Lesson Plan

• Recall the two equivalent forms of centripetal acceleration (a = rω² and a = v²/r).
• Derive each form from the relationship ω = v/r.
• Apply the appropriate formula to solve numerical problems involving circular motion.
• Identify and correct common misconceptions about centripetal versus centrifugal forces.
• Communicate solutions using correct units and scientific notation.

• Projector and screen
• Whiteboard and markers
• Calculators (one per pair)
• Printed worksheet with worked example and practice questions
• Diagram of a particle in circular motion (handout)
• String and small weight for a quick demo

Begin with a short video of a roller‑coaster loop to spark curiosity about forces that keep objects on a curved path. Ask students what they already know about speed, radius, and acceleration in circular motion. Explain that by the end of the lesson they will be able to choose and use the correct centripetal‑acceleration formula and avoid common misconceptions.

1. Do‑Now (5'): Quick recall on mini‑whiteboards – write both forms of the centripetal acceleration formula.
2. Mini‑lecture (10'): Derive a = rω² and a = v²/r from ω = v/r, highlighting the link between linear and angular quantities.
3. Guided practice (12'): Walk through the car‑track example, students fill in each step on the worksheet.
4. Interactive demo (8'): Use string and weight to demonstrate centripetal acceleration; measure ω and calculate a together.
5. Independent practice (10'): Students attempt the three practice questions, then peer‑check answers.
6. Exit ticket (5'): Write one correct formula for centripetal acceleration and one common mistake to avoid.

Summarise how the two formulas are interchangeable and when each is most convenient. Collect exit tickets to gauge understanding and assign a short homework task: solve two additional circular‑motion problems, one using ω and one using v. Remind students to double‑check units and sign conventions.