Work through the list without notes. If you cannot do a statement, follow its link, then come back. Guide = study guide; Practice = practice questions.
Understanding
- I can explain why every point on a rigid body has the same ω and α but a different linear speed. (Guide: “One body, many paths”; Practice Q1)
- I can explain why Δs = rΔθ only works with the angle in radians. (Guide: “Arc length and the radian”)
- I can explain why pulleys or sprockets linked by a belt or chain share linear speed, not angular velocity. (Guide: “Things that share a linear speed”; Practice Q2)
- I can describe the direction of a point’s velocity on a rotating body as tangent to its circle, clockwise or counterclockwise. (Guide: Figure 1)
Skills
- I can derive v = rω and a_T = rα from Δs = rΔθ. (Guide: “Linear speed and tangential acceleration”)
- I can convert an angle turned into an arc length or a string length, and back again. (Guide: Worked example 1; Practice Q4)
- I can find a string’s or load’s speed and acceleration from a drum’s ω and α, and check the result with linear kinematics. (Guide: Worked example 1)
- I can use r₁ω₁ = r₂ω₂ for belt drives and chains. (Guide: Worked example 2; Practice Q2, Q7)
- I can calculate v, a_T, a_c and the total acceleration of a point on a rotating body. (Guide: Worked example 3; Practice Q6)
- I can sketch v–t, ω–t and v–r graphs for points at different distances from the axis. (Guide: Figure 1; Practice Q5)
Reasoning
- I can compare linear and angular quantities for two points on one body using ratios. (Guide: Worked example 3; Practice Q1, Q3)
- I can explain why a_c = ω²r is larger farther from the axis, even though a_c = v²/r has r on the bottom. (Guide: “Same ω, different v”; Practice Q3)
- I can derive a symbolic expression and use it to support or reject a claim. (Practice Q6, Q7)
All ticked? Move on to Topic 5.3, Torque, or return to the course roadmap.