Uniform Circular Motion

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Uniform Circular Motion

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Uniform circular motion refers to the motion of an object moving in a circular path at a constant speed. In this type of motion, the speed of the object is constant and the direction of motion is constantly changing, as the object moves along the circumference of the circle.

Example: A common example of uniform circular motion is a satellite orbiting around the Earth. The satellite is moving in a circular path around the Earth at a constant speed, but its direction of motion is constantly changing due to the Earth’s gravitational pull.

Satellite-speed-and-force-directions

Centripetal Force

Centripetal force is the force directed towards the centre of a circle that keeps an object in uniform circular motion.

Expression:

F = mv2 / r

Postulates:

  1. It is denoted by Fc
  2. The centripetal force is always directed towards the centre of the circular path.
  3. The centripetal force can be calculated using the formula F = mv2/r, where F is the centripetal force, m is the mass of the object, v is its speed, and r is the radius of the circular path.
  4. It depends on the velocity “v”, radius “r”, and on the mass of object “m
  5. The centripetal force is necessary to maintain an object in uniform circular motion   and to change its direction.

Example:

A ball tied to a string and being swung around in a circle experiences a force directed towards the centre of the circle, which is the tension in the string. This force is the centripetal force, responsible for keeping the ball in uniform circular motion. If the string is suddenly released, the ball would no longer experience the centripetal force, resulting in the ball moving off in a straight line tangent to the circle. Thus, the centripetal force is necessary to maintain an object in uniform circular motion and to change its direction.

Centrifugal Force

Centrifugal force is a force that appears to act on an object moving in a circular path and tends to push it away from the centre of the circle.

Postulates:

  1. The Law of Conservation of Energy: Centrifugal force is a result of the energy stored in a rotating object. As the object moves in a circle, its energy is conserved, and the force produced is proportional to the object’s mass, speed, and distance from the centre of rotation.
  2. The Equivalence of Centrifugal and Inertial Forces: Centrifugal force is equivalent to an inertial force, which is a force that resists changes in motion. This means that the centrifugal force acts in opposition to the centripetal force, which is the force that pulls an object towards the centre of rotation.
  3. The Relationship Between Centrifugal Force and Centripetal Force: Centrifugal force and centripetal force are two sides of the same coin. Centrifugal force acts in opposition to centripetal force, which provides the force necessary to keep an object moving in a circle. Together, they maintain the object’s circular motion.

Example:

 A simple example of centrifugal force in action can be seen when driving a car around a sharp turn. As the car turns, it experiences a centripetal force towards the centre of the turn, provided by the friction between the tires and the road. This force allows the car to maintain its circular path. However, as the car turns, an equal and opposite force, the centrifugal force, acts on the car, pushing it outwards and away from the centre of the turn. If the turn is sharp enough or the speed is high enough, the centrifugal force can become strong enough to overcome the frictional force, causing the car to skid out of control.

Applications of Centrifuge:

Explanation:

Centrifuge appliances are used to separate heavier particles from lighter particles in liquids e.g. Sugar crystals are separated from molasses. Blood analysis is carried out through a centrifuge process in the laboratory. Cream separator is used to separate the cream from skimmed milk. An ultracentrifuge is used for separating small particles from large molecules. A centrifuge is used for separation of isotopes.

Road Banking

The outer edge or bank of the road is raised to a certain height at the curved part of roads. This provides the centripetal force against the tyres of the vehicle hence prevents skidding.

Cream Separator

The milk plants in the country are using high speed spinners to separate cream from milk. The skimmed milk is heavier whereas the cream is lighter. When the milk is spun at high speed the heavy particles are pushed towards the walls of the spinner. These particles push the lighter particles of cream to the centre where from it is collected through a tube.

Dryer

Now a day’s built-in dryer is available in most washing machines. It spins the wet clothes hence the water droplets are thrown away from the perforated walls of the dryer and clothes get dry instantly.

Quiz

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