Angular Motion with constant angular acceleration [Lesson 09]
Definition
Linear Motion Equations [SI Units]
Angular velocity: The rate of change of angular displacement with respect to time. SI unit for angular velocity is rad/s.
Angular acceleration: The rate of change of angular velocity with respect to time. Si unit for angular acceleration is rad/s^2
Angular displacement: As the angle and the direction through which a body turns. 1 revolution = 360 degrees 2π radians. SI unit for angular displacement is rad.
Formulas for Angular
Linear Displacement: meter [m^2]
Linear Velocity: m/s
Linear Acceleration: meter [m^2]
Time: second[s]
Rotational Motion Equations [SI Units]
Angular Displacement: θ radian [rad]
Angular Velocity: w rad/s
Time: t second [s]
Angular Acceleration: a rad/s^2
θf = θf + ωft + 1/2 αt2
Formulas for Linear
v = u + a t
v2 = u2 + 2 a (s – so)
ωf2 = ωf2 + 2α(θ – θf)
ωf = ωi + α t
A motion is called uniform when the angular acceleration is constant.The three equations of rational motion with constant angular acceleration are:
s = so + u t + ½ a t2
The equations for the relationship between linear and rotational motion are:
