Uniform Circular Motion

Question 1

Uniform Circular Motion (UCM)

Answer 1

An object which moves in circular path with constant speed. Even though Speed is constant but velocity changes due to direction

Question 2

Angular Displacement (θ)

Answer 2

Angle covered at the center of the circle by the object.

Question 3

Angular Displacement measured in

Answer 3

Radians
1 full circle=2pie radians

Question 4

Angular Velocity (ω)

Answer 4

Rate at which angular displacement changes.

Question 5

Angular Velocity (ω) formula-

Answer 5

ω = θ / t (θ in radians, t in seconds)

Question 6

Linear & Angular Velocity Relation

Answer 6

v = rω
-v = Linear speed (m/s)
-r = Radius
-ω = Angular velocity

Question 7

Centripetal Acceleration (aₐ)

Answer 7

Acceleration that keeps an object in circular motion.

Question 8

Centripetal Acceleration (aₐ) formula

Answer 8

aₐ = v² / r = rω²

Question 9

Centripetal Force (Fₐ)

Answer 9

Force that acts toward the center to keep the object moving in a circle.

Question 9

Centripetal Force (Fₐ)
formula

Answer 9

Fₐ = mv² / r = mrω²