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Gear Ratio Calculator >>

2013 BMW M5 6 speed manual Gear Ratios Calculator, MPH, Top Speed

 


This calculator outputs the how fast the BMW M5 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 3.16 5.34 8.11 10.77 12.81 14.73 0 0
600 3.79 6.41 9.73 12.92 15.37 17.67 0 0
700 4.42 7.47 11.35 15.07 17.94 20.62 0 0
800 5.05 8.54 12.97 17.23 20.5 23.56 0 0
900 5.68 9.61 14.6 19.38 23.06 26.51 0 0
1000 6.31 10.68 16.22 21.53 25.62 29.45 0 0
1100 6.94 11.74 17.84 23.68 28.18 32.4 0 0
1200 7.57 12.81 19.46 25.84 30.75 35.34 0 0
1300 8.2 13.88 21.08 27.99 33.31 38.29 0 0
1400 8.84 14.95 22.7 30.14 35.87 41.23 0 0
1500 9.47 16.01 24.33 32.3 38.43 44.18 0 0
1600 10.1 17.08 25.95 34.45 41 47.12 0 0
1700 10.73 18.15 27.57 36.6 43.56 50.07 0 0
1800 11.36 19.22 29.19 38.76 46.12 53.01 0 0
1900 11.99 20.28 30.81 40.91 48.68 55.96 0 0
2000 12.62 21.35 32.43 43.06 51.25 58.9 0 0
2100 13.25 22.42 34.06 45.22 53.81 61.85 0 0
2200 13.88 23.49 35.68 47.37 56.37 64.79 0 0
2300 14.52 24.56 37.3 49.52 58.93 67.74 0 0
2400 15.15 25.62 38.92 51.68 61.49 70.68 0 0
2500 15.78 26.69 40.54 53.83 64.06 73.63 0 0
2600 16.41 27.76 42.16 55.98 66.62 76.57 0 0
2700 17.04 28.83 43.79 58.14 69.18 79.52 0 0
2800 17.67 29.89 45.41 60.29 71.74 82.46 0 0
2900 18.3 30.96 47.03 62.44 74.31 85.41 0 0
3000 18.93 32.03 48.65 64.59 76.87 88.35 0 0
3100 19.56 33.1 50.27 66.75 79.43 91.3 0 0
3200 20.2 34.16 51.89 68.9 81.99 94.24 0 0
3300 20.83 35.23 53.52 71.05 84.55 97.19 0 0
3400 21.46 36.3 55.14 73.21 87.12 100.13 0 0
3500 22.09 37.37 56.76 75.36 89.68 103.08 0 0
3600 22.72 38.43 58.38 77.51 92.24 106.02 0 0
3700 23.35 39.5 60 79.67 94.8 108.97 0 0
3800 23.98 40.57 61.62 81.82 97.37 111.91 0 0
3900 24.61 41.64 63.25 83.97 99.93 114.86 0 0
4000 25.24 42.7 64.87 86.13 102.49 117.81 0 0
4100 25.88 43.77 66.49 88.28 105.05 120.75 0 0
4200 26.51 44.84 68.11 90.43 107.62 123.7 0 0
4300 27.14 45.91 69.73 92.59 110.18 126.64 0 0
4400 27.77 46.97 71.35 94.74 112.74 129.59 0 0
4500 28.4 48.04 72.98 96.89 115.3 132.53 0 0
4600 29.03 49.11 74.6 99.05 117.86 135.48 0 0
4700 29.66 50.18 76.22 101.2 120.43 138.42 0 0
4800 30.29 51.25 77.84 103.35 122.99 141.37 0 0
4900 30.92 52.31 79.46 105.51 125.55 144.31 0 0
5000 31.55 53.38 81.08 107.66 128.11 147.26 0 0
5100 32.19 54.45 82.71 109.81 130.68 150.2 0 0
5200 32.82 55.52 84.33 111.96 133.24 153.15 0 0
5300 33.45 56.58 85.95 114.12 135.8 156.09 0 0
5400 34.08 57.65 87.57 116.27 138.36 159.04 0 0
5500 34.71 58.72 89.19 118.42 140.92 161.98 0 0
5600 35.34 59.79 90.81 120.58 143.49 164.93 0 0
5700 35.97 60.85 92.44 122.73 146.05 167.87 0 0
5800 36.6 61.92 94.06 124.88 148.61 170.82 0 0
5900 37.23 62.99 95.68 127.04 151.17 173.76 0 0
6000 37.87 64.06 97.3 129.19 153.74 176.71 0 0
6100 38.5 65.12 98.92 131.34 156.3 179.65 0 0
6200 39.13 66.19 100.54 133.5 158.86 182.6 0 0
6300 39.76 67.26 102.17 135.65 161.42 185.54 0 0
6400 40.39 68.33 103.79 137.8 163.98 188.49 0 0
6500 41.02 69.39 105.41 139.96 166.55 191.43 0 0
6600 41.65 70.46 107.03 142.11 169.11 194.38 0 0
6700 42.28 71.53 108.65 144.26 171.67 197.32 0 0
6800 42.91 72.6 110.27 146.42 174.23 200.27 0 0
6900 43.55 73.67 111.9 148.57 176.8 203.21 0 0
7000 44.18 74.73 113.52 150.72 179.36 206.16 0 0
7100 44.81 75.8 115.14 152.87 181.92 209.1 0 0
7200 45.44 76.87 116.76 155.03 184.48 212.05 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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