Assuming zero friction, all three flywheels will continue to rotate forever, in accordance with the law of conservation of angular momentum.
But when equal amount of friction is assumed to act on all three flywheels, then the flywheel with maximum rotational kinetic energy will rotate longer...
The equation, (-1)^x=cos(pi*x)+i*sin(pi*x) is derived from Euler's identity based on the assumption that 'x' is an integer. Hence substituting fractional value for 'x' in the equation will lead to erroneous results. The derivation is as follows,
e^(i*y)=cos(y)+i*sin(y).....(Original Euler's...