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What is rotational motion?
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Rotational motion is the motion of a body around a fixed axis or point.
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Define angular displacement.
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Angular displacement is the angle through which a point, line, or body is rotated in a specified direction and about a specified axis.
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What is angular velocity?
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Angular velocity is the rate of change of angular displacement with time. It is measured in radians per second.
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Explain the concept of moment of inertia.
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Moment of inertia is a measure of an object's resistance to changes in its rotation and depends on the mass distribution relative to the axis of rotation.
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What is the formula for calculating torque?
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Torque is calculated using the formula τ = r × F × sin(θ), where τ is torque, r is the lever arm, F is the force applied, and θ is the angle between the force and lever arm.
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How does centripetal force relate to rotational motion?
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Centripetal force is needed to keep an object moving in a circular path and acts perpendicular to the motion towards the center of rotation.
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What is the principle of conservation of angular momentum?
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The principle of conservation of angular momentum states that if no external torque acts on a system, the total angular momentum remains constant.
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Define angular acceleration.
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Angular acceleration is the rate of change of angular velocity over time, typically measured in radians per second squared.
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How is kinetic energy computed in rotational motion?
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Rotational kinetic energy is given by the formula KE_rotational = (1/2) I ω², where I is the moment of inertia and ω is the angular velocity.
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What role does the radius of gyration play in rotational motion?
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The radius of gyration is a measure of the distribution of an object's mass around its axis of rotation.
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Describe the role of gyroscopic effects in stabilizing motion.
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Gyroscopic effects help stabilize moving objects by utilizing angular momentum, which resists changes in orientation.
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What is precession and how does it occur?
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Precession is the slow change in the orientation of a spinning object's rotational axis due to an external force or torque.
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How does rolling motion relate to rotational motion?
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Rolling motion is a combination of translational and rotational motion, where an object rotates as it moves along a surface.
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Explain the concept of rotational equilibrium.
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Rotational equilibrium occurs when the net torque acting on an object is zero, resulting in no change in its rotational motion.
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What is the significance of the angular momentum vector?
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The angular momentum vector represents the magnitude and direction of angular momentum, calculated by L = Iω.
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