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 0.660 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 17.8 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

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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 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 0.660 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 17.8 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
50.5 em
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 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 0.660 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 17.8 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 50.5 em Tread kg m?
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