OCR M4 2002 January — Question 1 4 marks

Exam BoardOCR
ModuleM4 (Mechanics 4)
Year2002
SessionJanuary
Marks4
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicCircular Motion 1
TypeAngular kinematics – constant angular acceleration/deceleration
DifficultyModerate -0.8 This is a straightforward application of constant angular acceleration equations (rotational analogues of SUVAT). Both parts require direct substitution into standard formulae with no conceptual difficulty or problem-solving insight needed—simpler than average A-level questions.
Spec6.05a Angular velocity: definitions

1 A wheel rotating about a fixed axis is slowing down with constant angular deceleration. Initially the angular speed is \(24 \mathrm { rad } \mathrm { s } ^ { - 1 }\). In the first 5 seconds the wheel turns through 96 radians.
  1. Find the angular deceleration.
  2. Find the total angle the wheel turns through before coming to rest.

1 A wheel rotating about a fixed axis is slowing down with constant angular deceleration. Initially the angular speed is $24 \mathrm { rad } \mathrm { s } ^ { - 1 }$. In the first 5 seconds the wheel turns through 96 radians.\\
(i) Find the angular deceleration.\\
(ii) Find the total angle the wheel turns through before coming to rest.

\hfill \mbox{\textit{OCR M4 2002 Q1 [4]}}