![]() The friction between the tape and the timer should be negligible to make the motion of the weight and tape a free fall 5. Turn on the tape timer and release the tape-weight system from rest. Straight and be ready to release it vertically, make sure the weight- attached tape will go through the lockers smoothly to minimize friction 4. Attach a weight to one end of the tape (The weight should be heavy and low in volume for us to be able to neglect air resistance), hold the tape do2 2 vi 2-1 Put the tape through the locker, and make sure it go above the round carbon paper. Connect the Tape Timer to the power supply and choose frequency 60,50 T=1/60 s, for example. ![]() We will compare this value obtained from experiment with the true value, which is 9.81m/s2 Procedure 1. 2 Once we get a set of the coordinate pairs (t, v) for a bunch of dots, we can do a scatter plot, and the graph should be a straight line, or roughly a straight line Once we get the line, we can pick two points on the line to calculate the slope: Slope = And this slope is just the gravitational acceleration we are trying to find. Using a formula to express this, it's the following: Vwhere do is the distance between dot No. Since this tape timer will make dots on a tape, and the time intervals are all equal between any two adjacent dots, if we number them starting from 0, then 12, 3, 4., the instantaneous velocity at dot 1 is just the average speed for the period between 0 and 2. The instantaneous velocity at any time t can be found by calculating the average speed of a given period with this time in the middle. Given the frequency of the tape timer, the time interval between any two adjacent tapping (dots on the tape) is just 1/1, which is the period T. A motion is free fall when gravity is the only force acting on the object under study In the lab, if we drop an object (with small surface but relatively large mass) from rest and neglect air resistance, the motion of this object can be considered as free fall Since free fall is a constant accelerating motion, we can use the following formula for final velocity V, Vita't This obviously is a linear equation (velocity vs, time) with initial velocity "v" being the y-intercept and all being the slope So to measure the acceleration of a free- fall motion, which is the gravitational acceleration g, we just need to find the slope of the straight line on a velocity vs time graph. Theory We know that the acceleration of an object doing free-fall is just the gravitational acceleration. ![]() If they are not in a vacuum then the air will resist the fall these bodies, its effect more evident on the lighter feather, which will take longer to get to the ground.Lab #2 Free Fall- Gravitational Acceleration, g Objective The purpose of this experiment is to measure gravitational acceleration near the surface of the earth. The fact is that if both, the hammer and feather, were in a vacuum, they would fall at the same velocity. However, common sense is wrong on this occasion. Common sense tells us that a heavy object, such as a hammer, should fall faster than a light object, for example a feather. If you understand the formulas that we have seen so far, you may be wondering Where is mass in these formulas?. Notice that, once the simulation is started, you can slide the time t(s) and see how, under the label Data, the corresponding values of position ( y) and velocity ( v) are calculated, as the body falls to the ground. You can drag it to the initial height H that you want and then press the Play button to drop it The blue ball in the figure represents a body suspended above the ground.
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