(10%) Problem 1: An ultracentrifuge accelerates from rest to 91500 rpm in 205 mi

Question

(10%) Problem 1: An ultracentrifuge accelerates from rest to 91500 rpm in 205 min. Randomized Variables f=91500rpm t=2.05 min 19.9 cm 33% Part (a) what is its angular acceleration in rad/?? Grade Sum Deductions Potential = 4674.11 sinO cos cotan0 asin0acosO Submission Atlempts rer per atte detailed vie atano acotan sinh0 END ODegrees O Radians BACKSPACE EL CLEAR Hint Feedback: 1% deduction per foodback. Hints: 1% deduction per hint. Hints remaining 33% Part (b) What is the tangential acceleration of a point 9.9 cm from the axis of rotation in m/s2? 33% Part (c) what is the centripetal acceleration in multiples of g of this point at full speed? All coetont 0 2017 apen TA. LIC

Explanation / Answer

a)

From

W=Wo+alpha*t

since it starts from rest Wo=0

91500*(2pi/60)=0+alpha*(2.05*60)

alpha=77.9 rad/sec2

b)

tangential acceleration

at=r*alpha=0.099*77.9

at=7.71 m/s2

c)

Centripetal acceleration

ac=W2r=(91500*2pi/60)2*0.099=9.09*106 m/s2

in terms of g

ac=(9.09*106)/9.8 =9.275*105g

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