Rotational Motion

Rotational Motion

1. Center of Mass

   • Σmixi/M

2. Linear Momentum

   • p = mv
   • [M1L1T-1]
   • kgm/s

3. Angular Velocity

   • ω = dθ/dt
   • the rate of change of angular displacement
   • rad/s
   • [T-1}

4. Torque

   • a force that tends to cause rotation
   • τ = r x F
   • Nm
   • [ML2T-2]

5. Angular Momentum

   • the quantity of rotation of a body, which is the product of its moment of inertia and its angular velocity
   • l = rp
   • [ML2T-1]
   • kgm2/s

6. Couple

   • a pair of equal and opposite forces with different lines of action

7. Center of Gravity

   • the point where the total gravitational torque = 0
   • Gravitational Torque
     • τ(g) = Στ(i) = Σmiri

8. Moment of Inertia

   • I = Σrixi^2