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Classical Mechanics Level 5

A motorcyclist wishes to travel in a circle of radius R.The coefficient of static friction b/w the tires and the(horizontal) ground is constant ,The motorcycle starts at rest.If the minimum distance the motorcycle must travel in order to achieve it's maximum allowable speed(that is , the speed above which it skids out of the circular path) is given by:

$\Psi$ R

find the value of $\Psi$ {two decimal places}