All Flashcards
What is the difference between angular velocity and angular acceleration?
Angular Velocity: Rate of change of angular displacement. | Angular Acceleration: Rate of change of angular velocity.
What is the difference between clockwise and counterclockwise direction in rotational motion?
Counterclockwise (CCW): Usually considered the positive direction. | Clockwise (CW): Usually considered the negative direction.
Compare linear and angular displacement.
Linear Displacement: Change in position along a straight line (meters). | Angular Displacement: Change in angular position (radians).
Compare linear and angular velocity.
Linear Velocity: Rate of change of linear displacement (m/s). | Angular Velocity: Rate of change of angular displacement (rad/s).
Compare linear and angular acceleration.
Linear Acceleration: Rate of change of linear velocity (m/s²). | Angular Acceleration: Rate of change of angular velocity (rad/s²).
Define inertial reference frame.
A reference frame where an object at rest stays at rest, and an object in motion stays in motion with constant velocity, unless acted upon by a net force.
Define angular displacement.
The change in angular position, measured in radians.
Define angular velocity.
The rate of change of angular displacement, measured in rad/s.
Define angular acceleration.
The rate of change of angular velocity, measured in rad/s².
Define radian.
The angle where the arc length equals the radius of the circle.
How do you convert degrees to radians?
radians = (degrees * π) / 180
How do you calculate angular displacement?
Δθ = θ_final - θ_initial
How do you calculate angular velocity?
ω = Δθ / Δt
How do you calculate angular acceleration?
α = Δω / Δt
How do you relate angular velocity to frequency?
ω = 2πf, where f is the frequency in Hz.