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 Internet search, or referring to the hint panel below, find the official size and masses of the sports balls listed below and calculate their moments of inertia about their center of mass. Rounding your results to the nearest power of 10, categorize each of the sports balls according to the order of magnitude of the moment of inertia. (Note that some of the balls are hollow.) As a physics demonstration, you want a special bowling ball made to demonstrate exactly 1 kg - m^2, so that your students can rotate the ball about its center of mass to get a "feel" for how "big" 1 kg - m^2 is. The bowling balls most familiar to your students has a weight of 15.4 pounds and have a circumference of 25.5 inches, but do not have a moment-of-inertia equal to 1 kg - m^2. Since the sporting goods manufacturer has no understanding of how "big" 1 kg - m^2 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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