**Instructions for Problem Solving: Dental Drill Acceleration**A dentist using a dental drill brings it from rest to a maximum operating speed of 352,000 rpm in 4.0 seconds. Assume that the drill accelerates at a constant rate during this time.**(a) Question:**What is the angular acceleration of the drill in \(\text{rev/s}^2\)?- **Answer field:** [Input box for answer] rev/s\(^2\)**(b) Question:**Find the number of revolutions the drill bit makes during the 4.0-second time interval.- **Answer field:** [Input box for answer] rev **Explanation:**To solve these problems, use the following concepts:1. **Angular acceleration:** - Angular acceleration (\( \alpha \)) is the rate of change of angular velocity. - Formula: \( \alpha = \frac{\Delta \omega}{\Delta t} \), where \( \Delta \omega \) is the change in angular velocity and \( \Delta t \) is the time interval.2. **Conversion from rpm to rev/s:** - Angular velocity in rev/s can be found by converting rpm to rev/s. - Use: 1 rpm = \(\frac{1}{60}\) rev/s.3. **Finding revolutions:** - The number of revolutions (θ) made by the drill can be determined using the equation for motion under constant acceleration: - \( \theta = \omega_i t + \frac{1}{2} \alpha t^2 \), where \( \omega_i \) is the initial angular velocity (which is 0 in this case as it starts from rest). These calculations will lead to the solution for each part of the problem.

Given Initial angular speed = 0 Final angular speed = 352000 rpm Time taken = 4 s Acceleration of…

A dentist using a dental drill brings it from rest to maximum operating speed of 352,000 rpm in 4.0 s. Assume that the drill accelerates at a constant rate during this time. (a) What is the angular acceleration of the drill in rev/s2? | rev/s² (b) Find the number of revolutions the drill bit makes during the 4.0 s time interval. rev

A dentist using a dental drill brings it from rest to maximum operating speed of 352,000 rpm in 4.0 s. Assume that the drill accelerates at a constant rate during this time. (a) What is the angular acceleration of the drill in rev/s2? | rev/s² (b) Find the number of revolutions the drill bit makes during the 4.0 s time interval. rev

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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