Angular and Linear Acceleration on a Wheel

[PeachBanana]

Homework Statement

A 68 cm diameter wheel accelerates uniformly about its center from 150 rpm to 270 rpm in 4.1 s.

1. Determine its angular acceleration. α = 3.1 rad./s^2

2. Determine the radial component of the linear acceleration of a point on the edge of the wheel 1.6 s after it has started accelerating.

Homework Equations

ω final = ω initial + αt
v final = v initial + at
ω * r = v

The Attempt at a Solution

1. (15.7079 rad./s) + (3.0649 rad./s^2)(1.6s)
ω = 20.61174 rad./s

(20.61174 rad./s)(0.34m) = 7.0079916 m/s (final velocity)
(15.7079 rad./s)(0.34m) = 5.340686 m/s (initial velocity)

7.0079916 m/s - 5.340686 m/s / 1.6 s = 1.042066 m/s^2

 

[tiny-tim]

Hi PeachBanana!

2. Determine the radial component of the linear acceleration of a point on the edge of the wheel 1.6 s after it has started accelerating.

No, I think they're asking for the centripetal acceleration (ω²r).

 

[PeachBanana]

tiny-tim: Thank you so much. That is much clearer now. The way it was worded was strange.