Circular Motion Flashcards
2 Examples of Uniform Circular Motion
The earth orbiting the sun
A Bike wheel as the rider pedals with a constant speed
What is 1 pi radian equal to in degrees?
180 degrees
Angular Displacement Definition
The angle (in radians) turned through in some time, t
Angular Displacement Equation
s=r๐
change ๐ =distance travelled around circle/ radius circle
Angular Speed (Omega) Definition
The rate of change of angular displacement
unit: rad/s
Angular Speed (Omega) Equation
๐ = change in ฮธ / change in t
How can an object be accelerating if it is travelling at a constant speed?
Speed is a scalar, Velocity is a vector therefore has a magnitude and a direction.
The direction is constantly changing and acceleration is defined as rate of change of velocity.
Direction is changing so velocity is changing and therefore there is an acceleration.
Centripetal Acceleration Definition
Acceleration directed towards the centre of the circle.
Centripetal Force Definition
A force experienced by any object which moves in a circular motion. The force is always acting towards the centre of rotation
Equation for Centripetal force in a speed bump
Force Centripetal = (mv^2)/r
g=9.8 m/s^2
orโฆ
m x g โ Support force = m x v^2
r
Applications of circular motion to learn!
A car going over a speed bump A car on a roundabout A car banking Fair ground rides โ The Big Dipper Fair ground rides โ The Long Swing Fair ground rides โ The Big Wheel
