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Gear Ratio Calculator >>

2012 BMW 650i 8 speed automatic Gear Ratios Calculator, MPH, Top Speed

 


This calculator outputs the how fast the BMW 650i can go in each gear as calculated by the gear ratios, engine redline and tire size.
The ultimate top speed may be limted by the power, drag and aerodynamics of each individual car.

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Tire Size
(345/30/20)
/ -
OR
Tire Diameter
(inches)
 
Final Drive Ratio
Redline (RPM)
1st Gear
2nd Gear
3rd Gear
4th Gear
5th Gear
6th Gear
7th Gear
8th Gear

RPM 1st Gear 2nd Gear 3rd Gear 4th Gear 5th Gear 6th Gear 7th Gear 8th Gear
500 2.72 4.08 6.06 7.66 9.92 12.8 15.23 19.1
600 3.26 4.89 7.28 9.19 11.9 15.36 18.28 22.92
700 3.8 5.71 8.49 10.73 13.89 17.91 21.33 26.74
800 4.35 6.52 9.7 12.26 15.87 20.47 24.37 30.56
900 4.89 7.34 10.92 13.79 17.86 23.03 27.42 34.38
1000 5.43 8.15 12.13 15.32 19.84 25.59 30.47 38.2
1100 5.98 8.97 13.34 16.86 21.82 28.15 33.51 42.02
1200 6.52 9.78 14.56 18.39 23.81 30.71 36.56 45.84
1300 7.06 10.6 15.77 19.92 25.79 33.27 39.61 49.66
1400 7.61 11.41 16.98 21.45 27.78 35.83 42.65 53.48
1500 8.15 12.23 18.19 22.99 29.76 38.39 45.7 57.3
1600 8.69 13.04 19.41 24.52 31.74 40.95 48.75 61.12
1700 9.24 13.86 20.62 26.05 33.73 43.51 51.79 64.94
1800 9.78 14.67 21.83 27.58 35.71 46.07 54.84 68.76
1900 10.32 15.49 23.05 29.12 37.69 48.63 57.89 72.58
2000 10.87 16.3 24.26 30.65 39.68 51.19 60.94 76.4
2100 11.41 17.12 25.47 32.18 41.66 53.74 63.98 80.22
2200 11.95 17.93 26.68 33.71 43.65 56.3 67.03 84.04
2300 12.5 18.75 27.9 35.25 45.63 58.86 70.08 87.86
2400 13.04 19.56 29.11 36.78 47.61 61.42 73.12 91.68
2500 13.58 20.38 30.32 38.31 49.6 63.98 76.17 95.5
2600 14.13 21.19 31.54 39.84 51.58 66.54 79.22 99.32
2700 14.67 22.01 32.75 41.38 53.57 69.1 82.26 103.13
2800 15.21 22.82 33.96 42.91 55.55 71.66 85.31 106.95
2900 15.76 23.64 35.17 44.44 57.53 74.22 88.36 110.77
3000 16.3 24.45 36.39 45.97 59.52 76.78 91.4 114.59
3100 16.84 25.27 37.6 47.51 61.5 79.34 94.45 118.41
3200 17.39 26.08 38.81 49.04 63.49 81.9 97.5 122.23
3300 17.93 26.9 40.03 50.57 65.47 84.46 100.54 126.05
3400 18.47 27.71 41.24 52.1 67.45 87.02 103.59 129.87
3500 19.02 28.53 42.45 53.64 69.44 89.57 106.64 133.69
3600 19.56 29.34 43.67 55.17 71.42 92.13 109.68 137.51
3700 20.1 30.16 44.88 56.7 73.41 94.69 112.73 141.33
3800 20.65 30.97 46.09 58.23 75.39 97.25 115.78 145.15
3900 21.19 31.79 47.3 59.77 77.37 99.81 118.82 148.97
4000 21.73 32.6 48.52 61.3 79.36 102.37 121.87 152.79
4100 22.28 33.42 49.73 62.83 81.34 104.93 124.92 156.61
4200 22.82 34.23 50.94 64.36 83.33 107.49 127.96 160.43
4300 23.36 35.05 52.16 65.9 85.31 110.05 131.01 164.25
4400 23.91 35.86 53.37 67.43 87.29 112.61 134.06 168.07
4500 24.45 36.68 54.58 68.96 89.28 115.17 137.1 171.89
4600 25 37.49 55.79 70.49 91.26 117.73 140.15 175.71
4700 25.54 38.31 57.01 72.03 93.24 120.29 143.2 179.53
4800 26.08 39.12 58.22 73.56 95.23 122.85 146.24 183.35
4900 26.63 39.94 59.43 75.09 97.21 125.4 149.29 187.17
5000 27.17 40.75 60.65 76.62 99.2 127.96 152.34 190.99
5100 27.71 41.57 61.86 78.16 101.18 130.52 155.38 194.81
5200 28.26 42.38 63.07 79.69 103.16 133.08 158.43 198.63
5300 28.8 43.2 64.29 81.22 105.15 135.64 161.48 202.45
5400 29.34 44.01 65.5 82.75 107.13 138.2 164.52 206.27
5500 29.89 44.83 66.71 84.29 109.12 140.76 167.57 210.09
5600 30.43 45.64 67.92 85.82 111.1 143.32 170.62 213.91
5700 30.97 46.46 69.14 87.35 113.08 145.88 173.66 217.73
5800 31.52 47.27 70.35 88.88 115.07 148.44 176.71 221.55
5900 32.06 48.09 71.56 90.42 117.05 151 179.76 225.37
6000 32.6 48.9 72.78 91.95 119.04 153.56 182.81 229.19
6100 33.15 49.72 73.99 93.48 121.02 156.12 185.85 233.01
6200 33.69 50.53 75.2 95.01 123 158.67 188.9 236.83
6300 34.23 51.35 76.41 96.55 124.99 161.23 191.95 240.65
6400 34.78 52.16 77.63 98.08 126.97 163.79 194.99 244.47
6500 35.32 52.98 78.84 99.61 128.96 166.35 198.04 248.29
6600 35.86 53.79 80.05 101.14 130.94 168.91 201.09 252.11
6700 36.41 54.61 81.27 102.68 132.92 171.47 204.13 255.93
6800 36.95 55.42 82.48 104.21 134.91 174.03 207.18 259.75
6900 37.49 56.24 83.69 105.74 136.89 176.59 210.23 263.57
7000 38.04 57.05 84.9 107.27 138.88 179.15 213.27 267.39
RPM 1st Gear 2nd Gear 3rd Gear 4th Gear 5th Gear 6th Gear 7th Gear 8th Gear





Some additional information on how these are calculated:

When D is the diameter of the tire, the car moves forward a distance πD with each revolution of the tire. If there are F revolutions per unit of time, it moves forward at a speed of πD´F per unit of time. If D is in inches and F is in revolutions per minute (rpm), the above result will be in inches per minute. There are 63,360 inches in a mile and 60 minutes in an hour, so one inch per minute equals 60/63360 miles per hour or 1/1056 mph. So we have the following formula:

V(mph) = D(in) ´ F(rpm) ´ (π/1056)

In the automotive industry, the coefficient 1056/π is usually taken to be equal to 336 (exactly it is 336.1352398...) and the formula corresponding to the above is:

(mph)(gear ratio)(336) = (tire diameter in inches)(rpm)

With the above numerical approximation, both formulas are identical if we consider that (rpm)/(gear ratio) is the rate of rotation of the tires. So the "gear ratio" as the number of rotations of the driveshaft for each turn of the tire. This ratio is normally more than 1, except in overdrive gear. So, calling R the "gear ratio", your final answer is:

V(mph) = D(in) ´ F(rpm) ´ (π/1056) / R

or, approximately: V = (D ´ F) / (336 ´ R)

where V is the velocity (in mph), D the tire diameter (in inches), F the engine rpm, and R the gear ratio.

 


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