A flywheel with a radius of 0.260m starts from rest and accelerates with a const

Question

A flywheel with a radius of 0.260m starts from rest and accelerates with a constant angular acceleration of 0.750rad/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

a) tang acc = r*alpha = 0.195

rad acc = 0

resultant acc = 0.195

b) tang acc = r*alpha = 0.195

radial acc = r*omega^2

where omega, w^2- w0^2 = 2*alpa*theta

w^2 = 2*0.75*60*2pi/3

w^2 = 3.14

so radial acc = 3.14*.26 = 0.81

resultant acc = sqrt(radial acc^2 + tang acc^2 ) = 0.83

c)

tang acc = r*alpha = 0.195

radial acc = r*omega^2

where omega, w^2- w0^2 = 2*alpa*theta

w^2 = 2*0.75*120*2pi/3

w^2 = 6.28

so radial acc = 6.28*.26 = 1.62

resultant acc = sqrt(radial acc^2 + tang acc^2 ) = 1.63

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