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Australian AMC 2008 - Senior Question 16

AMC AUSTRALIA · Australian AMC 2008 - Senior

Question 16

Two conical rollers with perpendicular axes touch on a line that is $30^\circ$ to the axis of the smaller roller and $60^\circ$ to the axis of the larger roller. If the larger roller makes 1 revolution per second and there is no slipping, how many revolutions per second does the smaller roller make?

Question illustration
  1. $\frac12$
  2. 1
  3. $\sqrt2$
  4. $\sqrt3$
  5. 2