nFURM CIRCULAR MOTION Objective: The purpose of this experiment to test the of 2
ID: 1603759 • Letter: N
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nFURM CIRCULAR MOTION Objective: The purpose of this experiment to test the of 2nd Law as it applies to the case of an object with constant speed in a circular path and, therefore, being acted on by a centripetal force. Apparatus: spring attached Uniform Circular Motion (UCM) unit, mass suspended from strings, to multihole ladder, weights, timer clock. Theory: Uniform Circular Motion describes the motion of an object that moves along a circular path of course, as ty whose is constant. The direction of the velocity changes, path, it is the object moves along the circular path being always tangent to the always show that the object has to radius of circle. When this occurs, we can an acceleration the in magnitude and always pointing that along the radius toward the circular path. For reason, the acceleration in UCM is called centripetal acceleration" acp. Its (constant magnitude is given where R is the radius of the circle. In this case, recalling Newton's 2nd Law of Motion F ma, the net external force F acting on the object must also point toward the center of the circle, as its direction is always parallel to the acceleration. For this reason the net external force in UCM is called "centripetal R force" Fep. Therefore we rewrite Newton's 2nd Law for UCM (2) mad, For the purposes of this experiment it is useful to further rewrite (2), by noting that the speed v can be written in terms of the radius R and frequency f of the circular motion. The frequency f is the number of revolutions per second, which is the inverse of the period T of the motion, the time required for the object to go around once). Recall v distance/time circumference/period 2TRT 2 TRf. Therefore, Eqn. (2) can be rewritten as:Explanation / Answer
Newton's second law is stated by the equation F=ma
It's raw form started that the acceleration produced in an object is proportional to the rate of change of momentum
Here in the experiment constant velocity situation is being analysed with a body moving in a given circular path.
In circular motion there are two accelerations. One us tangential and other is central. The tangential velocity is constant. So tangential acceleration is zero. But the central acceleration is not 0. It is due to centrifugal force which is required to keep the body moving in circle. It depends on the speed of the body moving in circle and the radius of the circle.
F=mv^2/r
V is the speed of the object
Note, that v can be related to number of revolutions per sec the body makes.
2pi r/ T= v
All these equations give the final equation .
Hence the force can be experimentally calculated and verified with the practical values
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