| Exam Board | OCR |
|---|---|
| Module | M4 (Mechanics 4) |
| Year | 2004 |
| Session | January |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Circular Motion 1 |
| Type | Angular kinematics – constant angular acceleration/deceleration |
| Difficulty | Moderate -0.8 This is a straightforward application of constant angular acceleration equations (rotational analogues of SUVAT). Part (i) uses ω² = ω₀² + 2αθ directly, and part (ii) requires finding when the wheel stops then working backwards one revolution. Both parts are routine calculations with no conceptual challenges beyond recognizing the parallel with linear kinematics. |
| Spec | 6.05a Angular velocity: definitions |
1 A wheel is rotating about a fixed axis, and is slowing down with constant angular deceleration $0.3 \mathrm { rad } \mathrm { s } ^ { - 2 }$.\\
(i) Find the angle the wheel turns through as its angular speed changes from $8 \mathrm { rad } \mathrm { s } ^ { - 1 }$ to $5 \mathrm { rad } \mathrm { s } ^ { - 1 }$.\\
(ii) Find the time taken for the wheel to make its final complete revolution before coming to rest.
\hfill \mbox{\textit{OCR M4 2004 Q1 [5]}}