OCR M4 2008 June — Question 2 6 marks

Exam BoardOCR
ModuleM4 (Mechanics 4)
Year2008
SessionJune
Marks6
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). All three parts involve direct substitution into standard formulae with no conceptual challenges or problem-solving required—purely mechanical calculation once the correct equation is identified.
Spec6.05a Angular velocity: definitions

2 A rotating turntable is slowing down with constant angular deceleration. It makes 16 revolutions as its angular speed decreases from \(8 \mathrm { rad } \mathrm { s } ^ { - 1 }\) to rest.
  1. Find the angular deceleration of the turntable.
  2. Find the angular speed of the turntable at the start of its last complete revolution before coming to rest.
  3. Find the time taken for the turntable to make its last complete revolution before coming to rest.

2 A rotating turntable is slowing down with constant angular deceleration. It makes 16 revolutions as its angular speed decreases from $8 \mathrm { rad } \mathrm { s } ^ { - 1 }$ to rest.\\
(i) Find the angular deceleration of the turntable.\\
(ii) Find the angular speed of the turntable at the start of its last complete revolution before coming to rest.\\
(iii) Find the time taken for the turntable to make its last complete revolution before coming to rest.

\hfill \mbox{\textit{OCR M4 2008 Q2 [6]}}