# Assessing the relationship between the centripetal motion of an object and the radius

LMTs use a reflecting liquid metal usually mercury that is rotated so as to form a parabolic reflecting surface.

Calculating v and w 20 minutes Discussion: Consider what you would have to do to keep the radius the same. In the case of a rotating system, the centripetal force pulls the mass inward to follow a curved path, while the mass appears to push outward due to its inertia.

The speed was not constant for the entire motion, since the string would sometimes be changing radius. Uniform Circular Motion question, relationship between period and radius This direction is shown with the vector diagram in the figure. When the mass hanging at the bottom puts tension on to the rubber stopper of certain amount, the rubber stopper exerts the same amount of force on to the hanging mass, except in the opposite direction.

Assuming that the Moon orbits the Earth in a circular path, calculate the Moon's orbital velocity vm and orbital period Tm given the following data and equations from the Reference Tables for Physics: Since radius and frequency are inversely proportional to each other, the increase in radius, increases the value of the denominator, in result as the constant is the tension, the frequency decreases.

Large linear velocities have no effect on us.

The timer could have also stopped the time before or later when the experiment was being done. Calculating v and w Some radian ideas and practice calculations of v, w.

Make sure to set-up your axes properly with each commencing numeration at zero. This would be an extremely uncomfortable situation!

Since the centripetal force and the frequency have a directly proportional relationship, the results established were valid. This equation shows that the net force required for an object to move in a circle is directly proportional to the square of the speed of the object.

The net force is related to the acceleration of the object as is always the case and is thus given by the following three equations: You experience this acceleration yourself when you turn a corner in your car—if you hold the wheel steady during a turn and move at constant speed, you are in uniform circular motion.

As long as no resultant net force acts obliquely upon an object in motion it will travel along a linear path.Centripetal force is related directly to velocity squared and mass, and is related inversely to radius.

On the basis of the first graph, what is the relationship between the velocity of a whirling object and the centripetal force exerted on it? This is the acceleration of an object in a circle of radius r r r r at a speed v v v v.

So, centripetal acceleration is greater at high speeds and in sharp curves—smaller. Centripetal force is defined as, “The component of force acting on a body in curvilinear motion that is directed toward the center of curvature or axis of rotation,” while centrifugal force is.

So there is an inverse relationship between the force and radius,and direct proportionality between the force and velocity And that tells us if the velocity speeds.

Questions on Circular motion A particle of mass m moves with constant speed v on a circle of radius R. The following holds (pick one): 1.

The centripetal force is v2/R towards the center. 2. When an object moves through a gas like air or a ﬂuid like water, it will be. Lab: Centripetal Force (CP) Purpose. The purpose of this lab is to investigate the relationship between the velocity squared (v2) of an object in uniform circular motion and (1) the centripetal force on the object & (2) the radius of the circle the object is traveling in.

Assessing the relationship between the centripetal motion of an object and the radius
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