Are radius and centripetal force directly proportional?

The longer answer is a little more complex, since that makes it look as though the centripetal force is inversely proportional to the radius of the circle if the speed is expressed linearly as metres per second and directly proportional if the speed is measured radially as radians per second.

How does centripetal acceleration relate to the rotation radius?

For an object to maintain circular motion it must constantly change direction. The change in velocity due to circular motion is known as centripetal acceleration. Centripetal acceleration can be calculated by taking the linear velocity squared divided by the radius of the circle the object is traveling along.

Is acceleration inversely proportional to radius?

Equations. Radial acceleration is directly proportional to the square of the linear speed and inversely proportional to the radius of the curved pathway.

When the radius of a circle increases the centripetal acceleration?

If you are keeping speed constant and increasing the radius then the centripetal acceleration would decrease. An example of this would be driving a curve with a increasing radius (a spiral) at a constant speed. To understand why, remember that acceleration is the rate of change of velocity.

How do you find centripetal acceleration with only radius?

ac=v2r a c = v 2 r , which is the acceleration of an object in a circle of radius r at a speed v. So, centripetal acceleration is greater at high speeds and in sharp curves (smaller radius), as you have noticed when driving a car.

What does centripetal acceleration depends on?

No matter the situation the centripetal acceleration only depends on the instantaneous speed and radius of the circular path of the object, nothing else, ac = v^2/r.

Is the relationship between centripetal acceleration and radius a proportional direct or inverse indirect relationship?

They show that (1) keeping radius constant implies that centripetal acceleration is proportional to the square of the velocity, (2) keeping velocity constant while varying the radius implies that centripetal acceleration is inversely proportional to the radius.

Why does centripetal acceleration decrease when radius increases?

In the second example the car is driving at a constant speed but as it goes around a curve with a larger radius it will take longer to go half way around so the centripetal acceleration will be smaller because the time for a larger radius is larger.

What happens to the centripetal acceleration when the radius increases?

Centripetal acceleration is directly proportional to the radius of curvature, so it decreases as the radius of curvature increases.

Does acceleration depend on radius?

5 Answers. It all depends on what is kept constant while the radius is changing. If you are keeping the angular speed constant (which is the same as keeping the frequency of revolution or the period constant) then the centripetal acceleration would increase.