Fly Fishing Gear

A stone has a mass of 5.55 g and is wedged into the tread of an automobile tire, as the drawing shows. The coe

A stone has a mass of 5.55 g and is wedged into the tread of an automobile tire, as the drawing shows. The coefficient of static friction between the stone and each side of the tread channel is 0.943. When the tire surface is rotating at 12.3 m/s, the stone flies out of the tread. The magnitude FN of the normal force that each side of the tread channel exerts on the stone is 1.66 N. Assume that only static friction supplies the centripetal force, and determine the radius r of the tire (in terms of m).
PLEASE HELP

the centripetal force
5.55*12.3^2/(R*1000)
equals the force of frictin at the instant before the stone flies out.
2*1.66*0.943

I miltiplied by two since the stone makes contact on two surfaces with the tread channel
equate and solve for R

2*1.66*0.943=5.55*12.3^2/(R*1000)

R=5.55*12.3^2/(1000*2*1.66*0.943)
R=0.268 m
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