Course Content
1 – Introduction to Vectors
0/17
2 – 1D Horizontal Motion
0/17
3 – Motion due to Gravity
0/10
4 – Continuous Change (Calculus)
0/13
5 – Forces and Systems
0/18
6 – Introduction to Energy and Momentum
0/8
7 – Impacts and Collisions
0/8
8 – Uniform Circular Motion
0/11
9 – Difference Equations
0/11
10 – Introduction to Graph Theory
0/8
11 – Path Optimisation
0/7
12 – MST Optimisation
0/4
13 – Project Optimisation
0/11
Digital Lessons

## Overview

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The length of time that we recommend members of each team spend on this topic are as follows:

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Alpha – 20 days

Bravo – 15 days

Charlie – 12 days

Delta – 9 days

Echo – 7 days

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## Learning Objectives

How to measure an angle in radians

How to convert an angle in degrees to an angle in radians, and vice versa

How to input radians into a calculator

What is meant by linear velocity

What is meant by angular velocity

State the relationship between linear and angular velocity

Find the angular and linear velocity of an object

Understand why objects moving in uniform circular motion are still accelerating

What is meant by centripetal acceleration

What is meant by tangential acceleration

Understand which forces change the magnitude of an object’s linear velocity

Understand which forces change the direction of an object’s linear velocity

Prove that the linear velocity vector is directed tangent to the circle

Prove that the centripetal acceleration vector is directed towards the centre of the circle

Prove that the centripetal force vector is directed towards the centre of the circle.

Derive the magnitude of the centripetal acceleration

Derive the magnitude of the centripetal force

Apply Newton’s 2nd law to objects undergoing horizontal circular motion

Apply Newton’s 2nd law and conservation of energy to objects undergoing vertical circular motion

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## Keywords

linear velocity

angular velocity

centripetal acceleration

tangential acceleration

centripetal force

tangential force

uniform circular motion

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