### Problem Analysis1. **Angular Motion** A wheel has a constant angular acceleration of \(3.00 \, \text{rad/sec}^2\). In a \(4.00\) second interval, it turns through an angle of \(120\) radians. Assuming the wheel started from rest, determine how long it had been in motion at the start of this \(4.00\) second interval.2. **Torque and Angular Acceleration** A force, \( F = 3 \, \text{N} \), acts on a cube at a point with a radial vector, \( \mathbf{r} = 3 \mathbf{i} + 3 \mathbf{k} \). Refer to the diagram. If the moment of inertia of a cube of edge \(a\) about an edge is given as \( I = \frac{2}{3} m L^2 \), find the angular acceleration of the cube around the z-axis.### Diagram DescriptionThe diagram depicts a cube situated in a 3D coordinate system with axes labeled \(x\), \(y\), and \(z\). The radial vector \(\mathbf{r}\) extends from the origin to a point on the cube, with components 3i and 3k, indicating that the vector is directed diagonally in the x-z plane.---This educational material assists students in understanding concepts related to angular motion and rotational dynamics, specifically focusing on angular acceleration and its relation to force and inertia.

Answered: Image /qna-images/answer/82cb6506-b535-4e6e-a786-fbffc88ac291.jpg

1. A wheel has a constant angular acceleration of 3.00 rad/sec2. In a 4.00 second interval it turns through an angle of 120 radians. Assuming the wheel started from rest, how long had it been in motion at the start of this 4.00 second interval?

1. A wheel has a constant angular acceleration of 3.00 rad/sec2. In a 4.00 second interval it turns through an angle of 120 radians. Assuming the wheel started from rest, how long had it been in motion at the start of this 4.00 second interval?

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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