Circular turnings on Roads
Vehicles turning on the road travel along a circular arc the forces acting on the vehicle are given below,
- Weight (Mg) of the car
- Normal reaction force (N)
- Friction
In a horizontal road, the weight of the car and normal reaction force cancel each other. The only force acting in the radial direction is friction force which provides the radial acceleration here, the force of friction acts as the centripetal force.
F = m(v2/r)
As, there is a limit to the maximum value of friction, for a safe turn,
m(v2/r) ≤ μsN
where,
µs is the coefficient of static friction
Dynamics of Circular Motion
Circular motion is a motion in which an object moves around a fixed point in a circular motion. It can be both uniform and non-uniform. If there is no tangential component of acceleration then it is a uniform circular motion, and if the tangential component of acceleration is present, then it is a non-uniform circular motion.
There are lots of examples around us in our daily lives where bodies perform circular motions every day. From the hands of the clock to a car turning on a banked road. All these are examples of circular motion. This motion can be classified into two categories – uniform circular motion and non-uniform circular motion. It is essential to know the dynamics and the equation of the body performing the circular motion. These dynamics allow us to analyze these motions and calculate the statistics related to the behaviour of the body in such motion.
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