QUESTION A car of mass 895kg traveling at a speed of 68mph enters a banked turn

Question

QUESTION A car of mass 895kg traveling at a speed of 68mph enters a banked turn covered with ice. The road is banked at an angle of = 30° and the road is slippery enough that there is no friction between the road and the car's tires. Assuming the car makes it through the turn without sliding in either direction, what is the radius of the turn r? 1. QUESTION 2 A coin rests on a record 0.27m from its center. The record turns on a turntable that rotates at a variable speed. The coefficient of static friction between the coin and the record is 0.56. What is the maximum speed of the record in rpm before the coin slips off? Your answer will be in rpm 1.

Explanation / Answer

QUESTION 1

1]   The outward force in line with the bank = the weight in line with the bank

mv^2/r * cos theta = mg*sin theta

v^2/r cos theta = g sin theta

r = v^2 cos theta/(g sin theta)

where, v = 68mph = 30.4 m/s

r = (30.4)^2*cos 30 degree / (9.8*sin 30 degree)

= 163.34 m

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