Problem/Question: How do you measure the acceleration of a falling object?

Hypothesis: by measuring velocities of a falling ball then applying the data into equations numerous times, the results should approach to the acceleration.

Procedure:
1) Set second photo gate 50 cm. from the first photo gate which will be 10cm. (second hole) from the bottom of the tower. 2) Connect the photo gate that is on top to number 1 and the photo gate that is on the bottom to number 2. 3) Place clay ball directly above first photo gate and drop. 4) Record results and repeat five times.

Data:

Observations:
1) The ball changes every time that is dropped
2) The ball is dropped in a different manner every time.
3) The time the ball takes to drop changes every time.

Conclusion:
How do you measure the acceleration due to gravity? The data showed that the times are never the same, but they are close enough. My hypothesis was correct because this method can be used to measure free fall and the acceleration due to gravity. The problem I had with this lab was that the balls where dropped in a different way every time which would yield varying results. The next time I perform this lab I would try to drop the ball the same way.

...Calculating for accelerationdue to gravity using a picket fence in freefall
R. Cajucom, J. Suarez, and J. Villanueva
Performed 9 September 2015; submitted 16 September 2015
Abstract-Limit the abstract to four to five sentences stating the following: (a) statement of the problem, (b) methodology, (c) pertinent results, and (d) conclusion. Avoid numbers and symbols in the abstract.
After you have written the abstract, write the title. In not more than 13 words, choose a title that would reflect your abstract. To do this you may use the “variable-method” structure, e.g. “Measuring a car’s acceleration using a pendulum.” Here the variable is the gravitational acceleration and the method is the simple pendulum. Another way is to use the “dependent-independent variable” structure, e.g. “Angular displacement of a pendulum in an accelerating car.” Here the dependent variable is the angular displacement of a pendulum and the dependent variable is the car’s acceleration. Note: do not mention any keyword in the title that you will never discuss in your report. A title is a promise that you must keep. (9)
I. INTRODUCTION
The main purpose of the introduction is to give a motivation for the problem in the laboratory experiment performed. There are many ways to do this. One way is to start with mention something familiar to your reader, then slowly...

...Determination of the AccelerationDue to Gravity
By A Good Student
Abstract
The accelerationdue to gravity, g, was determined by dropping a metal bearing and measuring the free-fall time with a pendulum of known period. The measured value is 9.706 m/s2 with a standard deviation of 0.0317, which does not fall within the range of known terrestrial values. Centrifugal forces and altitude variations cannot account for the discrepancy. The calculation is very sensitive to the measured drop time, making it the likely source of error.
(Short, sweet and to the point. I give the result, method and comment on its agreement or validity.)
Theory
(First, some background. Be sure to cover any non-numerical aspects of the theory that you wish to address. )
The accelerationdue to gravity is the acceleration experienced by an object in free-fall at the surface of the Earth, assuming air friction can be neglected. It has the approximate value of 9.80 m/s2, although it varies with altitude and location. The gravitational acceleration can be obtained from theory by applying Newton’s Law of Universal Gravitation to find the force between the Earth and an object at its surface. Newton’s Law of Universal Gravitation for the force between two...

...Physics 211 Experiment 1: FreeFall - Determining the acceleration of gravity
Prior to Lab: Derive the numbered equations (Equations 1, 2 and 3) in the lab instructions using the definitions of velocity and acceleration (a=dv/dt and v=dy/dt).
Object: The object of this experiment is to determine the value of the acceleration of gravity by measuring the rate of acceleration of a freely falling object. In addition, one will be able to compare theory with experiment for constantly accelerated motion.
Discussion: An object dropped near the earth’s surface will accelerate uniformly with the accelerationdue to gravity (g) toward the earth. The magnitude of g at the Berks Campus is 9.801 m/s2. Thus according to the equation describing motion for a uniformly accelerated object, its position y as a function of time t is
[pic] (1)
where down is assumed to be the positive direction and its initial position is at the origin of the coordinate system used. A graph of this equation would yield a parabolic curve as shown in the example below.
The speed can be determined from the equation (1) by differentiating the displacement equation with respect to time yielding
[pic] (2)
which when graphed is the straight line as shown
[pic]...

...Measurement of Free-FallAcceleration
Introduction
Galileo Galilei (1564-1642), the man first accredited with the correct notion of free-fall with uniform acceleration, stated that 'if one were to remove entirely the resistance of the medium, all materials would descend with equal speed.' Today, this statement holds true for all objects in free-fall near the Earth's surface. The purpose of this experiment is to verify Galileo's assertion that acceleration is constant. In addition, the magnitude of acceleration will be calculated.
Theory
By definition, acceleration is the rate of change of velocity with respect to time. Instantaneous acceleration is the derivative of velocity with respect to time.
a(t) = dv / dt.
Average acceleration is the change in velocity during a time interval, Dt, divided by the length of that interval,
aave = Dv / Dt.
In this experiment, average acceleration of gravity will be determined by measuring the change in position of a falling object at regularly timed intervals. With this, average velocities for these intervals will be calculated. A graph of the average velocities versus time should give a straight line whose slope is the acceleration of gravity (g).
Apparatus
To determine the...

...AccelerationDue to Gravity
Have you ever wondered why items always speed up when they are falling? Well it all has to do with accelerationdue to gravity. Acceleration is the rate at which an object changes its velocity. Acceleration can be calculated by finding the change in velocity and dividing it over the time. The equation is: a= ∆v∆t (“Acceleration”)Acceleration is also a vector because it has a direction. The units of acceleration are typically m/s2. Gravity is the force that attracts an object toward the center of the earth, or toward any other physical body having mass. There is also the Inverse Square Law that proposes that the force of gravity acting between any two objects is inversely proportional to the square of the separation distance between the object's centers (F=Gmmr2). Gravity is the force that causes acceleration. When you use both of them you get accelerationdue to gravity which is the acceleration for any object moving under the sole influence of gravity. On earth the accepted value of accelerationdue to gravity is -9.8 m/s2 (“Free-fall”). Gravity changes in certain places such as it...

...this experiment is to measure acceleration on a freely falling object assuming the only force acting on the object is gravitational force.
Theory
All dense objects in freefall have the same acceleration, which is known as the accelerationdue to gravity. The value of accelerationdue to gravity is approximately 9.80 m/s2. In this experiment, a vertical stand with an electromagnet at the top for holding and then releasing of the falling body, called the plummet. The plummet falls between two vertical wires, a spark timer applies a high voltage across the two wires at uniform intervals of 1/60s. The resulting spark jumps the gaps between the plummet and the wires, passing through a strip of heat sensitive paper. The spark leaves a visible mark on the paper.
We then measure the distance between successive marks on the paper. Knowing the time interval between sparks, we can calculate a set of average velocities for the plummet using the definition:
v = Dx
Dt
It can be shown that the average velocity during any time interval is equal to the instantaneous velocity at the midpoint in time of the interval, provided that the acceleration is constant during the time interval. The set of average velocities described above may then be treated as a set of instantaneous velocities. Once...

...the Acceleration of FreeFall
•Aim: To test the validity of the equation of motion and obtain a value for g
•Equipment: A ball, ruler, a stopwatch
•Principle: sf = si + ui*t + ½at2
•Process:
1. Time how long the ball takes to fall from a maximum possible height. Record your result.
2. Repeat the measurement multiple times in order to obtain a more accurate result.
3. Repeat the experiment for several different heights spread evenly throughout a range of heights.
Time/s
Height/m
T1
T2
T3
T4
T5
Average T
0.6±0.05
0.39
0.35
0.41
0.34
0.36
0.37±0.04
0.8±0.05
0.42
0.44
0.42
0.41
0.39
0.42±0.03
1.0±0.05
0.43
0.49
0.49
0.43
0.47
0.46±0.03
1.2±0.05
0.48
0.50
0.48
0.52
0.50
0.50±0.02
1.5±0.05
0.59
0.53
0.60
0.54
0.57
0.57±0.04
2H
T2
1.2±0.1
0.14±0.03
1.6±0.1
0.18±0.03
2.0±0.1
0.21±0.03
2.4±0.1
0.25±0.02
3.0±0.1
0.32±0.04
•Analysis
Independent variable: Height
Dependant variable: Time taken to fall
Control variables: Shape, size, mass and material of the ball. The initial speed of the ball
si =o, ui =0, so h= 1/2gt2
The graph of 2H and t2 is a straight line, and the slope of the line is the value for g.
•Conclusion
g=9.32m/s2
•Error analysis
1. The air resistance works.
2. The reaction needs time.
Distance(m)
±0.005
Time (s)±0.01
1
2
3
4
5
0.6600
Distance(m)
±0.005
Average time (s)
Value of gravity
0.5000
0.44±0.07
1.0000...

...
Acceleration of Gravity Using Smart Timers:
To calculate the acceleration of gravity using the Smart Timers
Steven Ge
AP Physics B1, Per. 7, JSerra Catholic High School
Advisor: Mr. Darling, Dana.
Sep 11, 2014
Abstract
The purpose of this lab is to calculate the acceleration of gravity using the Smart Timers. Drops of ball of equal size and start drops at one hundred centimeter height, the amount of time was counted used the Smart Timers. Repeat the same procedure ten times; the amount of times was counted used the Smart Timers.
After compared these data were compared, result is the data has about 0.01-second error. The most likely reason is the height is not constant, the each ball drops from approximately one hundred-centimeter height.
Theory
The height of a free falling object can be calculated using the following formula: Y = Y0 + V0t – 1/2 * gt2, Note: Y – Y0 =the height. Using this formula, it will be up to solve for “g” and show that formula: g = 2(Y – Y0)/ t2. Follow the formula Y – Y0 =the height, so the Y – Y0 = 100cm. Then using the times data that got from the tests. The result of calculates, it got the several different “g”, take an average. Throw out an extremely large or small value.
Hypothesis
This lab was designed to calculate the acceleration of gravity using the Smart...

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