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Can someone show me/explain how I can make a graph with the angular acceleration as the horizontal axis vs the torque on the vertical axis
Can someone show me/explain how I can make a graph with the angular acceleration as the horizontal axis vs the torque on the vertical axis - like step by step as every time I make a graph I can't figure out how to get the axises the way I need them to be and with 2 lines on the chart. Below is the lab and the data is in the table
Lab 8 ROTATIONAL INERTIA SIMULATION Purpose: Experimentally determine the relationship between torque, rotational inertia, and angular acceleration Observe the effect of changing moment of inertia on the angular acceleration for the hanging mass - pulley system Materials https://ophysics.com/r5.html Background: Read chapter 10 & 11 in Halliday, see in particular example 10.10 in section 10.7 In general torque is a cross product vector, T = F x F where the position vector F locates the position in space, relative to the rotation axis. But if FIF then (t) = \\ \\FI. This much simpler expression for torque magnitude, along with the convention that 'clockwise torques are negative will suffice to describe torques in the following experiment. Simulation, Analysis and Discussion Questions Part 1: Use the 'falling mass' version of the simulation for all of the following. This will be a controlled experiment to test the effect of varying the torque on the pulley's angular acceleration. As the external force (and therefore the torque) increases, measure the resulting angularacceleration of the pulley. Make at least 5 different measurements of angular acceleration for the 5 different hanging masses. The following non-test variables should be controlled (not changed) throughout part 1: the type of pulley (mass distribution - use the cylindrical shell pulley), the pulley radius - use 0.5 m for part 1, and the pulley mass - use 4kg. These controls should all remain constant throughout part 1 of this experiment. See the example data table / template in the xIsx file on canvas. horizontal vertical Plot the angular acceleration on the vertical-axis vs the torque on the horizontal axis. Write the equation of best fit for this line. What are the units of the slope? What physical quantity does the slope of the line represent ? Note: For parts 1-4 you can put all of the 4 data sets on one graph. There should be a separate curve fit through each set of data. Also create a legend and label each data set based on the pulley radius. Part 2 Repeat part 1, keeping everything the same, except for a new radius of the pulley. Use 1m for the pulley radius in part 2. Add the data from part 2 to the same graph from part 1, and again write the equation of best fit. How does the slope of the line compare with the slope in part 1 ? Part 3 Repeat again, but for a new radius of the pulley. Use 1.5 m for the pulley radius in part 3. Add the data from part 3 to the same graph from part 1, and again write the equation of best fit. How does the slope of the line compare with the slope in part 2? Why has it changed ? Part 4 Repeat again, but for a new radius of the pulley. Use 2 m for the pulley radius in part 4. Add the data from part 4 to the same graph from part 1, and again write the equation of best fit. How does the slope of the line compare with the slope in part 3? Why has it changed ? torque angular acceleration What happened to the slope of the line on the angular-acceleration vs torque plot, as we increase the radius of the pulley? Part 5 The slope of the lines in each of the data series that you've plotted represents the moment of inertia ofindrical shell . Make another plot of I cylindrical shell VS I pulley . Fit a quadratic curve to your data, and write the equation of best fit. What are the units of the coefficient ? What does this coefficient represent? Hint: it's one of the experimental controls. Additional Discussion Questions 1. What is Newton's second law for rotation ? 2. Write the formulas, and also explain in complete sentence(s) the meaning of each term in the formula from 1. 3. Compare the amount of torque required to cause an angular acceleration a = 2 "" for each of the pulley radi. Which requires the greatest torque to cause a = 2 , which requires the least? 4. What is another name for rotational inertia? 5. Write the symbolic expression for the moment of inertia for a cylindrical shell, as a function of the radius of the shell. Which plot shows this relationship ? 6. Briefly explain how the conditions of equilibrium applied to these investigations.Lab 8 Rotational inertia Home Insert Page Layout Formulas Data Review View Cut Calibri (Body) * 12 . A- A Wrap Text General Copy . Paste Format B I U . . Merge & Center . $ % " Conditional Format Cell Insert Delete Format Formatting as Table Styles x Office Update To keep up-to-date with security updates, fixes, and improvements, choose Check for Updates. H2 + X V fx A B C D E F G Tpulley (m) mpulley (kg) m dist a(rad/s m fall T (Nm) a(m/s2) 0.5 4 cylindrical shell 3.92 3.92 1.96 0.5 cylindrical shell 2 6.53 6.53 3.27 0.5 cylindrical shell 8.4 8.4 4.2 0.5 cylindrical shell 9.8 9.8 4.9 OUT 0.5 cylindrical shell 5 10.89 10.89 5.44 cylindrical shell 1 1.96 7.84 1.96 cylindrical shell 2 3.27 13.07 3.27 cylindrical shell 3 4.2 16.8 4.2 AAAAA cylindrical shell 4.9 19.6 4.9 cylindrical shell 5 5.44 21.78 5.44 cylindrical shell H 1.31 11.76 1.96 A cylindrical shell 2 2.18 19.6 3.27 cylindrical shell 3 2.8 25.2 4.2 in inn in cylindrical shell 3.27 29.4 4.9 cylindrical shell 5 3.63 32.67 5.44 cylindrical shell 0.98 15.68 1.96 cylindrical shell 1.63 26.13 3.27 - W N K NNNNN cylindrical shell 2.1 33.6 4.2 cylindrical shell 2.45 39.2 4.9 21 cylindrical shell 5 2.72 43.56 5.44 22 Sheet1 +B C D E F ey (kg) m dist a(rad/s2 m fall T (Nm 4 cylindrical shell 1 3.92 3.92 cylindrical shell 2 6.53 6.53 Chart Title 4 12 4 10 4 4 4 4 4 4 N 4 0 4 N 3 4 5 4 -a(rad/s2) --t (Nm) 4 4 cylindrical shell 2 1.63 26.13 4 cylindrical shell 3 2.1 33.6 A cylindrical shell 4 2.45 39.2 4 cylindrical shell 5 2.72 43.56 Average: 7.908 Count: 12 Sum: 79.08 MacBook Procylindrical shell cylindrical shell cylindrical shell cylindrical shell cylindrical shell cylindrical shell cylindrical shell cylindrical shell cylindrical shell cylindrical shell 1 3.92 3.92 10.89 10.89 1.96 7.84 3.27 13.07 16.8 19.6 21.78 V's-s- 569 Eton 00b 599 can hhhhhhhhhhhhhhhhhhh cylindrical shell 1.31 11.76 cylindrical shell 2.18 19.6 cylindrical shell cylindrical shell cylindrical shell cylindrical shell cylindrical shell cylindrical shell m cylindrical shell cylindrical shell 5 2.72 43.56Step by Step Solution
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