A flywheel with a radius of 0.370m starts from rest and accelerates with a const

Question

A flywheel with a radius of 0.370m starts from rest and accelerates with a constant angular acceleration of 0.790rad/s2 .

Part A: Compute the magnitude of the tangential acceleration, the radial acceleration, and the resultant acceleration of a point on its rim at the start.

Part B:Compute the magnitude of the tangential acceleration, the radial acceleration, and the resultant acceleration of a point on its rim after it has turned through 60.0?.

Part C:Compute the magnitude of the tangential acceleration, the radial acceleration, and the resultant acceleration of a point on its rim after it has turned through 120?.

Explanation / Answer

part A: tangential accleration and angular accleration are related by the formula

alpha = a/r

so

a = alpha * r

a = 0.79 * 0.37

a = 0.2923 m/s^2

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radial accleration a = W^2 r

here W = 0

so

radial accleration = 0

--------------------------

where theta = 60 deg

theta = 60 * pi/180

theta = pi/3 = 1.046 rad

use theta   = Wt + 0.5 alphs t^2

find t first,, then use Wf = Wi + Alpha t

finally use Ar = Wi^2 r

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