The axis of spin OX is also rotating anticlockwise when seen from the top about the axis OY.

Let the axis OX is turned in the plane XOZ through a small angle

δθ radians to the position OX ′ , in time seconds. Assuming the angular city ω to be constant, the angular momentum will now be represented by vector ox′.

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