It is generally a good idea to gain an understanding of the \"size\" of units. E

Question

It is generally a good idea to gain an understanding of the "size" of units. Either using an interner searcg or refferring to the hint panle below, find the official size and masses of the sports balls listed below and calculate their moments of interia about thier center of mass. Rounding your results to the nearest power of 10, category each of the sports balls according to the order of magnitude of the moment of interia. (Note that some of the balls are hollow.) As aphysics demonstration, you want a special bowing ball made to demonstrate exactly 1 kg m2, so that your students can rotate the ball about its center of mass to get a "feel" for how "big" 1 kg m2 is. The bowling balls most familiar to your students has weight of 15.6pounds and have a circumsference of 25.5 inches, but do not have a moment-of-interia equal to 1 kg m2. Since the sporting goods manufacturer has no understanding of how "big" 1 kg m2 is, calculate the diameter of the demo bowling ball (in inches) it will need to manufacture. Assume that bowling balls are solid, with a constant density.

Explanation / Answer

1) 2.37 mph = 1.05948m/s so KE = 0.5 * 29.6 x 10 ^ -3 * 1.05948^2 = 0.0166 J 2) 14.8 lbs = 6.71317 kg 10.52 mph = 4.70286 m/s KE = 74.237 J 3 ) 1958 lbs = 888.134 kg 31.30 mph = 13.9924 m/s KE = 86942.66 J

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