An ultracentrifuge accelerates from rest to 96200 rpm in 1.95 min. Randomized Variables f = 96200 rpm t = 1.95 min l = 9.2 cm 1)What is its angular acceleration in rad/s2? α = 2)What is the tangential acceleration of a point 9.2 cm from the axis of rotation in m/s2? at = 3)What is the centripetal acceleration in multiples of g of this point at full speed? a/g =

An ultracentrifuge accelerates from rest to 96200 rpm in 1.95 min. Randomized Variables f = 96200 rpm t = 1.95 min l = 9.2 cm 1)What is its angular acceleration in rad/s2? α = 2)What is the tangential acceleration of a point 9.2 cm from the axis of rotation in m/s2? at = 3)What is the centripetal acceleration in multiples of g of this point at full speed? a/g =

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter13: Gravitation

Section: Chapter Questions

Problem 42P: Astronomical observatrions of our Milky Way galaxy indicate that it has a mass of about 8.01011...

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Question

An ultracentrifuge accelerates from rest to 96200 rpm in 1.95 min.

Randomized Variables

f = 96200 rpm
t = 1.95 min
l = 9.2 cm

1)What is its angular acceleration in rad/s²?

α =

2)What is the tangential acceleration of a point 9.2 cm from the axis of rotation in m/s²?

a_t =

3)What is the centripetal acceleration in multiples of g of this point at full speed?

a/g =

Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .

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