A car of mass M = 1500 k g traveling at 40.0 k m / h o u r enters a banked turn

Question

A car of mass M = 1500kg  traveling at 40.0km/hour  enters a banked turn covered with ice. The road is banked at an angle ?, and there is no friction between the road and the car's tires.

What is the radius r of the turn if ? = 20.0? (assuming the car continues in uniform circular motion around the turn)?

A car of mass M = 1500kg traveling at 40.0km/hour enters a banked turn covered with ice. The road is banked at an angle ?, and there is no friction between the road and the car's tires. What is the radius r of the turn if ? = 20.0? (assuming the car continues in uniform circular motion around the turn)?

Explanation / Answer

m*v^2/r*cos(theta) = mgsin(theta)

11.11^2/r = 9.8*tan20

r = 11.11^2/9.8*tan20 = 34.61 m

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