**Problem Statement:**A drill is moving at 6 rad/s when it speeds up at 2 rad/s² for 3 seconds. Find the angular velocity at the end of the problem.**Options:**- A) 12 rad/s- B) 40 rad/s- C) 4 rad/s- D) 1 rad/s**Explanation:**To solve the problem, we can use the formula for angular velocity under constant angular acceleration:\[ \omega_f = \omega_i + \alpha \times t \]Where:- \( \omega_f \) = final angular velocity,- \( \omega_i \) = initial angular velocity = 6 rad/s,- \( \alpha \) = angular acceleration = 2 rad/s²,- \( t \) = time = 3 s.Calculating the final angular velocity:\[ \omega_f = 6 \, \text{rad/s} + (2 \, \text{rad/s}^2 \times 3 \, \text{s}) = 6 \, \text{rad/s} + 6 \, \text{rad/s} = 12 \, \text{rad/s} \]Thus, the correct answer is A) 12 rad/s.

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Answered: A drill is moving at 6 rad/s when it…

Science

Physics

A drill is moving at 6 rad/s when it speeds up at 2 rad/s² for 3 s. Find the angular velocity at the end of the problem

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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