Estimate the magnitude of the angular momentum of a bowling ball spinning at 7 r

Question

Estimate the magnitude of the angular momentum of a bowling ball spinning at 7 rev/s as shown in the figure. SOLVE IT Conceptualize Imagine spinning a bowling ball on the smooth floor of a bowling alley. Because a bowling ball is relatively heavy, the angular momentum should be relatively large. Categorize We evaluate the angular momentum, so we categorize this example as a substitution problem. We start by making some estimates of the relevant physical parameters and model the ball as a uniform solid sphere. A typical bowling ball might have a mass of 7.0 kg and a radius of 12 cm. A bowling ball that rotates about the : axis in the direction shown has an angular momentum L in the positive : direction. If the direction of rotation is reversed, L points in the negative : direction.

Explanation / Answer

(a) L=1.7584 kgm2/s

so L= 2 kgm2/s (To two significant figures)

(b)moment of inertia of tirei= 1/2 mr2

i=1/2 (20)(0.25)2.

i=0.625 kgm2

V= 30 mph= 13.4m/s

v= rw , so w= v/r

w= 13.4/0.25= 53.7 rad/s

now angular momentum= L= iw

L=0.625(53.7)

L=33.5 kgm2/s

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