Gyroscopic torque is the force exerted by a spinning object, such as a gyroscope, that causes it to resist changes in its orientation and maintain its axis of rotation. It is also known as angular momentum or angular inertial force.
The formula for calculating gyroscopic torque is T = I * ω, where T is the torque, I is the moment of inertia, and ω is the angular velocity. Moment of inertia is a measure of an object's resistance to changes in its rotation, and angular velocity is the rate at which it is spinning.
Gyroscopic torque is used in many everyday objects, such as bicycles, motorcycles, and cars, to help with stability and balance. It is also used in navigation systems, such as gyrocompasses and inertial navigation systems, to maintain accurate orientation and direction.
Gyroscopic torque causes a spinning object to precess, which means it will rotate around a different axis than the one it is spinning on. This can be observed in objects like tops and gyroscopes, where the spinning motion causes them to maintain their balance and resist external forces.
Yes, gyroscopic torque can be negative if the direction of the angular velocity vector is opposite to the direction of the torque vector. This can happen if the object is rotating in the opposite direction to the applied force or if the object's moment of inertia is decreasing. Negative gyroscopic torque can cause objects to spin in the opposite direction or slow down their rotation.