**Problem Statement for Rotational Kinematics**An engine starts at 100 rad/s of angular velocity and uniformly accelerates to 400 rad/s in 9.5 seconds. Find the total angle rotated during this time, in radians (rad).**Hint:** Use the rotational kinematics formula. Assume the initial angle is zero.---This problem focuses on understanding and applying the principles of rotational kinematics. If initially, the angular velocity (ω₀) is 100 rad/s and the final angular velocity (ω) is 400 rad/s, with a time duration (t) of 9.5 seconds, you can use the following kinematic equation to find the total angle (θ) rotated:\[ \theta = \omega_0 t + \frac{1}{2} \alpha t^2 \]Where:- ω₀ is the initial angular velocity- ω is the final angular velocity- α is the angular acceleration- t is the time durationSince the problem involves a uniformly accelerated rotation, it's also necessary to determine the angular acceleration (α) using the formula:\[ \alpha = \frac{\omega - \omega_0}{t} \]

According to rotational kinematics Change in angular velocity= Change in angle(rad) /…

An engine starts at 100 rad/s of angular velocity and uniformly accelerates to 400 rad/s in 9.5 s. Find the total angle rotated during this time, in rad. Hint: use rotational kinematics formula. Assume initial angle as zero.

An engine starts at 100 rad/s of angular velocity and uniformly accelerates to 400 rad/s in 9.5 s. Find the total angle rotated during this time, in rad. Hint: use rotational kinematics formula. Assume initial angle as zero.

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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