12.3.3 Inertial Frames of Reference

• The term relative is used often in Physics to make it clear which point of view we are referring to
  • For example, the velocity of a car relative to someone stationary is different from the velocity measured by another car travelling alongside the initial car at the same speed

• A reference frame, or a frame of reference, refers to the position of an object, it is defined as:

A set of coordinates to record the position and time of events

• For example, you, currently sitting on your chair at your desk, is your current reference frame
  • You feel as if you are stationary, despite the fact the Earth is revolving on its axis and orbiting the Sun
• A reference frame is the point of view where an object, at a specific co-ordinate, is at rest

Examples of Reference Frames

• An everyday example is the direction of an object from your point of view in comparison to someone else
• In this example, a car is driving down a road and two people are standing on opposite sides of that road
• Despite the car moving in one direction, each person will view its direction relative to them differently
  • The person on one side of the road would say the car is moving to the right, and the person on the other side of the road would say the car is moving to the left
  • Both are correct, but they are viewing the car's motion from different points of reference

Diagram showing different points of reference for a moving car

Each person has a different frame of reference, so they interpret the direction of the car differently relative to themselves

• Another common example is of a train pulling out of a station, where Person A is on the platform and Person B is on the train
• As the train begins to move, Person A, on the platform, views Person B, on the train, moving to the right
  • Therefore, according to Person A, they, themselves, are stationary and Person B is moving to the right
• Things look a little different from Person B's perspective
• As the train begins to move (to the left from Person B's perspective), Person B, on the train, views Person A, on the platform, moving to the right  
  • Therefore, according to Person B, they, themselves, are stationary (as they cannot feel the train moving to the left) and Person A is moving to the right

Diagram demonstrating different reference frames for a train leaving a station

Person A and B are both stationary in their own reference frames and see the other as moving

• Therefore, frames of reference are used to specify the relationship between a moving and stationary object

Inertial Frames of Reference

• An inertial reference frame is

A reference frame that is non-accelerating

• Therefore, all inertial reference frames are moving at constant velocity with respect to each other
• There is no such thing as an absolute reference frame in our Universe
  • In other words, there is no place in the Universe that is completely stationary
  • Everything is always moving relative to everything else