All Flashcards
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 are the differences between rotational and translational kinetic energy?
Rotational: Energy due to rotation, depends on moment of inertia and angular velocity. Translational: Energy due to linear motion, depends on mass and linear velocity.
What are the differences between scalar and vector quantities?
Scalar: Magnitude only (e.g., rotational kinetic energy). Vector: Magnitude and direction (e.g., angular velocity, angular momentum).
What are the differences between moment of inertia for a solid sphere and a hollow sphere?
Solid Sphere: (mass concentrated closer to the center). Hollow Sphere: (mass distributed further from the center).
What are the differences between rolling with slipping and rolling without slipping?
Rolling without slipping: (linear and angular velocities are related). Rolling with slipping: (linear and angular velocities are independent).
What are the differences between angular momentum and rotational kinetic energy?
Angular Momentum: Vector quantity, measures the quantity of rotation. Rotational Kinetic Energy: Scalar quantity, measures the energy of rotation.
What is the difference between Rotational and Translational Kinetic Energy?
Rotational KE: Energy from spinning | Translational KE: Energy from movement of center of mass.
Compare scalar and vector quantities.
Scalar: Magnitude only | Vector: Magnitude and direction.