Describing Rotational Motion (8.1)

Displacement

Linear (X)

Angular (Θ)

  • Its the product of the radius and angular displacement.

X = r x Θ

  • It represents the change in the angle of revolution.

Θ = x / r

OR

Θ = ω · t

Acceleration

Linear (a)

Angular (α)

Instantaneous

  • The product of radius and angular acceleration.

a = r · α

  • The change in angular velocity over time.
  • Measured in rad/s²

α = ω / t

α = a / r

OR

  • It is the slope of the graph

Velocity

Linear (v)

Angular (ω)

Instantaneous

  • The product of radius and angular velocity.

V = r · ω

  • The change in the angular displacement overtime.
  • Measured in rad/s

ω = Θ / t

ω = v / r

OR

  • It is the slope of the graph.

Frequency

  • Angular frequency is the number of complete oscillations in one second

f = 1 / T

f = ω / 2𝝅

OR

Reema Alahmari 10/c