1. The problem statement, all variables and given/known data[/b](adsbygoogle = window.adsbygoogle || []).push({});

The operation of “reverse” for a three-speed automotive transmission is illustrated schematically in the figure.

If the shaft is turning with an angular velocity of Wg= 30 rad/s, determine the angular velocity of the drive shaft H. Each of the gears rotates about a fixed axis. Note that gears A and B , C and D , E and F are in mesh. The radius of each of these gears is reported in the figure.

2. Relevant equations

velocity=w * r (w is angular velocity)

"C:\Users\apoorva\Pictures\gears.jpg"[/URL]

[b]3. The attempt at a solution[/b]

So the angular velocity of shaft G is 30 rad/s.

I know that the velocity of B and A are same.

V[SUB]g[/SUB]=30(0.09)=2.7 m/s=V[SUB]a[/SUB]

W[SUB]a[/SUB]R[SUB]a[/SUB]=W[SUB]b[/SUB]R[SUB]b[/SUB]

2.7/0.03=90 rad/s =Wb

angular velocity of W[SUB]b [/SUB]and W[SUB]c[/SUB] is the same--> 90 rad/s

V[SUB]c[/SUB]=V[SUB]d [/SUB]so W[SUB]c[/SUB]R[SUB]c[/SUB]=W[SUB]d[/SUB]R[SUB]d[/SUB]

90(.3)=W[SUB]d[/SUB](.05)

W[SUB]d[/SUB]=54 rad/s

W[SUB]d[/SUB]R[SUB]d[/SUB]=W[SUB]e[/SUB]R[SUB]e[/SUB]

54(.05)=W[SUB]e[/SUB](.07)

W[SUB]e[/SUB]=38.6 rad/s

W[SUB]e[/SUB]R[SUB]e[/SUB]=W[SUB]f[/SUB]R[SUB]f[/SUB]

38.6(.07)=W[SUB]f[/SUB](.06)

W[SUB]f[/SUB]=45.03 rad/s

Therefore W[SUB]h[/SUB]=45.03 rad/s

But I keep getting the answer wrong and I don't know what I am doing.

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# Homework Help: Angular velocity of three gears attached (showed work)

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