OCR M4 2003 June — Question 1 4 marks

Exam BoardOCR
ModuleM4 (Mechanics 4)
Year2003
SessionJune
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). Students simply substitute given values into standard formulae ω²=ω₀²+2αθ and ω=ω₀+αt. It requires only direct recall and basic algebraic manipulation with no problem-solving insight, making it easier than average.
Spec6.05a Angular velocity: definitions

1 A propeller shaft has constant angular acceleration. It turns through 160 radians as its angular speed increases from \(15 \mathrm { rad } \mathrm { s } ^ { - 1 }\) to \(25 \mathrm { rad } \mathrm { s } ^ { - 1 }\). Find
  1. the angular acceleration of the propeller shaft,
  2. the time taken for this increase in angular speed.

1 A propeller shaft has constant angular acceleration. It turns through 160 radians as its angular speed increases from $15 \mathrm { rad } \mathrm { s } ^ { - 1 }$ to $25 \mathrm { rad } \mathrm { s } ^ { - 1 }$. Find\\
(i) the angular acceleration of the propeller shaft,\\
(ii) the time taken for this increase in angular speed.

\hfill \mbox{\textit{OCR M4 2003 Q1 [4]}}