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What relationship exists among mass radius of rotation period of revolving mass and the centripetal force in uniform circular motion?
The relationship between those four can be found from using the original centripetal force equation, Fc = (mv2)/r.
Since we know v=d/t, we can sub that into the equation to get Fc=(md2)/(rT2), where T is actually the period.
Now, we know the distance it travels is in a circular motion, so we can assume the distance it travels is equal to the circumference of that circle. Since we know that equation to be d=2Ï€r, we can sub that into our equation to make Fc=(m[2Ï€r]2)/(rT2). Expand that square brackets to make Fc=(m4Ï€2r2)/(rT2). After cancelling one radius from the top and bottom, you are left with the final equation:
Fc=(m4Ï€2r)/T2, where m = the mass of the revolving object, r = radius of the curvature, and T = rotation period of the revolving mass.
What else can I help you with?
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 is the relationship between centripetal force and the rotational force?
Centripetal force is the force required to keep an object moving in a circular path, while rotational force is the force that causes an object to rotate around an axis. In the context of circular motion, centripetal force is responsible for maintaining the circular path, while rotational force contributes to the rotation of the object.
If the radius of rotation and the mass being kept constant how does the centripetal force vary with the speed of rotation of the body?
Recall centripetal force = m v^2 / rAs m and r are found to be constants then centripetal force F is directly proportional to the square of the velocity of the body
What is the relationship between centripetal force and centrifugal force in circular motion?
In circular motion, centripetal force is the inward force that keeps an object moving in a curved path, while centrifugal force is the outward force that appears to push an object away from the center of rotation. These forces are equal in magnitude but act in opposite directions, with centripetal force keeping the object in its circular path and centrifugal force being a perceived force due to inertia.
What is true about centripetal force Check all that apply.?
Centripetal force always acts inward towards the center of rotation. Centripetal force is required to keep an object moving in a circular path. Centripetal force is a real physical force acting on an object in circular motion. Centripetal force can be provided by tension, friction, or gravitational attraction.
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 is the relationship between centripetal force and the rotational force?
Centripetal force is the force required to keep an object moving in a circular path, while rotational force is the force that causes an object to rotate around an axis. In the context of circular motion, centripetal force is responsible for maintaining the circular path, while rotational force contributes to the rotation of the object.
What is similar about a planet's rotation and a planet's revolution?
they are both about circular motions but rotation is on an axis and revolving isn't. also revolution is usually revolving around another object.
If the radius of rotation and the mass being kept constant how does the centripetal force vary with the speed of rotation of the body?
Recall centripetal force = m v^2 / rAs m and r are found to be constants then centripetal force F is directly proportional to the square of the velocity of the body
What is the relationship between centripetal force and centrifugal force in circular motion?
In circular motion, centripetal force is the inward force that keeps an object moving in a curved path, while centrifugal force is the outward force that appears to push an object away from the center of rotation. These forces are equal in magnitude but act in opposite directions, with centripetal force keeping the object in its circular path and centrifugal force being a perceived force due to inertia.
What is true about centripetal force Check all that apply.?
Centripetal force always acts inward towards the center of rotation. Centripetal force is required to keep an object moving in a circular path. Centripetal force is a real physical force acting on an object in circular motion. Centripetal force can be provided by tension, friction, or gravitational attraction.
Is centripetal force a outward force?
No, centripetal force is an inward force that keeps an object moving in a circular path. It is directed towards the center of the circle or the axis of rotation.
What is the difference between centripetal and centrifugal forces and how do they affect the motion of objects?
Centripetal forces pull objects towards the center of rotation, keeping them in circular motion. Centrifugal forces push objects away from the center, counteracting centripetal forces. Together, they balance to maintain the object's circular path.
What is the relationship between centrifugal and centripetal force in a rotating system?
In a rotating system, centrifugal force is the outward force that pushes objects away from the center of rotation, while centripetal force is the inward force that keeps objects moving in a circular path. These two forces are equal in magnitude but act in opposite directions, working together to maintain the object's circular motion.
What direction does a centripetal force act?
radially inward
What is the difference between centripetal and centrifugal force?
Centripetal force is the inward force that keeps an object moving in a circular path, while centrifugal force is the outward force that appears to push an object away from the center of rotation.
What is the difference between centrifugal and centripetal forces in physics?
Centrifugal force is the outward force experienced by an object moving in a circular path, while centripetal force is the inward force that keeps the object moving in a circular path. In simpler terms, centrifugal force pushes an object away from the center of rotation, while centripetal force pulls it towards the center.
