# Relationship between the centrifugal force and mass

### Centrifugal force - Wikipedia

The magnitude F of the centripetal force is equal to the mass m of the body times its velocity squared v 2 divided by the radius r of its path: F = mv 2/ r. According. Centrifugal force can be increased by increasing either the speed of rotation or the mass of the body or by decreasing the radius, which is the distance of the. Applications of centrifugal force include a rotating disk, amusement park The equation for the centrifugal inertial force, as a function of mass.

That applied force is called a centripetal force. A common example is swinging an object around on a rope. See Centripetal Force for more information. Centrifugal force Newton's Third Law or Action-Reaction Law states that for every applied force, there is an equal and opposite force. In other words, when you apply a force on a rope in swinging an object around you, the rope pulls on the object with that force, and the object provides an equal and opposite force on the rope.

You will then feel that equal and opposite force pulling the rope and the object away from you. This force is the centrifugal force. Many Physics sources say that centrifugal force is a fictitious or pseudo false force. This is contrary to the fact the you can feel the force. Also, they seem to have forgotten Newton's Third Law. If they would have applied the Law, they would have seen that the centrifugal force is equal and opposite the centripetal force. Centrifugal force is an inertial force that resists changing the direction or velocity of the object.

Examples of centrifugal force There are various examples of applications of the centrifugal force. Spinning disk If you place an object on a disk and start it spinning, the friction holding the object on the disk is the centripetal force causing the object to move in a curved path.

Once the disk spins fast enough, the centrifugal inertial force can become greater than the centripetal friction force holding the object in place.

The object will then fly off in a straight line. Ball flies off spinning disk in straight line due to centrifugal force overcoming friction Round-Up ride A related example is the amusement park ride, Round-Up, which consists of a circular platform that has a vertical cage-like wall around the edge. Centrifugal force holds people on walls in carnival ride Ref: Amusement Ride Extravaganza When the platform spins at a high enough rate, the centrifugal inertial force pushes the riders against the wall, holding them in place as the platform changes directions.

Although the riders feel a force pushing them against the wall, there is no real force or agent that is doing the pushing. It is simply an effect of inertia. Roller coaster ride Another amusement park ride that shows the centrifugal force is the roller coaster.

### What Are Centrifugal & Centripetal Forces?

When the roller coaster goes over the curved top of the tracks, you feel the centrifugal force pulling you upward. Saad Shutterstock There are many applications that exploit centripetal force.

One is to simulate the acceleration of a space launch for astronaut training. When a rocket is first launched, it is so laden with fuel and oxidizer that it can barely move.

However, as it ascends, it burns fuel at a tremendous rate, continuously losing mass. In most situations, mass remains constant. With a rocket, though, its mass changes drastically, while the force, in this case the thrust of the rocket motors, remains nearly constant.

This causes the acceleration toward the end of the boost phase to increase to several times that of normal gravity.

In this application, the centripetal force is provided by the seat back pushing inward on the astronaut. One common use of this technology is for fractionating blood samples.

## What Are Centrifugal & Centripetal Forces?

However, a typical centrifuge can achieve accelerations that are to 2, times that of normal gravity. This forces the heavy red blood cells to settle at the bottom and stratifies the other various components into layers according to their density.

**Mass and weight clarification - Centripetal force and gravitation - Physics - Khan Academy**

A uranium oxide powder called yellow cake U3O8 is first converted to uranium hexafluoride gas UF6 and piped into a spinning cylinder. The heavier U is forced to the outside while the lighter U moves to the inside, where the cylinder is tapped and the gas is piped to the next centrifuge in the array for further enrichment.

It takes multiple steps to enrich the gas to just 3 to 5 percent U, which is required to fuel nuclear power plants, and many more steps are required to produce highly enriched weapons-grade uranium which is over 90 percent pure U This gives rise to an interesting phenomenon. When a container filled with a liquid is rotated at a constant rate, the liquid moves toward the outside of the container against the force of gravity which is pulling down on the liquid trying to flatten it out.

## Weight and centrifugal force

The angular velocity increases linearly the farther you get from the center. LMTs use a reflecting liquid metal usually mercury that is rotated so as to form a parabolic reflecting surface.

In order to save weight and cost, the bowl containing the mercury is close to the desired parabolic shape so only a thin layer of the liquid metal is needed.