For fluid flow in pipes, friction is described by a dimensionless number, the Fanning friction factor f. The Fanning friction factor is dependent on a number of parameters related to the size of the pipe and the fluid, which can all be represented by another dimensionless quantity, the Reynolds number Re. A formula that predicts f given Re is the von Karman equation: 0g10 (Re Typical values for the Reynolds number for turbulent flow are 10,000 to 500,000, and for the Fanning friction factor are 0.001 to 0.01. What is the maximum number of iterations you would need to solve for f using the bisection method for a maximum absolute error of 0.00005 and given that Re varies between 2,000 and 800,000