Please solve all three parts A 70-cm-diameter wheel accelerates uniformly about
ID: 1448377 • Letter: P
Question
Please solve all three parts
A 70-cm-diameter wheel accelerates uniformly about its center from 130 rpm to 290 rpm in 4.0 s. Determine its angular acceleration. Express your answer using two significant figures. Determine the radial component of the linear acceleration of a point on the edge of the wheel 2.0 s after it has started accelerating. Don't forget that the wheel has an initial angular velocity when it started accelerating. Express your answer using two significant figures. Determine the tangential component of the linear acceleration of a point on the edge of the wheel 2.0 s after it has started accelerating. Express your answer using two significant figures.Explanation / Answer
initial angular speed of wheel = 130 rpm = 130(2)/60 = 13.36 rad/s
angular acceleration of wheel = [(290 - 130)(2/60)]/4.0 = 4.186 rad/s²
Radius of wheel = 70/2 = 35 cm = 0.35 m
wheel's angular speed at 2.0 s = w = 13.36+4.186(2.0)= 13.36+4.14 = 21.73 rad/s
radial component of linear acceleration of circumference of wheel after 2.0 s:
Ar = w²R = (21.73)²(0.35) = 1349.12 m/s² ANS