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Map sapling learning It is generally a good idea to gain an understanding of the

ID: 1367653 • Letter: M

Question

Map sapling learning 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.) sane o' the bais ar magitude of the moment of imertia. (Note that 10-5 kgm2 0kgm2 0-3kgm2 02 kg m2 0-kgm2 1 kg m2 golf ball tennis ballvolleyba soccen soccer ball bowling ball As a physics demonstration, you want a special bowling ball made to demonstrate exactly 1 kg m2, so that our students can rotate the ball about its center of mass to get a "feel" for how "big" 1 kq. m2 is. The bowling alls most familiar to your students has a weight of 16.0 pounds and have a circumference of 25.9 inches, but do not have a moment-of-inertia 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. Number in

Explanation / Answer

here,

weight of the ball , w = 16 pounds

let the radius of demo ball be r


circumference , C = 2 * pi*r

25.9 = 2*pi*r

r = 4.12 inch

the diameter of the demo ball , d = 2*r

d = 8.25 inch

the diameter of the demo bowling ball is 8.25 m