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An automobile tire is shown in the figure below. The tire is made of rubber with a uniform density of 1.10 x 10° kg/m³. The tire can be modeled as consisting of two flat sidewalls and a tread region. Each of the sidewalls has an inner radius of 16.5 cm and an outer radius of 30.5 cm as shown, and a uniform thickness of 0.605 cm. The tread region can be approximated as having a uniform thickness of 2.50 cm (that is, its inner radius is 30.5 cm and outer radius is 33.0 cm as shown) and a width of 16.6 cm. What is the moment of inertia (in kg · m2) of the tire about an axis perpendicular to the page through its center? Sidewall 33.0 cm 16.5 cm 30.5 cm Tread 1.18 X You seem to have modeled the tread region as a very thin cylinder with a radius egual to the outer radius of the tread It would

An automobile tire is shown in the figure below. The tire is made of rubber with a uniform density of 1.10 x 10° kg/m³. The tire can be modeled as consisting of two flat sidewalls and a tread region. Each of the sidewalls has an inner radius of 16.5 cm and an outer radius of 30.5 cm as shown, and a uniform thickness of 0.605 cm. The tread region can be approximated as having a uniform thickness of 2.50 cm (that is, its inner radius is 30.5 cm and outer radius is 33.0 cm as shown) and a width of 16.6 cm. What is the moment of inertia (in kg · m2) of the tire about an axis perpendicular to the page through its center? Sidewall 33.0 cm 16.5 cm 30.5 cm Tread 1.18 X You seem to have modeled the tread region as a very thin cylinder with a radius egual to the outer radius of the tread It would

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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An automobile tire is shown in the figure below. The tire is made of rubber with a uniform density of 1.10 × 10° kg/m³. The tire can be modeled as consisting of two flat sidewalls and a tread region. Each of the sidewalls has an inner radius of 16.5 cm and an outer radius of 30.5 cm as shown, and a uniform thickness of 0.605 cm. The tread region can be approximated as having a uniform thickness of 2.50 cm (that is, its inner radius is 30.5 cm and outer radius is 33.0 cm as shown) and a width of 16.6 cm. What is the moment of inertia (in kg · m²) of the tire about an axis perpendicular to the page through its center? Sidewall 33.0 cm 16.5 cm 30.5 cm Tread 1.18 X You seem to have modeled the tread region as a very thin cylinder with a radius equal to the outer radius of the tread. It would be more accurate to treat the tread region as a cylinder of nonzero thickness, with an inner radius at the edge of the sidewall and outer radius at the edge of the tread, kg · m-
Transcribed Image Text:An automobile tire is shown in the figure below. The tire is made of rubber with a uniform density of 1.10 × 10° kg/m³. The tire can be modeled as consisting of two flat sidewalls and a tread region. Each of the sidewalls has an inner radius of 16.5 cm and an outer radius of 30.5 cm as shown, and a uniform thickness of 0.605 cm. The tread region can be approximated as having a uniform thickness of 2.50 cm (that is, its inner radius is 30.5 cm and outer radius is 33.0 cm as shown) and a width of 16.6 cm. What is the moment of inertia (in kg · m²) of the tire about an axis perpendicular to the page through its center? Sidewall 33.0 cm 16.5 cm 30.5 cm Tread 1.18 X You seem to have modeled the tread region as a very thin cylinder with a radius equal to the outer radius of the tread. It would be more accurate to treat the tread region as a cylinder of nonzero thickness, with an inner radius at the edge of the sidewall and outer radius at the edge of the tread, kg · m-
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