PHYSICS LAB REPORT 5-Samantha Lattuca, Eeman Cheema, Praharshitha Prakash Kumar.

Exercise 1: Data Analysis Fig 1.3 (above): this image shows the calculations to find centripetal acceleration. Exercise 1: Conclusion Three calculations were completed with the results we received from this exercise. For the calculations we used the same formula, but pulled in the values that related to each section. In order to obtain these values, we used the graphs iOLab created. The centripetal acceleration for calculation 1 is 19.48 m/s^2. The centripetal acceleration for calculation 2 is 20.58 m/s^2. Lastly, the centripetal calculation for calculation 3 is 21.64 m/s^2. Based on the results of these calculations, we can see that the centripetal acceleration increased each time Praharshitha threw the iOLab in the air. Exercise 2: Measuring r Directly Using a meter stick, we measure the distance between the center of mass, (G) and Accelerometer, (A).

Raw Data Calculations Ax Uncertainty on AxΔAx Ay Uncertainty on AyΔAx ωz Uncertainty on ωzΔωz ac Uncertainty on acΔac ωz^2 Uncertainty on ωz^2Δwz^2 7.662 m/s^2 0.13 m/s^2 -17.914 m/s^2 0.13 m/s^2 -23.372 rad/s 0.035 rad/s 19.48 m/s^2 2.339 m/s^2 546.25 rad/s^2 2.19 m/s^2 7.77 m/s^2 0.7 m/s^2 -19.057 m/s^2 0.67 m/s^2 -23.646 rad/s 0.12 rad/s 20.58 m/s^2 2.5 m/s^2 559.13 rad/s^2 2.36 m/s^2 7.594 m/s^2 2.5 m/s^2 -20.259 m/s^2 2.5 m/s^2 -22.249 m/s^2 0.88 rad/s 21.64 m/s^2 2.4994 m/s^2 495.02 rad/s^2 1.86 m/s^2 Figure 3.3: The raw data and calculations made for the centripetal acceleration and omega values Exercise 3: Conclusion The uncertainties for the wz values ranged from 2.19 m/s^2 to 1.86 m/s^2, relative to the experimental wz^2 values. The uncertainties for ac were calculated to be 2.339 m/s^2, 2.5 m/s^2, and 2.4994m/s^2. The calculated values are proximate to the experimental values found. Exercise 4: Measuring r by Plotting w vs Ac and w^2 and Ac The goal of this exercise is to measure r by plotting w vs Ac to generate a curved “parabolic” fit or “quadratic” fit. Excel is used to create plots. The data must be set where w is on the x-axis and Ac is on the y-axis (the trendline should be quadratic). A second set of data is to be collected where the plot w^2 on the x-axis and Ac on the y-axis (the trendline should be linear). Exercise 4: Data Collection