Linear ↔ Angular Kinematics

Guiding Question

As the point moves around the circle, a corresponding point moves along a straight line. How does the linear displacement compare to the angular displacement? What role does the radius play?

s = r·θ  (displacement)

v = r·ω  (velocity)

a = r·α  (acceleration)

θ — angular displacement (rad)

ω — angular velocity (rad/s)

α — angular acceleration (rad/s²)

θ: 0.00 rad

ω: 0.00 rad/s

s: 0.00 units

v: 0.00 units/s