All Flashcards
What happens when a torque is applied to a rotating object?
The rotational kinetic energy of the object changes (Work-Energy Theorem).
What is the effect of increasing the angular velocity of an object?
The rotational kinetic energy increases (quadratically).
What happens if a rolling object's initial potential energy is converted into both translational and rotational kinetic energy?
The object's linear speed at the bottom of the incline will be less than if all potential energy was converted to translational kinetic energy.
What is the effect of increasing the moment of inertia of a rotating object?
The rotational kinetic energy increases, assuming angular velocity remains constant.
What happens when non-conservative forces (e.g., friction) are present in a rotational system?
Total mechanical energy (including rotational kinetic energy) is not conserved.
What is the effect of increasing angular velocity on rotational kinetic energy?
Rotational kinetic energy increases (quadratically).
What happens when a figure skater pulls their arms closer to their body?
Their rotational speed increases due to conservation of angular momentum.
What happens when a rotating object's rotational inertia increases?
Its rotational kinetic energy decreases (if angular velocity remains constant).
What is the effect of applying a constant horizontal force to the center of a cylinder?
The cylinder experiences linear and angular acceleration.
What happens when a solid and hollow sphere are released at the top of an incline?
The solid sphere reaches the bottom first.
What is Rotational Kinetic Energy?
The energy an object possesses due to its rotation.
Define Rotational Inertia (I).
How resistant an object is to changes in its rotation.
Define Angular Velocity (ω).
How fast the object is rotating, measured in radians per second.
What is Translational Kinetic Energy?
The kinetic energy an object possesses due to its linear motion.
What is the Work-Energy Theorem?
Rotational kinetic energy changes when work is done by a torque.