**Problem Statement**A person is riding a bicycle, and its wheels have an angular velocity of 21.0 rad/s. Then, the brakes are applied and the bike is brought to a uniform stop. During braking, the angular displacement of each wheel is 17.5 revolutions. **Questions:**1. How much time does it take for the bike to come to rest?2. What is the angular acceleration (in rad/s²) of each wheel?**Breakdown:**- Initial Angular Velocity (ω₀): 21.0 rad/s- Final Angular Velocity (ω): 0 rad/s (since the bike comes to a stop)- Angular Displacement (θ): 17.5 revolutions - Note: To convert revolutions to radians, use the conversion factor \(1 \text{ revolution} = 2\pi \text{ radians}\).The following key formulas from rotational kinematics will be used:1. **Angular Displacement Formula:** \[ \theta = \omega_0 t + \frac{1}{2} \alpha t^2 \] where \( \theta \) is the angular displacement, \( \omega_0 \) is the initial angular velocity, \( \alpha \) is the angular acceleration, and \( t \) is the time.2. **Angular Velocity Formula:** \[ \omega = \omega_0 + \alpha t \] where \( \omega \) is the final angular velocity. By using these equations, we can solve for the time \( t \) and angular acceleration \( \alpha \).

A person is riding a bicycle, and its wheels have an angular velocity of 21.0 rad/s. Then, the brakes are applied and the bike is brought to a uniform stop. During braking, the angular displacement of each wheel is 17.5 revolutions. (a) How much time does it take for the bike to come to rest? (b) What is the anguar acceleration (in rad/s²) of each wheel?

A person is riding a bicycle, and its wheels have an angular velocity of 21.0 rad/s. Then, the brakes are applied and the bike is brought to a uniform stop. During braking, the angular displacement of each wheel is 17.5 revolutions. (a) How much time does it take for the bike to come to rest? (b) What is the anguar acceleration (in rad/s²) of each wheel?

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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