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Bowling Ball Estimate the magnitude of the angular momentum of a bowling ball spinning at 7.9 rev/s as shown in the figure. A bowling ball that rotates about the z axis In the direction shown has an angular momentum Lin the positive z-direction. If the direction of rotation is reversed, L points in the negative z direction. SOLUTION 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 --Select-- Categorize We evaluate the angular momentum using L, - Io, so we categorize this example as --Select-- |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. Evaluate the moment of inertia of the ball about an axis through its center (in kg - m²): ]kg - m² Evaluate the magnitude of the angular momentum from the equation (in kg - m²/s): 4- lo = kg - m/s Because of the roughness of our estimates, we should keep only one significant figure, so rounding L, to one significant figure gives (in kg - m/s): | kg - m²/s EXERCISE Estimate the magnitude of the angular momentum (in kg - m/s) of a car tire (with hub) about its center on a car that is traveling at 55 mph. Use 20 kg for the mass of the tire with hub and assume that the center of the wheel is at a height of 25 cm.

Bowling Ball Estimate the magnitude of the angular momentum of a bowling ball spinning at 7.9 rev/s as shown in the figure. A bowling ball that rotates about the z axis In the direction shown has an angular momentum Lin the positive z-direction. If the direction of rotation is reversed, L points in the negative z direction. SOLUTION 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 --Select-- Categorize We evaluate the angular momentum using L, - Io, so we categorize this example as --Select-- |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. Evaluate the moment of inertia of the ball about an axis through its center (in kg - m²): ]kg - m² Evaluate the magnitude of the angular momentum from the equation (in kg - m²/s): 4- lo = kg - m/s Because of the roughness of our estimates, we should keep only one significant figure, so rounding L, to one significant figure gives (in kg - m/s): | kg - m²/s EXERCISE Estimate the magnitude of the angular momentum (in kg - m/s) of a car tire (with hub) about its center on a car that is traveling at 55 mph. Use 20 kg for the mass of the tire with hub and assume that the center of the wheel is at a height of 25 cm.

College Physics
College Physics
1st Edition
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:Paul Peter Urone, Roger Hinrichs
Chapter10: Rotational Motion And Angular Momentum
Section: Chapter Questions
Problem 15PE: Consider the 12.0 kg motorcycle wheel shown in Figure 10.38. Assume it to be approximately an...
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Bowling Ball Estimate the magnitude of the angular momentum of a bowling ball spinning at 7.9 rev/s as shown in the figure. A bowling ball that rotates about the z axis in the direction shown has an angular momentum L in the positive z-direction. If the direction of rotation is reversed, L points in the negative z direction. SOLUTION 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 ---Select--- Categorize We evaluate the angular momentum using L, = Io, so we categorize this example as --Select--- v 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. Evaluate the moment of inertia of the ball about an axis through its center (in kg - m?): 1=MR? |kg - m2 Evaluate the magnitude of the angular momentum from the equation (in kg - m?/s): 4 = Im = kg - m?/s Because of the roughness of our estimates, we should keep only one significant figure, so rounding L, to one significant figure gives (in kg - m?/s): kg - m2/s EXERCISE Estimate the magnitude of the angular momentum (in kg - m?/s) of a car tire (with hub) about its center on a car that is traveling at 55 mph. Use 20 kg for the mass of the tire with hub and assume that the center of the wheel is at a height of 25 cm. Hint |kg - m²/s Need Help? Read It
Transcribed Image Text:Bowling Ball Estimate the magnitude of the angular momentum of a bowling ball spinning at 7.9 rev/s as shown in the figure. A bowling ball that rotates about the z axis in the direction shown has an angular momentum L in the positive z-direction. If the direction of rotation is reversed, L points in the negative z direction. SOLUTION 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 ---Select--- Categorize We evaluate the angular momentum using L, = Io, so we categorize this example as --Select--- v 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. Evaluate the moment of inertia of the ball about an axis through its center (in kg - m?): 1=MR? |kg - m2 Evaluate the magnitude of the angular momentum from the equation (in kg - m?/s): 4 = Im = kg - m?/s Because of the roughness of our estimates, we should keep only one significant figure, so rounding L, to one significant figure gives (in kg - m?/s): kg - m2/s EXERCISE Estimate the magnitude of the angular momentum (in kg - m?/s) of a car tire (with hub) about its center on a car that is traveling at 55 mph. Use 20 kg for the mass of the tire with hub and assume that the center of the wheel is at a height of 25 cm. Hint |kg - m²/s Need Help? Read It
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