A disk starts from rest and rotates about a fixed axis with an angular acceleration…

PHYSICS · Subjective · AP · Physics 1: Algebra-based · Torque and Rotational Dynamics · Torque and Rotational Dynamics

Problem

A disk starts from rest and rotates about a fixed axis with an angular acceleration that varies with time according to

\alpha(t)=3t\,\text{rad/s}^2

. A dot of paint on the disk is located

0.20\,\text{m}

from the axis. Determine the magnitude of the paint dot’s total linear acceleration (combining tangential and centripetal components) at

t=3.0\,\text{s}