Map Sapling Learning macmilan learning Rank the angular speed of the following o

Question

Map Sapling Learning macmilan learning Rank the angular speed of the following objects, from highest to lowest: - A bowling ball of radius 12.3 cm rotating at 8.76 radians per second. - A tire of radius 0.401 m rotating at 86.3 rpm. - A 6.84 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 or 976 ms Highest Angular Speed Lowest Angular Speed Bowling Bal Squaree Rock Top

Explanation / Answer

for the bowling ball wb = 8.76 rad/s

for tire wt = 86.3*2*3.14/60 = 9.03 rad/s

for top w top = 245*2*3.14/360 = 4.27 rad/s

for square w s = v/r = 3.48/(0.875/sqrt(2)) = 5.62 rad/s

for rock

a = v^2/r = rw^2

w rock = sqrt(a/r) = 7.645 rad/s

w tire> w ball>w rock>w square>wtop

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