Case study·Hard exam skill (4/5)·No calculator

Difficulty guide

The label describes the problem, not your ability.

1/5 - Foundational

Warm-up setup; checks one basic idea.

2/5 - Routine exam skill

Normal syllabus skill; usually one main rule or interpretation.

3/5 - Standard multi-step

Exam-style problem with multiple steps or a common trap.

4/5 - Hard exam skill

High-end exam problem; combines methods carefully.

5/5 - Challenge

Stretch problem beyond normal exam pressure.

Question

A rotor initially at rest is acted on by a constant torque for 4 s4\text{ s}, then the torque is removed and it continues with constant angular speed for the next 3 s3\text{ s}. During the first part its angular acceleration is 5 rad s25\text{ rad s}^{-2}.
Total: 4 marks

(a) Find the angular speed at t=4 st=4\text{ s}. (1 mark)

(b) Find the angular displacement in the first 4 s4\text{ s}. (1 mark)

(c) Find the angular displacement in the next 3 s3\text{ s}. (1 mark)

(d) Find the average angular speed over the full 7 s7\text{ s}. (1 mark)

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cbse-physics-11.u5.t5-4.case.010

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