Question
A roadway for stunt drivers is designed for race cars moving at a speed of 95 m/s. A curved
section of the roadway is a circular arc of 760 m radius. The roadway is banked so that a vehicle
can go around the curve with the friction force from the road equal to zero. At what angle is the
roadway banked?
v=95m/s
r=760 m
mg tan theta = mv^2/r
theta =?
section of the roadway is a circular arc of 760 m radius. The roadway is banked so that a vehicle
can go around the curve with the friction force from the road equal to zero. At what angle is the
roadway banked?
v=95m/s
r=760 m
mg tan theta = mv^2/r
theta =?
Answers
theta = arctan(v^2/gr)
theta = arctan(95^2/(9.8*760))
theta = 8.7 degrees
theta = arctan(95^2/(9.8*760))
theta = 8.7 degrees
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