# physics

If gear A has 30 teeth and is spinning at 800rpm, gear B has 50 teeth and gear C has 20 teeth and gear D is spinning at 300rpm. How many teeth does gear D have?

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1. rpms if all in a row
If any are on the same shaft. I do not have your picture.
B 800*(30/50)
C 800*(30/50)*(50/20)
D 800*(30/50)*(50/20)*(20/N) = 300

or more easily since all teeth are the same size
800*(30/N) = 300
N = 80

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2. B and C are on the same shaft

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3. Now you tell me !

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4. sorry

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5. B = 800*30/50 = 480 rpm
so
C = 480 rpm
D = 480 (20/N) = 300
N = 32

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6. thank you

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7. You are welcome :)

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8. How exactly does Free Body Diagrams work?

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9. Think of the body all alone in space
Add up all the force vectors on it and equate that to mass times acceleration.

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