Chapter 16: Circular Motion

Question 1

What is the equation(s) for Angular Velocity?

Answer 1

The equations for Angular Velocity is:
w = Θ / t
w = 2π / t
w = 2πf

Question 2

What is the direction of Centripetal Force acting towards?

Answer 2

Centripetal Force always acts perpendicular to the velocity and towards the centre of the circular path.
This means that Centripetal Force has no effect on the speed of the object.

Question 3

What is the equation for linear velocity that links the circumference / radius of the circle, and time?

Answer 3

The equation that links angular velocity with the circumference / radius and time is:
v = 2πf / t (from Speed = Distance / Time)
OR
v = rw (where ‘w’ is equal to 2π / t)

Question 4

What is the equation for centripetal acceleration?

Answer 4

The equation for Centripetal Acceleration is:
a = v^2 / r
OR
a = w^2 r (Substituting v = rw)

Question 5

What is the definition of Centripetal Acceleration?

Answer 5

Centripetal Acceleration is defined as the acceleration of an object moving in a circular motion.

Question 6

What is the equation for Centripetal Force?

Answer 6

The equation for Centripetal Force is:
F = mv^2 / r (from F=ma where a = v^2 / r)
OR
F = mw^2 r