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PeachBanana
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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