James Bond and the ever present bond girl arc on a dirt bike escaping from a car

Question

James Bond and the ever present bond girl arc on a dirt bike escaping from a car load of bad guys. If we have the following conditions: James Bond's mass is 84 Kg The Bond Girl is 48Kg The Dirt Bike's mass is 113.6 Kg The tires on the dirt bike arc 0.6m in diameter With Bond and the girl on the din bike it can rcach a top speed of 111 Kpl I The coefficient of static friction between the bike and the road is 0.71 The coefficient of kinetic friction between the bike and the road is 0.4 How fast can the dirt bike go around a 90degree curve. 6 m from the center of rotation, without losing traction?

Explanation / Answer

Let V_max is maximum speed

Apply, maximum static friction toward center of curve = m*a_max

mue_s*N = m*v_max^2/r

mue_s*m*g = m*v_max^2/r

v_max^2 = mue_s*g*r

v_max = sqrt(mue_s*g*r)

= sqrt(0.71*9.8*6)

= 6.46 m/s <<<<<<-----------Answer

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