EXPERIMENT 1: BALANCING CENTRIPETAL FORCE Data Sheet Table 1. Rotational Data Radius (m) Time per 15 revolutions (s) Period (s) Expected Value Percent Error (%) 0.25 4.97 .33 0.40 6.71 .45 0.15 3.34 .22
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In this experiment, it refers to the expected period (time per revolution) for different radii. Show more…
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Table 1. Period During Uniform Circular Motion at Varying Radii Radius (m) Time per 15 revolutions (s) Period (s) Expected Value Percent Error (%) 0.25 8.52 3.13 s 0.40 8.87 3.96 s 0.15 5.29 2.42 s
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What would be the precision (relative error) of the centripetal force divided by the mass if the velocity and the radius are each determined with a precision of 1%?
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8. Centripetal force Fc = mv^2/r. Recall angular speed ω = 2π/T and linear speed, v = rω. Hence v^2 = r^2ω^2 = 4π^2 r/T^2. Therefore, centripetal force, Fc = 4π^2 mr/T^2. Calculate the centripetal force for your experiment and fill out Table 1. Radius, r (m) | Moving mass, m (kg) | Time period, T (s) | Number of Washers | Force Fc = 4π^2 mr/T^2 1.5 | 25 | 20.1 | 5.0 | 1.5 | 55 | 26.8 | 5.0 | 1.5 | 69 | 30.6 | 5.0 |
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