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 0.680 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 16.2 cm. What is the moment of inertia (in kg - m²) of the tire about an axis perpendicular to the page through its center? 33.0 cm 16.5 cm 30.5 cm kg - m² Sidewall Tread

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 0.680 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 16.2 cm. What is the moment of inertia (in kg - m²) of the tire about an axis perpendicular to the page through its center? 33.0 cm 16.5 cm 30.5 cm kg - m² Sidewall Tread

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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Units and Dimensions

These are generally defined as the terms which precede or describes the dimensions further. These are also further divided into two parts namely fundamental units and the derived units.

Question

An automobile tire is shown in the figure. The tire is made of rubber with a uniform density of \(1.10 \times 10^3 \text{ kg/m}^3\). 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 0.680 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 16.2 cm. What is the moment of inertia (in \(\text{kg} \cdot \text{m}^2\)) of the tire about an axis perpendicular to the page through its center?

The diagram depicts a cross-section of the tire:

- The **Sidewall** is marked as a gray ring with an inner radius of 16.5 cm and an outer radius of 30.5 cm.
- The **Tread** is marked as a darker ring with inner and outer radii of 30.5 cm and 33.0 cm, respectively.

A text box is provided to input the answer in \(\text{kg} \cdot \text{m}^2\).

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