To acquire data regarding force, period, and velocity of the experimental setups a force sensor and photogate motion sensor were employed. The only two external forces on the mass are the force due to gravity, —mg, and the force of tension on the string.
The period and force were measured from seconds, as shown in graph 2, to obtain the minimum value of force and be assured that the period was constant over the course of the trial.
The velocity and force were measured from seconds, as shown in graph 1, to obtain the mean values. The measured minimum value for force was found to be.
Linear velocity is kept constant in order to maintain a similarly constant angular velocity and can be written in terms of radians where T is the period: The formula for tension is found by isolating it to one side of the equation presented earlier: The first law states that a body remains Centripetal force lab report constant uniform motion, or at rest, unless a net force acts upon it.
Thusly, if a force is kept constant perpendicular to the direction of motion then uniform motion along an arc with radius r is achieved. This large deviation in the results is due to error associated in the experiment.
Propagation of Error Propagation of error associated with the two experimental procedures can be calculated from the formulas for propagation of random error.
The percentage difference for the calculated tension of the pendulum string and the actual tension is. Simple Pendulum The measurements taken from Test 1 were recorded and placed onto graph 1. Using equation 10 one can calculate the expected centripetal force, or force of tension experienced by the string by using the mean period data.
Summary of Data Force of tension calculated from experiment 1 and centripetal force calculated from experiment 2 with propagation of error and percent error from the Centripetal force lab report value.
Two experimental conditions were measured using 1 a simple pendulum and 2 a rotating table. The data was then analyzed graphically and mathematical calculations were performed on the graphical data.
The mean value for velocity is. Since error in this experiment can be either positive or negative it is useful to use an error formula that examines error squared as expressed by du 2. Since the centripetal force is mass times velocity squared over the radius of the circle the two formulae, 5 and 9can be combined: Applying a force parallel to the direction of motion will cause the velocity to either increase or decrease in magnitude, whereas a force applied to any angle will cause a change in magnitude and direction.
When the force of gravity is counteracted, possibly by a horizontal spinning table, then the force of tension on the string is only due to the centripetal force and the second term is equal to 0.
On the contrary, a force applied perpendicular to the direction of motion will only cause a change in the direction, not magnitude. The formula for the propagation of random error of the formula is shown below where s is the standard deviation: Due to not making sure that the rotating arm was precisely underneath the force sensor, the force measured was the combination of some forces and not just the isolated centripetal force.
The results of the experiment confirm that the tension caused on the string of the pendulum is the centripetal force in addition to the force due to gravity. Rotating Table The measurements taken from Test 2 were recorded and placed onto graph 2.
Acceleration, being a quantity calculated by how fast the velocity is changing per unit time, can be expressed as the derivative of velocity giving the equation: The large percent difference in the second experiment is due to an error in the experimental procedure. The mean value for velocity will be used in equation 8 to calculate the force of tension that should be exhibited by the string.
Applying this force constantly to the direction of motion will cause the body to remain moving in a uniform circular motion.Centripetal Force Purpose: In this lab we will study the relationship between acceleration of an object moving with uniform circular motion and the force required to produce that acceleration.
Lab 3 15 Lab 3. Centripetal Force Introduction Those of you who have tied an object to a string and whirled it in a horizontal circle above your. In this lab you’ll explore the factors determining the centripetal force acting on a body traveling in a circle.
By this point you should have already learned the centripetal force equation relating these factors. [SCI] Physics Full Lab Report - Centripetal Force - Free download as PDF File .pdf), Text File .txt) or read online for free.
Physics Full Lab Report - Centripetal Force/5(16).
12d-Centripetal Force Lab - 2 - a = v 2/r (2) where r is the radius of the circular path of the object. Therefore the expression for the centripetal force can be written as: F = mv 2/r.
(3)The magnitude of the linear velocity of the rotating object equals the circumference of the.
7/07 1 Centripetal Force Lab Saddleback College Physics Department, adapted from PASCO Scientific 1. Purpose To use a PASCO apparatus containing a rotating brass object to.Download