A physics professor stands at the centre of a frictionless turntable with arms outstretched and a 7.75 kg dumbbell in each hand as shown in the following figure. He is set rotating about the vertical axis at 1.65 revolution per second. Find his final angular velocity if he pulls the dumbbells into his stomach. His moment of inertia (without the dumbbells) is 4.3 kgm? with arms outstretched and 2.2 kgm? with his hands at his stomach. The dumbbells are 1.3 m from the axis initially and 0.2 m at the end. Dumbbell Dumbbell Professor (not a dumbbell) BEFORE AFTER Insert the final angular velocity in revolutions per second correct up to at least a third decimal place.

A physics professor stands at the centre of a frictionless turntable with arms outstretched and a 7.75 kg dumbbell in each hand as shown in the following figure. He is set rotating about the vertical axis at 1.65 revolution per second. Find his final angular velocity if he pulls the dumbbells into his stomach. His moment of inertia (without the dumbbells) is 4.3 kgm? with arms outstretched and 2.2 kgm? with his hands at his stomach. The dumbbells are 1.3 m from the axis initially and 0.2 m at the end. Dumbbell Dumbbell Professor (not a dumbbell) BEFORE AFTER Insert the final angular velocity in revolutions per second correct up to at least a third decimal place.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Clutches, Brakes, Couplings, and Flywheels

The clutch is described as a machine element used to connect or disconnect two shafts together to transmit torque or power. The clutch works on the principles of friction. The clutch is commonly used in automobiles to transfer power from the driving shaft to the driven shaft.

Question

A physics professor stands at the centre of a frictionless turntable with arms outstretched and a 7.75 kg dumbbell in each hand as
shown in the following figure. He is set rotating about the vertical axis at 1.65 revolution per second. Find his final angular
velocity if he pulls the dumbbells into his stomach. His moment of inertia (without the dumbbells) is 4.3 kgm² with arms
outstretched and 2.2 kgm? with his hands at his stomach. The dumbbells are 1.3 m from the axis initially and 0.2 m at the end.
Dumbbell
Dumbbell
Professor
(not a
dumbbell)
BEFORE
AFTER
Insert the final angular velocity in revolutions per second correct up to at least a third decimal place.

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