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Damped Oscillations Essay

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Below is an essay on "Damped Oscillations" from Anti Essays, your source for research papers, essays, and term paper examples.

Damped and Undamped Oscillations

Objective Section

Investigate Newton's Laws of motion for undamped and damped motion using pendulum systems of a tennis ball and Styrofoam ball.

  * Styrofoam and tennis ball
  * String
  * Pendulum apparatus
  * DataStudio with motion sensor
  * Graphical Analysis

Procedure Section

For part I, a tennis ball’s dimensions were calculated then connected to a pendulum. The period of oscillation of 6 different rope lengths were graphed to determine the experimental value of gravity. Afterwards, using one common length, 5 different amplitudes were measured and the change in period was observed.

In part II, a Styrofoam ball pendulum system was used to study damped motion. The damping oscillation was obtained from a motion sensor and a DataStudio program. The period, damping constant, time constant, and quality factor were calculated both through Graphical Analysis and manually using the oscillation graph (Appendix A).


Part 1
g ± Δg | 10.09 ± 0.370 m/s2 |

Part 2

Graph estimate | Experimental |
ω | 4.01 rad/s | ω± Δ ω | 3.99 ± 0.011 rad/s |
τ | 58.00 s | τ± Δ τ | 57.90 ± 0.154 s |
Q | 232.48 | Q± Δ Q | 230.85 ± 0.885 |
b | 0.278 | b ±   Δ b | 0.279 ± (0.982) 10-5 |

(For all the data recollected and operation see Appendix A)

Data Analysis
Formulas used:

Part 1
Part 3- Experimental
θ0=RS- R0L


Q= ωτ

Eyeball-Part II
ω=#of oscillationstime
To find decay time τ: find the intersection in on the graph in which given by the value found after:


Error propagation formulas:


Part 3:

ΔQ2=ω Δτ2+τ Δω2



Finding the gravitational values with error in Part I

Finding Angular Frequency for both experimental and estimated values...

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MLA Citation

"Damped Oscillations". Anti Essays. 15 Dec. 2018


APA Citation

Damped Oscillations. Anti Essays. Retrieved December 15, 2018, from the World Wide Web: http://parimatch-stavka7.com/free-essays/Damped-Oscillations-393606.html

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