Easy -1.2 This is a straightforward application of the circular motion formula F = mω²r, requiring only algebraic rearrangement to find r. It's a single-step problem with standard values and no conceptual challenges, making it easier than average for A-level.
A particle of mass \(0.6\) kg moves in a horizontal circle with constant angular speed \(1.5\) radians per second. If the force directed towards the centre of the circle has magnitude \(0.27\) N, find the radius of the circular path. [3 marks]
A particle of mass $0.6$ kg moves in a horizontal circle with constant angular speed $1.5$ radians per second. If the force directed towards the centre of the circle has magnitude $0.27$ N, find the radius of the circular path. [3 marks]
\hfill \mbox{\textit{Edexcel M3 Q1 [3]}}