Centripetal Force

Up Printable Assignment

 

OBJECTIVE

In order to travel around a curve, a car must experience a force towards the center of the turn. This inward force is called centripetal force. The Indianapolis Motor Speedway slopes towards the center of the track so that part of the inward or centripetal force the car needs in order to turn is provided by the car's weight. (Actually, the centripetal force comes from the Newton's Third Law reaction force of the track on the car.)

 

THE PHYSICS

Whenever a moving body changes its direction, it accelerates and therefore must experience a net force. In the case of a car traveling in a circle, the force must be directed towards the center of the circle in order to pull the car around the circle. Turns on a racetrack are approximately arcs of circles. The "center-seeking" or centripetal force must get larger as the speed of the turning car increases and as the radius of the turn gets smaller. In order to win at Indianapolis, cars must make a series of very tight turns with small radii of curvature at very high speeds. Thus they need large amounts of centripetal force.

If the track were flat, the force pulling the car around the curve would be provided by the adhesion of the car's tires to the track, which is the frictional force between the tires and the track. Thus racing speeds would be limited by the friction available between the tires and the track. In order to allow higher speeds, the track at Indianapolis is banked so that it slopes towards the center of the turns. When a car goes around the turn, part of its weight pulls it towards the center of the turn and provides some of the centripetal force needed to swing it around the turn.

SOMETHING EXTRA

The black streak on the track marks the groove, the preferred path of racecars around the track. Notice that cars approach turns so that they ride very high on the turn and narrowly miss the wall. This means that they must make a very sharp turn, but it also allows the driver to use part of the weight of the car to slow the car as it climbs into the turn and to increase its speed as it comes out of the turn and down the slope of the track to the straightaway.

If no net force acts on a body, it will continue traveling in a straight line at a constant speed (Newton's First Law). Thus if a car doesn't have enough centripetal force to pull it around a turn, it will travel tangent to the curve it meant to follow and thus hit the wall. Common accidents at Indianapolis occur when a driver takes a curve a little too fast and brushes the wall because the lateral adhesion of his car and the part of its weight directed towards the center of the turn do not provide enough centripetal force to pull him around the turn at a small enough radius.

   

   

 

OTHER EXAMPLES

If you do not wear a seat belt and the car you are riding in makes a sharp turn, you are apt to slide along the seat of the car towards the out- side of the turn. This happens because there is no centripetal force pulling you around the turn. When you wear seat belts, they provide; the centripetal force. 

Bicycle riders lean towards the inside of a curve so that their weight will provide part of the centripetal force pulling them around the turn.

Some roller coasters travel around a complete loop so that at one point the car and the passengers are upside down. Passengers don't fallout of the car because the car is moving fast enough so that the passengers' weight at the top of the loop goes into providing centripetal force for the turn. No force is left over to accelerate the passenger out of the car.  

When you lift a spinning beater out of the batter, the batter splatters around the kitchen. This happens because the adhesive force between the batter and the beater does not provide the centripetal force necessary to pull the batter around a circle with the beater, so the batter flies off in a straight line at constant speed.