There have been quite a few questions regarding rpm, speed, etc., as it relates gears, transmissions, etc.
As a computer scientist I have written quite a few and there are plenty out there on the web but here is one for the 700R4 transmission.
The program is written in Microsoft Quick Basic which is normally included with Microsoft operating systems. Its name is 700R4.BAS
The thing I like about it is it puts the information in a file called 700R4.dat when you run it. Open the file in Note Pad and print it out. You can see the rpm at any speed in any gear. It doesn't make real good sense to look at 1st gear rpm at 200 mph but the computer will calculate it. What is informative is to examine "normal" shift points in each gear and the rpm at 55 to 65 mph. Then one can examine speed at maximum rpm shift points for racing too.
You can edit the file and change the tire size, rear end gear ratio, etc. You can rename the file while in edit to 200R4 and then put in the transmission ratios for the 200R4. Or copy it into a file called T350, delete the lines for 4th gear, put in the T350 ratios and you have a program to calculate T350 information.
I must have a dozen of these for various transmissions, calculating tire diameter, etc.
PRINT "Input the starting speed"
INPUT SS
PRINT "Input the ending speed"
INPUT ES
TIREDIA = 27.99213
PIE = 3.14159
TIRECIR = PIE * TIREDIA
ISM = 63360
RR = 3.73
GEAR1 = 3.06
GEAR2 = 1.62
GEAR3 = 1!
GEAR4 = .7
OPEN "O", #1, "700R4.DAT"
PRINT #1, TAB(30); "GM 700R4 four speed OD"
PRINT #1, " "
PRINT #1, TAB(10); "With"; GEAR1; "first"; GEAR2; "second"; GEAR3; "third"; GEAR4; "fourth"
PRINT #1, " "
PRINT #1, TAB(10); "Using a"; RR; " rear end ratio and "; TIREDIA; "inch rear tires."
PRINT #1, " "
FOR I = SS TO ES
RPM1 = (ISM / TIRECIR) * RR * GEAR1 * (I / 60)
RPM2 = (ISM / TIRECIR) * RR * GEAR2 * (I / 60)
RPM3 = (ISM / TIRECIR) * RR * GEAR3 * (I / 60)
RPM4 = (ISM / TIRECIR) * RR * GEAR4 * (I / 60)
RPM5 = (ISM / TIRECIR) * RR * GEAR5 * (I / 60)
RPM6 = (ISM / TIRECIR) * RR * GEAR6 * (I / 60)
PRINT #1, I; RPM1; RPM2; RPM3; RPM4
NEXT I
Hope this helps someone as this site has been a great source of information for me.
John