Question

Part B: Shape Races small radius solid aluminum disk mass 95.2 g diameter 38 mm large radius solid aluminum disk mass 95.6 g diameter 49 mm small radius solid copper disk mass 285.7 g diameter 38 mm hollow ring mass 23.8 g outer diameter 49 mm inner diameter 44 mm solid sphere mass measured together with hollow ring 200.2 g diameter 50 mm

Make a table for all five objects in terms of their 1) shape constant [from textbook, no uncertainty], 2) radius, 3) mass, and 4) moment of inertia. Be sure to include uncertainties. If the quantity needs to be calculated, show one example calculation.

Determine which of the variables (if any) determines the consistent winner of a race. Explain how you came to that conclusion with reference to specific races and their results. Are there any races whose results aren’t explained by your theory?

Did any races not have clear winners? Why might this be? What would you expect the individual trials to look like if you raced an object against a perfect copy of itself on the same setup?

Answer 1

mass moment of inesna object : shape constant 95.2g 1:718 X10 kg - m² solid Disk 2 15.69 2.869x10. ugom solid Disk Small Radius Solid aluminium disx Large Radius solid aluminium drsk Small Radius Sou'd 2 -5 5:1 X10 -W solid Disk R85.79 kg copper disk 2 123.8g 0.3x10-5 kg-m hollow Ring sold sphense hollow Ring solid sphere 2 6 1176.4 g .5 5 81o. kg-m Example: Solid Dis*) I solid disk MR? x0.0456\x{24+5x10} -5 2 M = 2.869 X10 kg- There is incomplete information of the race. So I assume it to be inclined Rachius of gyration determines the winning of Race ess! .so, the solid-sphene who the will as it has ininimum a=gsino R (1+) The Results are not given in the question but I don't think the Result will be affected unless the track is completely fiction less. If we race an exact body with its copy, then both will win as they would have same Radius of gysation. Here, we find that mass & Radius does not decide who wins the race.