What is the equation or the formula of centripetal force?

Answer 1

The formula for centrifugal force is f - mcDel.V -mcv/r cos(VR).

Another formula is Fcf + mv2/r + mrw2

Here, m mass of the body in circular motion (kg)

v its linear velocity (m/s)

r radius of the curve (m)

w angular velocity (rad/s)

Answer 2

The force of friction is a force acting from a surface in the opposing direction of the body's tendency to slide. It is due to both the normal force pushing from a surface against a body and a condition of the surface called the coefficient of friction. Dependent on whether the body is at rest or moving there is a different coefficient of friction. Static friction is used when the body is at rest and is defined by
Ffriction=Nμs

where Ffriction is the force of Friction, N is the normal force, and μs is the coefficient of static friction. Kinetic friction is used when the body is sliding along the surface and is defined by

Ffriction=Nμk
where μk is the coefficient of kinetic friction.

Answer 3

Consider a body moving at constant speed in a circular path of radius r. In dt seconds, it covers a distance of ds through an angle of dA. Its change in velocity is dv. We then have the following equations:

1. ds = rdA (from length of arc = radius x angle subtended at centre of circle in radian)

2. ds = vdt (from distance = speed x time)

3. dv = vdA (Here, a vector diagram will help)

Note that these are only approximations. Due to lack of the approximation sign, I have used the equal sign itself.

From 1 and 2,

rdA = vdt

dA = vdt/r --------- 4

Substituting dA = vdt/r into 3, we have:

dv = v(vdt/r)

dv/dt = v2/r

As the small changes approach zero,

lim(dv/dt) = v2/r

=> Centripetal acceleration = v2/r (since a = dv/dt)

Note here that they are exactly equal.

From Newton's second law,

Centripetal force = mv2/r = mw2r

where w is the angular velocity and v = wr.

Answer 4

First, calculate the centripetal acceleration, with one of these formulae:

a = v2/r

a = omega2r

Where "v" is the speed, "r" is the radius, and "omega" is the angular speed, in radians/second.

Then, you can use Newton's Second Law:

F=ma

to find out the force required to keep a certain mass moving in a circle.

Answer 5

Centripetal acceleration =v^2/r and the centripetal force is mv^2/r.

Answer 6

f =mv2/r