lab 4

Height of Incline 2 (opposite side) = .07 m Angle of Incline 2, θ 2 = sin -1 (h/L) = 5.271 Data Table 2 Trial Distanc e Object Travele d, s Time, Δt Experiment al acceleratio n, a* 1 0.762 1.47 0.705 2 0.762 1.38 0.8 3 0.762 1.43 0.745 4 0.762 1.39 0.789 Average Experimental Acceleration, a 2 in m/s 2 0.76 Experimental Acceleration due to Gravity, g 1 in m/s 2 0.643 To find the average first you will have to find the experimental acceleration of each trial then add them all together and divide by the number of trials which is 4 so .705+.8+.745+.789=3.039 so 3.039/4=.76 simplified to three decimals Incline 3 Length of incline 3 (hypotenuse) = .762 m Height of Incline 3 (opposite side) = .105 m Angle of Incline 3, θ 3 = sin -1 (h/L) = 7.92 Data Table 3 Trial Distanc e Object Travele d, s Time, Δt Experiment al acceleratio n, a* 1 0.762 1.09 1.283 2 0.762 1.11 1.237 Page 3 of 7

Error Analysis 1. Using the Experimental Acceleration due to Gravity values from each data table, Data Tables 1, 2, and 3; determine the Standard Deviation, σ, mean, μ, variance, σ 2 and the 95% Margin of Error (Confidence Level). s/d mean 95% moe 0.393 0.401 0.397 0.405 0.0051639 8 0.399 3.79 0.705 0.8 0.745 0.789 0.0435536 1 0.76 4.76 1.283 1.237 1.113 1.194 0.0722974 2 1.207 5.67 2. Using the 95% Margin of Error (Confidence Level) values for the Experimental Acceleration due to Gravity determine the % error. % error = (| A – E |/A) x. Show calculations. So in the first set of trials we get (|.399-.321|/.399)100=19.55% In the second set we get(|.76-.643|/.76)100=15.39% And in the last we ger (|1.207-.965|/1.207)100=20.05% Questions 1. Theoretically which incline angle should provide a more accurate result and why? The incline angle that would theoretically be most accurate would be the smallest angle. this is because the time gives us more room to be more accurate than the others do because the time is much less in the other two. 2. Based on your data, which incline angle provided a more accurate result? Is this in agreement with the theoretical angle? If not, explain why. The incline that had the most accurate result was the smallest angle which was the result that I had expected. Page 6 of 7