**Educational Content on Angular and Linear Acceleration**---**Problem Statement:**Your computer has an optical disk drive that can spin up to 10,000 rpm (which is about 1045 rad/s). If a certain disk is spun at 352.9 rad/s during the time it is being read, and then comes to rest over 0.569 seconds, what is the magnitude of the average angular acceleration of the disk?- **Average Angular Acceleration:** _______ rad/s²**Follow-up Question:**If the disk is 0.12 m in diameter, what is the magnitude of the linear acceleration of a point 1/3 of the way out from the center of the disk?- **Linear Acceleration:** _______ m/s²**Additional Tools:**- A calculator or computational tool might be required to solve for the angular and linear acceleration.**Guidance:**1. **Understanding Angular Acceleration:** - Angular acceleration (\(\alpha\)) can be calculated using the formula: \[ \alpha = \frac{\Delta \omega}{\Delta t} \] where \(\Delta \omega\) is the change in angular velocity and \(\Delta t\) is the time taken for this change.2. **Understanding Linear Acceleration:** - Linear acceleration (a) at a radius (r) from the center of rotation is given by: \[ a = \alpha \times r \] - For this problem, calculate \(r = \frac{0.12 \, \text{m}}{2} \times \frac{1}{3}\) since the point is 1/3 of the way from the center.**Tools Section:**- The "Tools" dropdown might provide computational assistance, particularly for applying powers of ten in calculations (e.g., \(x10^y\)).**Calculation Steps:**1. Calculate \(\Delta \omega\) = \(-352.9 \, \text{rad/s}\) (since it comes to rest, final angular velocity is 0).2. Divide by the time interval, \(\Delta t = 0.569 \, \text{s}\), to find \(\alpha\).3. Use \(\alpha\) and the radius to find the linear acceleration of the specified point.---

According to question we need to find angular acceleration and linear acceleration.

Macmillan Learning Your computer has an optical disk drive that can spin up to 10,000 rpm (which is about 1045 rad/s). If a certain disk is spun at 352.9 rad/s during the time it is being read, and then comes to rest over 0.569 seconds, what is the magnitude of the average angular acceleration of the disk? average angular acceleration: If the disk is 0.12 m in diameter, what is the magnitude of the linear acceleration of a point 1/3 of the way out from the center the disk? linear acceleration: x10 rad/s TOOLS m/s

Macmillan Learning Your computer has an optical disk drive that can spin up to 10,000 rpm (which is about 1045 rad/s). If a certain disk is spun at 352.9 rad/s during the time it is being read, and then comes to rest over 0.569 seconds, what is the magnitude of the average angular acceleration of the disk? average angular acceleration: If the disk is 0.12 m in diameter, what is the magnitude of the linear acceleration of a point 1/3 of the way out from the center the disk? linear acceleration: x10 rad/s TOOLS m/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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