Lesson Notes By Weeks and Term v4 - SHS 2
Robot Construction
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Robot Construction
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Subject: Robotics
Class: SHS 2
Term: 2nd Term
Week: 10
Grade code: 2.3.2.LI.2
Strand code: 3
Sub-strand code: 2
Content standard code: 2.3.2.CS.1
Indicator code: 2.3.2.LI.2
Theme: Robot Construction and Programming
Subtheme: Robot Construction
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This lesson introduces the fundamental principles of motion—velocity, acceleration, and trajectory—and how they are mathematically described by the equations of motion. Understanding these concepts is not just about physics; it is the foundation for making any robot move purposefully. Whether we are building a simple line-following robot, a delivery drone for our community, or a robotic arm for a factory, we must be able to predict and control its path. In Ghana, where technology like delivery drones (e.g., for medical supplies) is becoming more common, understanding the science behind their navigation is crucial for our young innovators.
This section covers the core knowledge needed to understand how robots move. We will start with motion in a straight line (linear motion) and then move to rotational motion (angular motion). Part 1: Understanding Basic Motion Concepts
Before we can calculate, we must understand the language of motion. Position (s): Where an object is located. It's a vector, meaning it has both a distance and a direction from a reference point (the "origin"). Displacement (Δs): The change in an object's position. It's the straight-line distance and direction from the start point to the end point. *It is not the same as distance travelled!* If you walk 5 metres east and then 5 metres west, you have travelled a distance of 10 metres, but your displacement is 0 metres. Velocity (v): How fast an object's position is changing. It is a vector quantity, meaning it has both speed and direction. Formula: Velocity = Displacement / Time Units: metres per second (m/s) Acceleration (a): How fast an object's velocity is changing. An object is accelerating if it is speeding up, slowing down, or changing direction. It is also a vector. Formula: Acceleration = Change in Velocity / Time Units: metres per second squared (m/s²) Part 2: Trajectory, Velocity, and Acceleration Trajectory: This is simply the path an object follows through space. It can be a straight line or a curve. Think of the path of a football kicked into the air or a stone thrown into a river. Key Relationship (Talk for Learning 1): Imagine a robot moving along a curved path like the one below. Velocity at any point is always tangent to the path. A tangent is a straight line that "just touches" the curve at that point. It shows the direction the robot would go if its acceleration suddenly became zero. Acceleration is more complex. It has two parts: one part changes the robot's speed (tangential acceleration), and the other part changes its direction (centripetal acceleration), pulling it towards the center of the curve. The overall acceleration vector generally points "inside" the curve.
*In the diagram, notice `v` is always tangent to the path, while `a` points inward, changing the direction of `v`.* Part 3: The Equations of Motion (Linear)
For an object moving with constant acceleration in a straight line, we can use a set of powerful formulas called the "equations of motion". These are essential for programming robot movements.