Why centripetal force is directly proportional to radius?

The explanation relates to the fact that the linear distance traveled around the edge of the circle is also proportional to the radius. Over all, the greater the radius of the circle, for the same radial velocity, the greater the force.

Is centripetal force directly proportional to speed?

Note that the centripetal force is proportional to the square of the velocity, implying that a doubling of speed will require four times the centripetal force to keep the motion in a circle.

Is centrifugal force directly proportional to radius?

If the constant thing is its angular velocity, then centripetal force is proportional to the radius. If the thing which remains constant is the speed of the moving object, then the centripetal force is inversely proportional to the radius.

Is centripetal acceleration directly proportional to the radius?

Centripetal acceleration is ac = rω^2, where r is the radius and ω is the angular velocity (radians per unit time). So, yes, using radius r and angular velocity ω, centripetal acceleration is directly proportional to radius.

Is centripetal force inversely proportional?

As the mass of an object in uniform circular motion increases, what happens to the centripetal force required to keep it moving at the same speed? It increases, because the centripetal force is inversely proportional to the mass of the rotating body.

Why is centripetal acceleration inward?

As the centripetal force acts upon an object moving in a circle at constant speed, the force always acts inward as the velocity of the object is directed tangent to the circle. This would mean that the force is always directed perpendicular to the direction that the object is being displaced.

Is centripetal force inversely proportional to mass?

2). That relation tells us that the centripetal force is proportional to the mass and to the radius and proportional to the square of the frequency.