### Physics Problem on Rotational Motion: Motorcycle Wheel Dynamics**Problem Overview:**Consider an **11.0 kg motorcycle wheel** shown in the figure.![Motorcycle Wheel Diagram](#)Assume it to be approximately an annular ring with an inner radius of \( R_1 = 0.280 \, \text{m} \) and an outer radius of \( R_2 = 0.440 \, \text{m} \). The motorcycle is on its center stand, so that the wheel can spin freely.### Given Data:- **Mass of the wheel**: \( 11.0 \, \text{kg} \)- **Inner radius**: \( R_1 = 0.280 \, \text{m} \)- **Outer radius**: \( R_2 = 0.440 \, \text{m} \)- **Force exerted by the drive chain**: \( 2320 \, \text{N} \)- **Radius where the force is applied**: \( 5.00 \, \text{cm} \) (or \( 0.050 \, \text{m} \))### Questions:**(a)** If the drive chain exerts a force of \( 2320 \, \text{N} \) at a radius of \( 5.00 \, \text{cm} \), what is the angular acceleration (in \( \text{rad/s}^2 \)) of the wheel?\[ \boxed{\text{rad/s}^2} \]**(b)** What is the tangential acceleration (in \( \text{m/s}^2 \)) of a point on the outer edge of the tire?\[ \boxed{\text{m/s}^2} \]**(c)** How long (in \( \text{s} \)), starting from rest, does it take to reach an angular velocity of \( 80.0 \, \text{rad/s} \)?\[ \boxed{\text{s}} \]---### Explanation of Diagrams:**Diagram Analysis:**- The diagram shows a cross-sectional view of the motorcycle wheel annotated with key parameters including radii \( R_1 \) and \( R_2 \), and the point where the force \( F \) is applied.- \( \alpha \) denotes the angular parameters

Answered: Image /qna-images/answer/0a51c4f3-1bd4-4b7f-af18-b1910c4574ac.jpg

ssume it to be approximately an annular ring with an inner radius of R, = 0.280 m and an outer radius of R, = 0.440 m. The motorcycle is on its center stand, so that the wheel can spin freely. a) If the drive chain exerts a force of 2320 N at a radius of 5.00 cm, what is the angular acceleration (in rad/s?) of the wheel? rad/s² b) What is the tangential acceleration (in m/s?) of a point on the outer edge of the tire? ]m/s² c) How long (in s), starting from rest, does it take to reach an angular velocity of 80.0 rad/s?

ssume it to be approximately an annular ring with an inner radius of R, = 0.280 m and an outer radius of R, = 0.440 m. The motorcycle is on its center stand, so that the wheel can spin freely. a) If the drive chain exerts a force of 2320 N at a radius of 5.00 cm, what is the angular acceleration (in rad/s?) of the wheel? rad/s² b) What is the tangential acceleration (in m/s?) of a point on the outer edge of the tire? ]m/s² c) How long (in s), starting from rest, does it take to reach an angular velocity of 80.0 rad/s?

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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