Chapter 16 - Circular Motion

Question 1

Angular Velocity

Answer 1

The rate of change of angle

Question 2

Angular Velocity units

Answer 2

rad s^-1

Question 3

Angular Velocity Formulae

Answer 3

ω = θ/t
Angular velocity = angle in radians/time
ω = 2πf
ω = 2π/T

Question 4

Centripetal Force

Answer 4

The net force which acts perpendicular to the direction of the velocity

Question 5

Linear velocity formula in terms of angular velocity

Answer 5

v = ωr

Linear velocity = angular velocity x radius

Question 6

Centripetal Acceleration

Answer 6

The acceleration of an object moving around an object at a constant speed

Question 7

Centripetal Acceleration Formulae

Answer 7

v^2
a = ——– a = ω^2 x r
r

Question 8

Centripetal force in terms of linear velocity

Answer 8

mv^2
F = ———–
r

Question 9

Centripetal force in terms of angular velocity

Answer 9

F = mω^2r

Question 10

Banked surfaces

Answer 10

The normal contact force and friction have a component away from the centre of the turn so the vehicle can make it around

Question 11

In which direction do the centripetal force and acceleration point?

Answer 11

Towards the centre of the circular path

Question 12

Centripetal force at the poles vs the equator

Answer 12

There is no centripetal force at the poles as they are not moving but there is one at the equator based on the radius of the earth

Question 13

Centripetal force at the top or bottom of a circular motion

Answer 13

Equal to the inward force minus the outward one

Weight and tension/normal force

Question 14

Is the centripetal force an individual force?

Answer 14

No, it is a resultant force created by other forces