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What happens to centripetal force if the radius is doubled?

What happens to centripetal force if the radius is doubled?

Centripetal force is inversely proportional to the radius of the circular path of the object. So, if the radius is doubled then the centripetal force gets halved.

What will happen to the centripetal force if you increase the radius of rotation?

If the magnitude of centripetal force increases what will happen to the object moving? – Quora. From the above relation,centripetal force is inversely proportional to the radius and is directly proportional to the mass and the velocity.

What happens to the centripetal acceleration of a particle when its speed is doubled and angular velocity is Hafte?

The centripetal acceleration if speed is doubled , the force required to provide the centripetal acceleration would be 4 times. Therefore the orbital speed ${\text{V}}$ is doubled and the angular velocity $\omega $ is halved when the centripetal acceleration of the revolving body is quadrupled.

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What will be the centripetal force if the velocity is doubled and radius is increased by 4?

So, if vi doubles, Fc would quadruple. The original Fc was m⋅v2ir and it increased to 4⋅m⋅v2ir . That is an increase of 3⋅m⋅v2ir or 300\%.

How does radius affect the centripetal force?

Centripetal force is perpendicular to velocity and causes uniform circular motion. The larger the F c , the smaller the radius of curvature r and the sharper the curve.

How does radius affect circular motion?

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.

What happens to the centripetal acceleration of a particle when its speed?

Where is the centripetal acceleration on an object, is the velocity of an object, and is the radius in which the object moves in a circle. The velocity has an quadratic relationship with centripetal acceleration, so when the velocity is doubled, the centripetal acceleration is quadrupled.

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What happens to the centripetal acceleration of the particle?

Assertion: When a particle moves in a circle with a uniform speed, its velocity and acceleration both changes. Reason: The centripetal acceleration in circular motion is dependent on angular velocity of the body.

What happens to velocity when force is doubled?

Double the force and the velocity-change doubles.

How does radius effect circular motion?

The greater the speed, the greater the radial acceleration. A particle moving at higher speed will need a greater radial force to change direction and vice-versa when the radius of the circular path is constant.