Size+of+the+Circle+&+Speed

Although you may never have thought about it, every time you are taking a turn in your walk or in your run to change the direction you are moving you are moving in a circular path until you are back heading straight. Usually, when we are moving at low speeds it may be not very obvious as taking circular turns each time we change the direction rather than taking sharp bends. That is because the circles we are moving through at low speeds are circles of __smaller radii__.

But, at high speeds one cannot take sharp turns. Therefore one has to either slow down right before taking the turn, just like one does when turning a car at an intersection, or there should be an allowance to move through a circle of larger radius while taking the turn.

A sharp turn or large turns it may appear to you, what you are making is a circular turn. What is different is only the size of the circle or the radius at each case.



Picture at left shows the curb at the intersection is designed allowing vehicles a smooth circular turn. Also the curved sidewalk allows pedestrians a faster walking or jogging pase.

Examples : Athletic tracks are made with large circular turns allowing runners to change directions while moving at faster strides. It is possible to see the same pattern in race car tracks



**Summary**
So, what we can recognize from the above information?


 * All turns are made as smaller or larger circular turns
 * The speed at which a turn can be made is decided by radius of the circle
 * Larger the radius of the circle higher will be the speed along the turn