- Radius 0 06m Centripetal Acceleration Vs The Square Of Angular Speed Graph What Are The Units Of The Slope Does T 1 (51.44 KiB) Viewed 61 times
- What are the units of the slope? Does this value correlate toany dimension on your apparatus?
Centripetal Acceleration vs. the RadiusGraph:
- What are the units of the slope? (Take note that rad/s and 1/shave the same dimensions since the radian is dimensionless).
- Does the slope value correspond to any parameter within yourexperiment?
- How about the square root of the slope?
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- From these graphs, what might be the relationship betweencentripetal acceleration, the square of angular velocity, andradius. Make sure that it is dimensionally consistent.
- Confirm your prediction by comparing it to the equation forcentripetal acceleration. Substitute tangential velocity equationin and create an equation with centripetal acceleration and angularvelocity.
Equation: ,where
_123456789101234567 18 19 20 21 22 23 24 2526 27 28 29 3031323334 35 36 37 38 39 40 41 42 3 U 43 Data Set Radius ✔ V (m) Double-click for Data Set options 0.006 3.843 0.003 2.318 0.001 1.545 Centripetal Acceleration (m/s²) 3.5- 2.5- 1.5- 0 Linear Fitfor: Data Set | Centripetal Acceleration y=mx+b m (Slope): 463.4 m/s²/m b (Y-Intercept): 1.024 m/s² Correlation: 0.9974 RMSE: 0.1186 m/s² لها 0.002 Centripetal Acceleration vs. Radius Ⓒ Radius (m) 0.004 0.006
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 ^^ Data Set X y (rad²/s²) (m/s²) A 12.2 22.24 66.74 0.931 1.531 3.944 Centripetal Acceleration (m/s²) 10- 8- 2- 0- 0 Linear Fitfor: Data Set | Centripetal Acceleration y=mx+b m (Slope): 0.05976 m/s²/rad²/s² b (Y-Intercept): 0.2019 m/s² Correlation: 1.000 RMSE: 0 m/s² 20 Centripetal Acceleration vs Square of Angular Speed Angular Speed (rad²/s²) 40 60