An automobile tire is shown in the figure below. The tire is made of rubber with a uniform density of 1.10 x 103 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 0.615 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 22.6 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 kg - m2

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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 × 103 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 0.615 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 22.6 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
kg • m2
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 × 103 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 0.615 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 22.6 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 kg • m2
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