In a planetary geartrain with a form factor of 8, the sun gear rotates clockwise at 5 rad⁄s and the ring gear rotates clockwise at 12 rad⁄s. at what speed does the carrier gear rotate? a. 12.9 rad⁄s clockwise b. 12.9 rad⁄s counterclockwise c. 11.2 rad⁄s counterclockwise d. 11.2 rad⁄s clockwise e. 5.8 rad⁄s clockwise

D. N= 11. 22 rad/s (CW)

Explanation:

Given that

Form factor R = 8

Speed of sun gear = 5 rad/s (CW)

Speed of ring gear = 12 rad/s (CW)

Lets take speed of carrier gear is N

From Algebraic method ,the relationship between speed and form factor given as follows

here negative sign means that ring and sun gear rotates in opposite direction

Lets take CW as positive and ACW as negative.

Now by putting the values

N= 11. 22 rad/s (CW)

So the speed of carrier gear is 11.22 rad/s clockwise.

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