A flywheel with a radius of 0.600m starts from rest and accelerates with a const

Question

A flywheel with a radius of 0.600m starts from rest and accelerates with a constant angular acceleration of 0.600rad/s2 .

Part C

Compute the magnitude of the resultant acceleration of a point on its rim at the start.

Part D

Compute the magnitude of the tangential acceleration of a point on its rim after it has turned through 60.0 ?.

Part E

Compute the magnitude of the radial acceleration of a point on its rim after it has turned through 60.0 ?.

Part G

Compute the magnitude of the tangential acceleration of a point on its rim after it has turned through 120.0 ?.

Explanation / Answer

c)

at the start W=0

radial acceleration

arad=rW2 =0

Tangential acceleration

atan=r*alpha=0.6*0.6 =0.36 m/s2

resultant acceleration

a=sqrt[arad2+atan2]=0.36 m/s2

d)

x=theta

at x=pi/3 rad

Tangential acceleration is constant

atan=0.36 m/s2

e)

W2=Wo2+2*alpha*dx =0+2*0.6*(pi/3)

W=1.12 rad/s

radial acceleration

arad=W2r =1.122*0.6

arad=0.7526 m/s2

g)

Tangential acceleration

atan=0.36 m/s2

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