| Exam Board | OCR |
|---|---|
| Module | M4 (Mechanics 4) |
| Year | 2007 |
| Session | June |
| Marks | 4 |
| 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 θ = ½αt² directly with given values, and part (ii) uses ω² = ω₀² + 2αθ. Both parts require only direct substitution into standard formulae with no problem-solving insight or multi-step reasoning required. |
| Spec | 6.05a Angular velocity: definitions |
1 The driveshaft of an electric motor begins to rotate from rest and has constant angular acceleration. In the first 8 seconds it turns through 56 radians.\\
(i) Find the angular acceleration.\\
(ii) Find the angle through which the driveshaft turns while its angular speed increases from $20 \mathrm { rad } \mathrm { s } ^ { - 1 }$ to $36 \mathrm { rad } \mathrm { s } ^ { - 1 }$.
\hfill \mbox{\textit{OCR M4 2007 Q1 [4]}}