Since you have the amount of force on the plane, you can take that and set it equal to the force of friction.
646.49 = m* g * Cf (Coefficient of Friction, since keyboards don't have mew), divide the mass and g off and you have the coefficient of friction
From v^2/r: V = velocity = m/s we can get meters from the equation for circumference
2*pi*r so v = 2*pi*r/s, once you convert the rpm to rps you multiply the velocity by that, so you should have V= 1.11*pi*r/s
Go back to the equation plugging in our velocity you get...