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t. e. A centripetal force (from Latin centrum, "center" and petere, "to seek" [1]) is a force that makes a body follow a curved path. The direction of the centripetal force is always orthogonal to the motion of the body and towards the fixed point of the instantaneous center of curvature of the path. Isaac Newton described it as "a force by ...
The only acceleration responsible for keeping an object moving in a circle is the radial acceleration. Since the sum of all forces is the centripetal force, drawing centripetal force into a free body diagram is not necessary and usually not recommended.
It is directed towards the center of the rotational motion, and is often called the centripetal acceleration. The angular acceleration is caused by the torque , which can have a positive or negative value in accordance with the convention of positive and negative angular frequency.
In mechanics, acceleration is the rate of change of the velocity of an object with respect to time. Acceleration is one of several components of kinematics, the study of motion. Accelerations are vector quantities (in that they have magnitude and direction). [ 1 ][ 2 ] The orientation of an object's acceleration is given by the orientation of ...
[note 9] The force required to sustain this acceleration, called the centripetal force, is therefore also directed toward the center of the circle and has magnitude /. Many orbits, such as that of the Moon around the Earth, can be approximated by uniform circular motion.
When considered in an inertial frame (that is to say, one that is not rotating with the Earth), the non-zero acceleration means that force of gravity will not balance with the force from the spring. In order to have a net centripetal force, the magnitude of the restoring force of the spring must be less than the magnitude of force of gravity.
A circular orbit is an orbit with a fixed distance around the barycenter; that is, in the shape of a circle. In this case, not only the distance, but also the speed, angular speed, potential and kinetic energy are constant. There is no periapsis or apoapsis. This orbit has no radial version. Listed below is a circular orbit in astrodynamics or ...
Centripetal force; Centrifugal force ... The negative sign on the right ... where m is the mass of the pendulum, g is the acceleration due to gravity, l is the ...