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 12.5 cm rotating at 8.21 radians per second. - A tire of radius 0.321 m rotating at 75.8 rpm. - A 5.34 cm diameter top spinning at 375 degrees per second. - A square, with sides 0.458 m long, whose corners are moving with tangential speed 2.51 m/s as it rotates about its center. - A rock on a string, being swung in a circle of radius 0.521 m with a centripetal acceleration of 25.4 m/s2

Rank the angular speed of the following objects, from highest to lowest: A bowling ball of radius 12.5 cm rotating at 8.21 radians per second. A tire of radius 0.321 m rotating at 75.8 rpm. A 5.34 cm diameter top spinning at 375 degrees per second. - A square, with sides 0.458 m long, whose corners are moving with tangential speed 2.51 m/s as it rotates about its center - A rock on a string, being swung in a circle of radius 0.521 m with a centripetal acceleration of 25.4 m/s2 Highest Angular Speed Bowling Ball Tire Square Top Rock Lowest Angular Speed

Explanation / Answer

here,

for bowling ball , w = 8.21 rad/s

for tire of radius r

w = 75.8 rpm = 75.8*6.28/60

w = 7.93 rad/s

for top spinning

w = 375 degree per seccond

w = 6.54 rad/d

for square

a = 0.458 m

w = v/r = 2.51 /( 0.324)

w = 7.75 rad/s

for rock

radius , r = 0.521 m

centripital accelration , a = 25.4 m/s^2

r * w^2 = 25.4

w = 6.98 rad/s

the decreasing order according to the angular speed is

Bowling ball > tire >square > rock > Top spining

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