Table of Contents
- 1 How do you find the magnitude of the centripetal force?
- 2 What factors determine the magnitude of a centripetal force?
- 3 What is the magnitude of centripetal and centrifugal force?
- 4 How do you find the magnitude of the centripetal acceleration?
- 5 How is the formula for centripetal force derived?
- 6 What is magnitude of centrifugal force?
How do you find the magnitude of the centripetal force?
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=mv2/r. According to Newton’s third law of motion, for every action there is an equal and opposite reaction.
What factors determine the magnitude of a centripetal force?
Three factors which affect the centripetal force are:
- mass of the object;
- its speed;
- the radius of the circle.
What is the magnitude of force that causes the centripetal acceleration?
The centripetal acceleration ac has a magnitude equal to the square of the body’s speed v along the curve divided by the distance r from the centre of the circle to the moving body; that is, ac = v2/r. The force causing this acceleration is directed also toward the centre of the circle and is named centripetal force.
How do you find the radius of a centripetal force?
To calculate the centripetal force for an object travelling in a circular motion, you should:
- Find the square of its linear velocity, v² .
- Multiply this value by its mass, m .
- Divide everything by the circle’s radius, r .
What is the magnitude of centripetal and centrifugal force?
The formula of the centrifugal force is given as the negative product of square mass and tangential velocity, divided by radius. That means that the centripetal force would be quadrupled upon doubling the tangential velocity. Centrifugal force is equal in magnitude and opposite in direction to the centripetal force.
How do you find the magnitude of the centripetal acceleration?
We can express the magnitude of centripetal acceleration using either of two equations: ac=v2r;ac=rω2 a c = v 2 r ; a c = r ω 2 .
What is the magnitude of centrifugal force?
This force is called “Cetripetal force “ The magnitude of this force depends on the mass, m of the body, the velocity, v of the body and radius R of the path and s given by mv²/R.
How do you find the magnitude of centripetal acceleration?
How is the formula for centripetal force derived?
- Let a particle of mass m be moving around the circle of radius r with a uniform speed “v”.
- Let the particle moves from A to B in a time t seconds covering a small angle θ
- At the point B the velocity of the particle is along BD.
- ∴ centripetal force=mass× centripetal acceleration.
What is magnitude of centrifugal force?
centrifugal force, a fictitious force, peculiar to a particle moving on a circular path, that has the same magnitude and dimensions as the force that keeps the particle on its circular path (the centripetal force) but points in the opposite direction.