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next I want to explore with you the effects of sizing the platform what does it mean to have a larger platform well clearly it becomes bigger and becomes heavier and therefore the thrust-to-weight ratio changes where does it mean to have a smaller platform well the thrust-to-weight ratio might get better or does it so there are a few things you might consider first the mass the inertia of the platform the maximum amount of thrust it can exert and the maximum moment it can generate lets look at the characteristic length L which is roughly half the diameter of the vehicle if you look at the mass of the vehicle it scales as the cube of the characteristic length and the moments of inertia are go as the 5th power of the characteristic length very simply mass Gayles is volume and volume goes as L cubed moments of inertia ago as mass times length squared and therefore it scales as L to the 5th if you look at the total thrust applied by the rotors this scales as the area spanned by a single