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- Centripetal Motion: The Rate of Change of Velocity

September 8, Centripetal Motion Objectives of the practical To determine the centripetal force existing in a body.To find out the relationship between mass, radiuses and velocity

To study motion of moving in circular manner

Discussion

Acceleration refers to the rate of change of velocity, therefore, if a circulating body, there is change in velocity which implies the body is accelerating. Centripetal acceleration refers to “the acceleration of a body which is moving in a circular path at a constant tangential speed. The magnitude of this centripetal force is given by:

Where R is the radius of the path

Considering newton’s second law of motion with is given by the equation below,

There is an indication that there must exist a net force on a body moving in circular motion at constant speed. This net force is what is referred to as centripetal force which is always in the center of a moving object.

Combining the above two equations results in an equation which is used in finding the magnitude of the centripetal force

The equation is:

This experiment involves a mass of an object rotated about an axis having a given radius R.

Materials

Springer Hanger

Mass

Clamp

Pulley

Center post pulley

Procedure

1. Put a weight of 1 kg at the end of the rotating platform and adjust the leveling screws in such a way that weighted end of the platform with the third leveling screw. After the apparatus has balanced, remove the 1 kg mass.

2. Take the mass of the hooked mass and record

3. Put the hooked mass on the apparatus ensuring it is connected to the string from the center post.

4. Select the radius R

5. Gently rotate the apparatus while increasing the speed and record the time the mass takes to complete N revolutions. To get an average value of Time, repeat these steps severally.

To study motion of moving in circular manner

Discussion

Acceleration refers to the rate of change of velocity, therefore, if a circulating body, there is change in velocity which implies the body is accelerating. Centripetal acceleration refers to “the acceleration of a body which is moving in a circular path at a constant tangential speed. The magnitude of this centripetal force is given by:

Where R is the radius of the path

Considering newton’s second law of motion with is given by the equation below,

There is an indication that there must exist a net force on a body moving in circular motion at constant speed. This net force is what is referred to as centripetal force which is always in the center of a moving object.

Combining the above two equations results in an equation which is used in finding the magnitude of the centripetal force

The equation is:

This experiment involves a mass of an object rotated about an axis having a given radius R.

Materials

Springer Hanger

Mass

Clamp

Pulley

Center post pulley

Procedure

1. Put a weight of 1 kg at the end of the rotating platform and adjust the leveling screws in such a way that weighted end of the platform with the third leveling screw. After the apparatus has balanced, remove the 1 kg mass.

2. Take the mass of the hooked mass and record

3. Put the hooked mass on the apparatus ensuring it is connected to the string from the center post.

4. Select the radius R

5. Gently rotate the apparatus while increasing the speed and record the time the mass takes to complete N revolutions. To get an average value of Time, repeat these steps severally.