16-23. The motor turns gear A so that its angular velocity

Chapter 17, Problem 16-23

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QUESTION:

16-23. The motor turns gear A so that its angular velocity increases uniformly from zero to 3000 rev/min after the shaft turns 200 rev. Determine the angular velocity of gear D when / = 3 s. The radii of gears A, B. C, and D are rA = 25 mm. rR = 100 mm, rc = 40 mm. and rD = 100 mm. respectively.

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QUESTION:

16-23. The motor turns gear A so that its angular velocity increases uniformly from zero to 3000 rev/min after the shaft turns 200 rev. Determine the angular velocity of gear D when / = 3 s. The radii of gears A, B. C, and D are rA = 25 mm. rR = 100 mm, rc = 40 mm. and rD = 100 mm. respectively.

ANSWER:

Step 1 of 3

The angular acceleration of the gear A remains constant. It can be represented as,

                                                     

For , , , .

                                                 

 

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