PHYExperiment 5

# Data radius of the bob ? 094cm length of the string

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Data Radius of the bob, λ= 0.94cm Length of the string, ρ=59.9cm Other data values on data sheet attached.

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Data Analysis The following calculations were made throughout the experiment: Average time (s) = Sum of times/ Number of Values = 14.19s Average Experimental Period (τ e )
=Sum of average periods (τ e )/Number of values= 1.567 Standard Deviation of Experimental period (σ τe )= 0.00674 Percentage Error in Experimental Period =100 %( στe/ Te) =0.43% Note: Error< 0.5% a. σ λ = 0.1cm, σ ρ = 0.01cm b. L= λ+ρ, =60.84cm c. g =4π 2 (L/τ 2 ) =9.77m/s 2 d. σ L =1.0624m/s 2 e. Error in g = σ g =0.103m/s 2 d=|g e -g th | =0.022 m/s 2 σ d = σ τ e 2 + σ τ c 2 =Error in d =0.0104m/s 2 Discussion

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Table of Results Starting Angle 5 o Average length of string (λ) 0.678m Average diameter of bob (ρ) 0.0251m Experimental Period 1.567 Percentage error in experimental period 0.43% L 60.8cm % σ L 0.072% % σ g 1.06% % σ L/g 1.062% d 0.222 σ d 0.1039 The parameters that dictate the period of the pendulum are as follows: the initial velocity of the bob, the length of the string, the angle at which the ball is dropped, air resistance, the plane of motion, and the weight of the system as a whole. The intended target for the two results d and σ d to agree within experimental error was that d<σ d . From the data analysis above, it can be seen that the two results do agree within experimental error as d is less than σ d. You can combine errors by using the error propagation in Appendix C of the lab manual. You can then use the most suitable formula to find the error in the function.
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• Fall '11
• batcheldor
• Physics, Test method, Observational error, Doug Cramer

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