As a physics demonstration, you want a special bowling ball made to demonstrate exactly 1 kgÂ·m2,...

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Physics

As a physics demonstration, you want a special bowling ball madeto demonstrate exactly 1 kgÂ·m2, so that your students can rotatethe ball about its center of mass to get a \"feel\" for how \"big\" 1kgÂ·m2 is. The bowling balls most familiar to your students has aweight of 15.4 pounds and have a circumference of 25.5 inches, butdo not have a moment-of-inertia equal to 1 kgÂ·m2. Since thesporting goods manufacturer has no understanding of how \\"big\\" 1kgÂ·m2 is, calculate the diameter of the demo bowling ball (ininches) it will need to manufacture. Assume that bowling balls aresolid, with a constant density.

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4.3 Ratings (882 Votes)

let r be the radius and m is the mass then the moment of inertia of a solid sphere isÂ Â I = 2mr² / 5

1 = 2/5 * ( 6.93 * r²)Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 1 pound = 0. 45 kg

r = 0.6 m Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 15.4 pounds = 6.93 kg

therefore the diameter should be d=2r = 1.2 m

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