Note: many of these formulas— specifically projectile motion ones— can also be found in Physics 1 Review, but in slightly different forms as those are not specifically put into angular terms.

Linear vs Angular Equations

Linear Equation ( = constant)Angular Equation ( = constant)

Frequency

  • , frequency, in Hz
  • , time, in seconds

Angular Kinematics

(Really cringey) application-based explanations at Rotational Kinematics Basics

Rotations

One rotation is equal to radians.

Angular Speed

  • , angular speed, in radians per second (OR rotations per minute)
  • , change in angle, in radians
  • , change in time, in seconds
  • , frequency, in hertz
  • , time period, in seconds

Angular Acceleration

  • , angular acceleration, in radians per second squared
  • , final angular speed, in radians per second
  • , initial angular speed, in radians per second
  • , change in time, in seconds
  • , tangential acceleration

Angular Motion

  • , final angular speed, in radians per second
  • , initial angular speed, in radians per second
  • , change in time, in seconds
  • , angular acceleration, in radians per second squared
  • , final angle, in radians
  • , initial angle, in radians

Angular Distance

  • , angular distance, in radians
  • , angular speed, in radians per second
  • , change in time, in seconds
  • , angular acceleration, in radians per second squared

Torque

Torque is equal to the distance of a force from a pivot point/fulcrum times the magnitude of the that force .

  • , torque, in Newton meters (Nm)
  • , distance, in meters
  • , force, in Newtons