Part III For this part, you will see how centripetal acceleration varies with radius by taking data at varying radii whi

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: Part Iii For This Part You Will See How Centripetal Acceleration Varies With Radius By Taking Data At Varying Radii Whi 1 (75.95 KiB) Viewed 14 times

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Part III For this part, you will see how centripetal acceleration varies with radius by taking data at varying radii while keeping the angular velocity constant at 45 rpm. The 45 rpm point from Part II will serve as your first data point for this part. 12. Copy your acceleration and radius values for 45 rpm from Part II to the first line of the data table for Part III. 13. Adjust the position of the sensor. a. Move the acceleration sensor about 3 cm inward toward the center of the turntable. Fasten it securely with the y-axis arrow pointing directly toward the center of the turntable, as shown in Figure 1. b. Measure the distance from the center of the turntable to the edge of the sensor case, at the midline, as indicated by the dashed line on Figure 1. Add to this value the distance from the edge of the case to the accelerometer transducer within the case: 1.2 cm. The resulting value is the distance from the center of the turntable to the transducer. Record this radius in the data table. Set the turntable speed to 45 rpm. 14. 15. Prepare to collect acceleration data at various radii. To do this, you need to shorten the duration of data collection. a. Click or tap mode to open Data Collection Settings. b. Change End Collection to 30 s. Click or tap Done. 16. Collect acceleration data. I
Centripetal Acceleration on a Turntable a. Verify that the acceleration sensor is taped down so that it will not slide off when the turntable spins. b. Click or tap Collect to start data collection. Wait 5 seconds, and then turn on the turntable. c. Wait at least 25 seconds and turn off the turntable. 17. When data collection is complete, a graph of acceleration vs. time is displayed. Examine the displayed graph and determine the average centripetal acceleration. 4 a. Select the region that represents the time when the turntable was rotating. b. Click or tap Graph Tools, and choose View Statistics. Record the value of the mean acceleration, including the algebraic sign, in the data table. c. Dismiss the Statistics box. 18. Move the acceleration sensor inward about 3 cm and tape it to the turntable with the y-axis arrow pointed toward the center. Repeat Steps 16-17 to collect data at the new radius. DATA TABLE Part 1 Speeding up in direction Slowing down in + direction Acceleration in direction of arrow reads Positive Acceleration Negative Acceleration Positive
States) (rpm) 33% 45 Radius (m) Angular speed Part III 78 (optional) (rpm) 45 Physics with Vernier (rad/s) 3.51 Radius (m) 4.71 Angular speed Centripetal Acceleration on a Turntable 0.088 m Centripetal acceleration (m/s²) 108.30 195.42 (rad/s) 4.71 Centripetal acceleration (m/s)
States) Radius (m) Centripetal acceleration (m/s) ANALYSIS 1. Convert angular speed values from rpm (revolutions per minute) to radians per second. Record the new values in the data table. Note: One revolution corresponds to 2 radians. 2. Use Graphical Analysis or graph paper to plot a graph of the centripetal acceleration data collected in Part II vs. the square of angular speed. 3. Fit a straight line that passes through the origin to your data points. What are the units of the slope? Does this value correspond to any dimension on your apparatus? 4. Use Graphical Analysis or graph paper to plot a graph of the centripetal acceleration data collected in Part III vs. the radius. 5. Fit a straight line that passes through the origin to your data points. What are the units of the slope? Does this value correspond to any parameter in your experiment? Note that rad/s and 1/s have the same dimensions, since the radian is dimensionless. Does the slope value correspond to any parameter in your experiment? How about the square root of the slope? 6. From your graphs, propose a relationship between centripetal acceleration, the square of angular velocity, and radius. Verify the relationship is dimensionally consistent. 7. Look up the relationship for centripetal acceleration to confirm your proposal. 8. What was the sign of the centripetal acceleration as measured by the acceleration sensor? Given the sign your sensor reads when accelerating in the direction of the y-axis arrow, is the Focus IVE
Pa PWV 20 Centripetal Acceleration on a Turntable - Part II. ambl Y-axis acceleration (²) Page L 15 10 -10 -15 0 K @ Mode Tina Bed al 10 samples/ Vernier Graphical Analysis 15 Time() 20 There are five runs here with different radi STATISTICS x-range: 0.0-30.0 Ax: 30.000 s Samples 301, Mean: 2.681 m/s Std dev: 0.885 Min: -0.195 m/s²@ 0.800 s Max: 3329 m/s 6400 (B 35 *** locan pe Screenshot 22:00:53:30 14