This is calculating engine RPM at 70mph, actual 70mph, not what the speedo reads at 70mph which has been reported to be up to 6-7% off stock by some. (However the odo has been reported to be spot on, the speedo is purposely set to read fast due to import laws)
Primary reduction ratio - 86/44 (1.955)
Secondary reduction ratio - 46/16 (2.875)
Gear ratio, 1st gear - 37/13 (2.846)
Gear ratio, 2nd gear - 37/19 (1.947)
Gear ratio, 3rd gear - 28/18 (1.556)
Gear ratio, 4th gear - 32/24 (1.333)
Gear ratio, 5th gear - 25/21 (1.190)
Gear ratio, 6th gear - 26/24 (1.083)
180/55R17 Tire = 24.795" tall
24.795" tall x pi = 77.895" circumference
63,360" inches per mile / 77.895" circumference = 813.40 revolutions per mile and 813.40 revolutions per minute at 60 miles per hour.
70mph = 4,435,200" per hour / 60 minutes per hour = 73,920" per minute
73,920" per minute for 70mph / 77.895" circumference = 948.97 rpm at 70 for the rear wheel
Working from the rear wheel to the crankshaft in,
all at 70 true mph at the rear wheel:
6th gear:
948.97 rpm (at rear wheel) x 2.875 (secondary gear reduction (46/16)) x 1.083 (6th gear (26/24)) x 1.955 (primary reduction ratio (86/44)) =
5776.51rpm at crank
5th gear:
948.97 rpm (at rear wheel) x 2.875 (secondary gear reduction (46/16)) x 1.190 (5th gear (25/21)) x 1.955 (primary reduction ratio (86/44)) =
6347.23 rpm at crank
4th gear:
948.97 rpm (at rear wheel) x 2.875 (secondary gear reduction (46/16)) x 1.333 (4th gear (32/24)) x 1.955 (primary reduction ratio (86/44)) =
7109.96 rpm at crank
3rd gear:
948.97 rpm (at rear wheel) x 2.875 (secondary gear reduction (46/16)) x 1.556 (3rd gear (28/18)) x 1.955 (primary reduction ratio (86/44)) =
8299.39 rpm at crank
2nd gear:
948.97 rpm (at rear wheel) x 2.875 (secondary gear reduction (46/16)) x 1.947 (2nd gear (37/19)) x 1.955 (primary reduction ratio (86/44)) =
10384.92 rpm at crank
1st gear:
948.97 rpm (at rear wheel) x 2.875 (secondary gear reduction (46/16)) x 2.846 (1st gear (37/13)) x 1.955 (primary reduction ratio (86/44)) = 15180.01 rpm at crank (Not possible on FZ6)
To find rpm at a different speed, just take the ratio of the speed you want over 60, and multiply it by 813.40 revolutions per minute. So for example 145mph, 145/60 = 2.4166 x 813.40 = 1965.72 rpm at rear tire at 145mph. Then plug this into one of the above in place of the 948.97.
So for 5th gear @ 145mph:
1965.72 rpm (at rear wheel) x 2.875 (secondary gear reduction (46/16)) x 1.190 (5th gear (25/21)) x 1.955 (primary reduction ratio (86/44)) = 13147.80 rpm at crank
So since the speedo is off by a %, if someone hypothetically is "going" 145 in 5th by the speedo, and they're exactly at 12,000rpm on the tach, they're actually going 132.34mph if the rear tire is not wore down. This would make the speedo happy roughly 9%.
Also, there is evidence the tach is happy by a percentage as well, as described by Hellgate in his post about his cutom dyno tuned map he had done for his FZ when he had it:
.......
A few side notes, 1) our TRUE redline is 13,600, NOT 14,000. Like our speedos the tach is high. The PC3 gives true reading, the Yamaha reading, 14K, is for sales purposes only. ...
So, this is about 3% happy on the tach. I don't feel like calculating all of this into the equation, but you get the general idea.
Is this discussion over yet? :spank:
Also, please correct me if I am wrong. I would appreciate it!