v = velocity (m/s)
r = radius of the curve (m)
a g = acceleration of gravity (9.91 m/s 2 )
- or alternatively in degrees
Θ degrees = tan -1 (v 2 / (r a g )) (360 / 2 π ) (1b)
The required banked angle to avoid the centrifugal force can be calculated:
Θ = tan -1 (((70 km/h) ( 1000 m/km) / (3600 s/h)) 2 / ((1000 m) (9.81 m/s 2 )))
= 0.0385 rad
= (0.0385 rad) (360 / 2 π)
= 2.2 o
This calculator can be used to calculate the centripetal acceleration of the car and the banked angle.
The diagram below indicates velocity vs. curve radius and required banked turn to compensate centrifugal forces .
Motion - velocity and acceleration, forces and torque.
Acceleration of gravity and Newton's Second Law - SI and Imperial units.
Converting between units of acceleration.
Forces due to circular motion and centripetal / centrifugal acceleration.
Linear and angular (rotation) acceleration, velocity, speed and distance.
Traffic flow and density as used in highway design.
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