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Gear Ratio Calculator >>

2011 BMW M3 E90 M3 manual Gear Ratios Calculator, MPH, Top Speed

 


This calculator outputs the how fast the BMW M3 E90 M3 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 2.56 4.38 6.57 8.72 10.38 11.93 0 0
600 3.07 5.25 7.88 10.46 12.45 14.31 0 0
700 3.58 6.13 9.19 12.21 14.53 16.7 0 0
800 4.09 7 10.51 13.95 16.6 19.08 0 0
900 4.6 7.88 11.82 15.69 18.68 21.47 0 0
1000 5.11 8.76 13.13 17.44 20.75 23.85 0 0
1100 5.62 9.63 14.45 19.18 22.83 26.24 0 0
1200 6.13 10.51 15.76 20.93 24.9 28.62 0 0
1300 6.64 11.38 17.07 22.67 26.98 31.01 0 0
1400 7.16 12.26 18.39 24.41 29.05 33.39 0 0
1500 7.67 13.13 19.7 26.16 31.13 35.78 0 0
1600 8.18 14.01 21.01 27.9 33.2 38.16 0 0
1700 8.69 14.88 22.33 29.64 35.28 40.55 0 0
1800 9.2 15.76 23.64 31.39 37.35 42.93 0 0
1900 9.71 16.64 24.95 33.13 39.43 45.32 0 0
2000 10.22 17.51 26.27 34.88 41.5 47.7 0 0
2100 10.73 18.39 27.58 36.62 43.58 50.09 0 0
2200 11.24 19.26 28.89 38.36 45.65 52.47 0 0
2300 11.76 20.14 30.21 40.11 47.73 54.86 0 0
2400 12.27 21.01 31.52 41.85 49.8 57.24 0 0
2500 12.78 21.89 32.83 43.59 51.88 59.63 0 0
2600 13.29 22.76 34.15 45.34 53.95 62.01 0 0
2700 13.8 23.64 35.46 47.08 56.03 64.4 0 0
2800 14.31 24.52 36.77 48.83 58.1 66.78 0 0
2900 14.82 25.39 38.09 50.57 60.18 69.17 0 0
3000 15.33 26.27 39.4 52.31 62.25 71.56 0 0
3100 15.84 27.14 40.71 54.06 64.33 73.94 0 0
3200 16.36 28.02 42.03 55.8 66.4 76.33 0 0
3300 16.87 28.89 43.34 57.54 68.48 78.71 0 0
3400 17.38 29.77 44.65 59.29 70.55 81.1 0 0
3500 17.89 30.64 45.97 61.03 72.63 83.48 0 0
3600 18.4 31.52 47.28 62.78 74.7 85.87 0 0
3700 18.91 32.4 48.59 64.52 76.78 88.25 0 0
3800 19.42 33.27 49.91 66.26 78.85 90.64 0 0
3900 19.93 34.15 51.22 68.01 80.93 93.02 0 0
4000 20.44 35.02 52.53 69.75 83 95.41 0 0
4100 20.96 35.9 53.85 71.5 85.08 97.79 0 0
4200 21.47 36.77 55.16 73.24 87.15 100.18 0 0
4300 21.98 37.65 56.47 74.98 89.23 102.56 0 0
4400 22.49 38.53 57.79 76.73 91.3 104.95 0 0
4500 23 39.4 59.1 78.47 93.38 107.33 0 0
4600 23.51 40.28 60.41 80.21 95.45 109.72 0 0
4700 24.02 41.15 61.73 81.96 97.53 112.1 0 0
4800 24.53 42.03 63.04 83.7 99.6 114.49 0 0
4900 25.04 42.9 64.35 85.45 101.68 116.87 0 0
5000 25.56 43.78 65.67 87.19 103.76 119.26 0 0
5100 26.07 44.65 66.98 88.93 105.83 121.64 0 0
5200 26.58 45.53 68.29 90.68 107.91 124.03 0 0
5300 27.09 46.41 69.61 92.42 109.98 126.41 0 0
5400 27.6 47.28 70.92 94.16 112.06 128.8 0 0
5500 28.11 48.16 72.23 95.91 114.13 131.18 0 0
5600 28.62 49.03 73.55 97.65 116.21 133.57 0 0
5700 29.13 49.91 74.86 99.4 118.28 135.95 0 0
5800 29.64 50.78 76.17 101.14 120.36 138.34 0 0
5900 30.16 51.66 77.49 102.88 122.43 140.73 0 0
6000 30.67 52.53 78.8 104.63 124.51 143.11 0 0
6100 31.18 53.41 80.11 106.37 126.58 145.5 0 0
6200 31.69 54.29 81.43 108.11 128.66 147.88 0 0
6300 32.2 55.16 82.74 109.86 130.73 150.27 0 0
6400 32.71 56.04 84.05 111.6 132.81 152.65 0 0
6500 33.22 56.91 85.37 113.35 134.88 155.04 0 0
6600 33.73 57.79 86.68 115.09 136.96 157.42 0 0
6700 34.24 58.66 87.99 116.83 139.03 159.81 0 0
6800 34.76 59.54 89.31 118.58 141.11 162.19 0 0
6900 35.27 60.41 90.62 120.32 143.18 164.58 0 0
7000 35.78 61.29 91.93 122.06 145.26 166.96 0 0
7100 36.29 62.17 93.25 123.81 147.33 169.35 0 0
7200 36.8 63.04 94.56 125.55 149.41 171.73 0 0
7300 37.31 63.92 95.87 127.3 151.48 174.12 0 0
7400 37.82 64.79 97.19 129.04 153.56 176.5 0 0
7500 38.33 65.67 98.5 130.78 155.63 178.89 0 0
7600 38.84 66.54 99.82 132.53 157.71 181.27 0 0
7700 39.36 67.42 101.13 134.27 159.78 183.66 0 0
7800 39.87 68.29 102.44 136.02 161.86 186.04 0 0
7900 40.38 69.17 103.76 137.76 163.93 188.43 0 0
8000 40.89 70.05 105.07 139.5 166.01 190.81 0 0
8100 41.4 70.92 106.38 141.25 168.08 193.2 0 0
8200 41.91 71.8 107.7 142.99 170.16 195.58 0 0
8300 42.42 72.67 109.01 144.73 172.23 197.97 0 0
8400 42.93 73.55 110.32 146.48 174.31 200.35 0 0
8500 43.44 74.42 111.64 148.22 176.38 202.74 0 0
8600 43.96 75.3 112.95 149.97 178.46 205.13 0 0
8700 44.47 76.17 114.26 151.71 180.53 207.51 0 0
8800 44.98 77.05 115.58 153.45 182.61 209.9 0 0
8900 45.49 77.93 116.89 155.2 184.68 212.28 0 0
9000 46 78.8 118.2 156.94 186.76 214.67 0 0
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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