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Angular speed and circular motionAQA A-Level Further Maths: Mind map

Constant speed
Angular speed

Circular motion

constant speed

ωv = rωa = rω²
Speed
Acceleration
Problems

Exam questions on Angular speed and circular motion

  1. A particle moves in a horizontal circle of radius 0.6 m with a constant speed of 3 m s−13\text{ m s}^{-1}.
    Find the number of revolutions the particle makes per minute.2 marks
  2. A fairground ride rotates at a constant 12 revolutions per minute. A rider sits at a distance of 4.5 m from the axis of rotation.
    Find the magnitude and direction of the acceleration of the rider.2 marks
  3. A car of mass 900 kg travels at a constant speed of 15 m s−115\text{ m s}^{-1} around a circular bend of radius 50 m.
    Find the acceleration of the car and the magnitude of the resultant horizontal force acting on it.3 marks
See the full worksheet

Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).