All Flashcards
What is the relationship between angular and linear displacement?
Angular displacement: | Linear displacement: . , where s is arc length and r is the radius.
What is the relationship between angular and linear velocity?
Angular velocity: | Linear velocity: v. , where v is linear velocity.
What is the relationship between angular and linear acceleration?
Angular acceleration: | Linear acceleration: a. , where a is linear acceleration.
How is torque similar to force?
Torque: Causes rotational acceleration. | Force: Causes linear acceleration.
How is moment of inertia similar to mass?
Moment of Inertia: Resistance to rotational motion. | Mass: Resistance to linear motion.
How do you calculate angular displacement ()?
, where s is the arc length and r is the radius.
How do you calculate angular velocity ()?
, where v is the linear velocity and r is the radius.
How do you calculate angular acceleration ()?
, where a is the linear acceleration and r is the radius.
How do you calculate torque ()?
, where r is the lever arm, F is the force, and is the angle between them.
How do you calculate moment of Inertia (I)?
, where M is mass, R is radius, and c is a shape-dependent constant.
What is angular displacement ()?
How much an object has rotated, measured in radians.
What is angular velocity ()?
The rate of change of angular displacement, measured in rad/s.
What is angular acceleration ()?
The rate of change of angular velocity, measured in rad/s².
What is torque ()?
A twisting force that causes rotation; the rotational equivalent of force, measured in N·m or J.
What is moment of inertia (I)?
Resistance to rotational motion, measured in kg·m².
What is rotational kinetic energy (Krot)?
Energy of rotation, measured in Joules (J).
What is angular momentum (L)?
Measure of rotational motion, measured in kg·m²/s.