Here is the question: A typical laboratory centrifuge rotates at 4000rpm. Test t

Question

Here is the question:

A typical laboratory centrifuge rotates at 4000rpm. Test tubes haveto be placed into a centrifuge very carefully because of the verylarge accelerations.

a) What is the acceleration at the end of a test tube that is 10cmfrom the axis of rotation?

b) For comparison, what is the magnitude of the acceleration a testtube would experience if dropped from a height of 1.0 m and stoppedin a 1.0 ms-long encounter with a hard floor?

c) Find the tangential acceleration of the test tube if thecentrifuge takes 4 seconds to speed up to 4000 rpm.

My problem is with part c. I think I have correctly solved part aand part b.

Part a: acceleration = 1755 m/s2

Part b: acceleration = 4427m/s2

I am uncertain how to calculate part c. Any help would beappreciated.

Explanation / Answer

(c)
radius of circular path , r = 10cm = 0.1 m angular acceleration, = d / dt = 4000 rpm / 4 s= 1000 rpm / s = 1000 * (2 / 60 ) rad / s2                                                                                                      =104.67 rad / s2 tangential acceleration, at = r = 0.1 *104.67 = 10.47m/s2 tangential acceleration, at = r = 0.1 *104.67 = 10.47m/s2

Related Questions

Navigate

• Browse (All)
• Browse H
• Subjects

---