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Centripetal force as well as centrifugal force is given by the expression
F = m v2 / r
Hence F is directly proportional to the mass of the body
but inversely related to the radius of the curvature
So higher the mass more centripetal force in needed
Lesser the radius, more centripetal force is required.
The centripetal force required to keep an object in circular motion increases with the mass of the object and decreases with the radius of the circular path. As mass increases, more force is needed to overcome the inertia of the object. A smaller radius means tighter curvature, requiring more force to maintain circular motion.
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How is centripetal force affected by mass?
Centripetal force is not affected by mass. The formula for centripetal force is Fc = (mv^2) / r, where m is mass, v is velocity, and r is the radius of the circular motion. The mass only affects the inertia of the object in circular motion, not the centripetal force required to keep it moving in a circle.
What is the formula for the centripetal acceleration force of a mass?
The formula for centripetal acceleration is a = v^2 / r, where a is the centripetal acceleration, v is the velocity of the object, and r is the radius of the circular path. The force required to produce this acceleration is given by F = m * a, where F is the centripetal force, m is the mass of the object, and a is the centripetal acceleration.
What are the multiplications used to find the amount of centripetal force on a mass moving in a circle?
The amount of centripetal force on a mass moving in a circle is calculated by multiplying the mass of the object by the square of its velocity, and then dividing the result by the radius of the circular path. This can be represented by the formula Fc = mv^2/r, where Fc is the centripetal force, m is the mass, v is the velocity, and r is the radius.
How is the radius of rotation related to the centripetal force and angular velocity?
The centripetal force required for an object to rotate in a circle is directly proportional to the square of the angular velocity and inversely proportional to the radius of rotation. This means that as the radius decreases, the centripetal force required to keep the object in circular motion increases, while an increase in angular velocity will also require more centripetal force.
When does centripetal force double?
The centripetal force doubles when either the mass of an object moving in a circular path is doubled or the square of its velocity is quadrupled. This relationship is described by the centripetal force equation, Fc = mv^2/r, where Fc is the centripetal force, m is the mass of the object, v is its velocity, and r is the radius of the circle.
How is centripetal force affected by mass?
Centripetal force is not affected by mass. The formula for centripetal force is Fc = (mv^2) / r, where m is mass, v is velocity, and r is the radius of the circular motion. The mass only affects the inertia of the object in circular motion, not the centripetal force required to keep it moving in a circle.
What is the relationship between centripetal force and velocity?
Centripetal force is = mass * velocity square divided by radius
How do they affect the centripetal force?
If an object moves in a circle, the centripetal acceleration can be calculated as speed squared divided by the radius. The centripetal force, of course, is calculated with Newton's Second Law: force = mass x acceleration. Therefore, the centripetal force will be equal to mass x speed2 / radius.
What is the formula for the centripetal acceleration force of a mass?
The formula for centripetal acceleration is a = v^2 / r, where a is the centripetal acceleration, v is the velocity of the object, and r is the radius of the circular path. The force required to produce this acceleration is given by F = m * a, where F is the centripetal force, m is the mass of the object, and a is the centripetal acceleration.
What are the multiplications used to find the amount of centripetal force on a mass moving in a circle?
The amount of centripetal force on a mass moving in a circle is calculated by multiplying the mass of the object by the square of its velocity, and then dividing the result by the radius of the circular path. This can be represented by the formula Fc = mv^2/r, where Fc is the centripetal force, m is the mass, v is the velocity, and r is the radius.
How is the radius of rotation related to the centripetal force and angular velocity?
The centripetal force required for an object to rotate in a circle is directly proportional to the square of the angular velocity and inversely proportional to the radius of rotation. This means that as the radius decreases, the centripetal force required to keep the object in circular motion increases, while an increase in angular velocity will also require more centripetal force.
When does centripetal force double?
The centripetal force doubles when either the mass of an object moving in a circular path is doubled or the square of its velocity is quadrupled. This relationship is described by the centripetal force equation, Fc = mv^2/r, where Fc is the centripetal force, m is the mass of the object, v is its velocity, and r is the radius of the circle.
If the radius of rotation and the mass being kept constant how does centripetal force vary with the speed of rotation body?
Centripetal force is directly proportional to the square of the speed of rotation. As the speed of rotation increases, the centripetal force required to keep the object moving in a circular path also increases. This relationship follows the formula Fc = mv^2 / r, where Fc is the centripetal force, m is the mass, v is the speed, and r is the radius of rotation.
What decreases the centripetal force?
If a body of mass m is in uniform circular motion with speed v and radius r, then the force acting on it has magnitude F = mv2 / r and is directed towards the centre of the circle. This is termed a "centripetal" (meaning "centre-seeking") force. To decrease the magnitude of the centripetal force, you must therefore either decrease the mass of the body, decrease the orbital speed, or increase the radius of the orbit.
What is centripetal force and write its formula?
Centripetal force is the force that keeps an object moving in a circular path. Its formula is Fc = (mv^2) / r, where Fc is the centripetal force, m is the mass of the object, v is the velocity of the object, and r is the radius of the circular path.
What are the factors affecting the centripetal force of a whirling body?
The factors affecting the centripetal force of a whirling body include the mass of the body, the velocity at which it is moving, and the radius of the circular path it is following. Additionally, the centripetal force is directly proportional to the square of the velocity and inversely proportional to the radius of the circular path.
What is the formula for centripital force?
The formula for centripetal force is Fc = m * v^2 / r, where Fc is the centripetal force, m is the mass of the object, v is the velocity of the object, and r is the radius of the circular path.
