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 12.3cm rotating at 8.76 radians per second. - A tire of radius 0.541m rotating at 86.3rpm. - A 4.09cm diameter top spinning at 245 degrees per second. - A square, with sides 0.875m long, whose corners are moving with tangential speed 3.48m/s as it rotates about its center. - A rock on a string, being swung in a circle of radius 0.167m with a centripetal acceleration of 9.76m/s^2

PrintalculatorPeriodic Table Question 4 of 7 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 0.541 m rotating at 86.3 rpm. A 4.09 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 Highest Angular Speed Lowest Angular Speed Rock Top Bowing Ball Square Tire Previous Give Up & View Solution Check AnxExit ext Hint

Explanation / Answer

here,

for bowling ball , w = 8.76 rad/s

for tire of radius r

w = 86.3 rpm = 86.3*6.28/60

w = 9.03 rad/s

for top spinning

w = 245 degree per seccond

w = 4.27 rad/d

for square

a = 0.875 m

w = v/r = 3.48 /( 0.618)

w = 5.63 rad/s

for rock

radius , r = 0.167 m

centripital accelration , a = 9.76 m/s^2

r * w^2 = 9.76

w = 7.645 rad/s

the decreasing order according to the angular speed is

tire > Bollowing ball > rock > squre > Top spining

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