Question

If a 75 kg person pedals a monarch leg ergometer at 50 rpm, how much resistance is needed to work at a level of 11 mets?

Answer 1

The required work level is L= 11 MET . And by definition
   
And so, the required work level is
   
Now the frequency of rotation of the ergometer is, f = 50 rev/min. And let us assume that the circumference of the monarch wheel is
  2\pi R = 6 m/rev . And so, the speed of the wheel at the circumference is

changing the unit from min to sec, we get
   
And so, if we assume that the required resistance is m kg, then, in the resistive force is F = mg, where, g = 9.8 m/sec^2. And so, the power output against this resistance is
  
And to match the work level, L, we reuire P = LM,where M is the mass of the person. and so,
   
  
And so, putting the values, L = 12.782 W/kg, M = 75 kg, v = 5 m/sec, g = 9.8 m/sec^2, we get