Rank the angular speed of the following objects, from highest to lowest: - A bow

Question

Rank the angular speed of the following objects, from highest to lowest: - A bowling ball of radius 12.2 cm rotating at 8.76 radians per second. - A tire of radius 0.541 m rotating at 86.3 rpm. - A 5.84 cm diameter top spinning at 245 degrees per second. - A square, with sides 0.875 m long, whose corners are moving with tangential speed 3.48 m/s as it rotates about its center. - A rock on a string, being swung in a circle of radius 0.167 m with a centripetal acceleration of 9.76 m/s2

from the highst angular speed >>>>> to the lwoest angular speed ...

Explanation / Answer

Formula for Angular speed v = r W

Bowling ball, v1 = 0.122 * 8.76 = 1.068 m/s

tire , v2 = 0.541 * 86.3* 2pi/60 = 4.889 m/s

for top, v3 = (0.0584/2) *245 * (2pi/360) = 0.124 m/s

for Square, V4 = 0 no angular speed

for rock, v = dsqrt(ar) = sqrt(0.167 * 9.76) = 1.27 m/s

so the order is

tire > rock > ball > top > square

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