Car transmissions can look complicated, and the actual
working can seem to be even more complicated. A conventional constant mesh gear
box consists of an input shaft from the engine, a counter shaft and a main
shaft which delivers power to the differential via propeller shaft. To know
more in detail about the working of a constant mesh gearbox, please visit the
page on the following link:
As you can see in the diagram, a 4-speed constant mesh
gearbox consists of a set of 11 gears (including the gears between the input
shaft and the counter shaft). Now let’s calculate the gear ratio between the
gears and how a gear ratio can affect the final drive given to the wheels? How
to calculate the speed of the vehicle?
1st gear:
Let’s say the gear A (driving) has 10 teeth and gear B
(driven) has 35 teeth. Gear ratio is the ratio of number of teeth in the driven
gear to the number of teeth in the driving gear.
Gear ratio = number
of teeth in the driven gear / number of teeth in the driving gear
Therefore, 1st gear ratio can be calculated as
G1 = TB / TA
G1 = 35/10 = 3.5 : 1
TB =
Number of teeth in gear B
TA = Number
of teeth in gear A
The differential has its own gear ratio which is known as
the Differential gear ratio (GD). In this case, let’s assume that GD
= 3.5. Now the GD is fixed
and cannot be altered.
Now to calculate the speed at which the wheels are rotating,
we need to bring into picture the final gear ratio. Final gear ratio decides at
what speed the wheels are driven. It is a product of both transmission gear
ratio and the differential gear ratio together.
Final Gear Ratio (GF) = G1 X GD
GF = 3.5 X 3.5 = 12.25
Yes, I know it is very complicated and you are lost
somewhere in understanding the whole concept. To explain you in simple words, the
final value of GF = 12.25 indicates
that for 12.25 revolutions of the engine crankshaft, the wheels will revolute
only once.
Consider your engine running at 2000 rpm, then wheels will
rotate at (2000/12.25) rpm.
To calculate the
speed of the vehicle:
Let’s consider the tire is 0.35 m in diameter, therefore the
circumference of the tire is
C = πD
C = π(0.35)
C = 1.1 m (approx.)
Hence, for every 12.25 revolutions of the crankshaft, the
wheels will cover 1.1 m.
Now let’s consider the engine speed in revolution per hour
(rph) = 2000 x 60 = 1,20,000 rph.
Now the vehicle speed can be calculated using the above values.
The vehicle speed at 1st gear at an engine speed of 1,20,000 rph is
Vehicle speed = (Engine speed in rph /
final gear ratio) X circumference of the tire
Vehicle Speed = (1,20,000 rph / 12.25) X 1.1
m
= 10,775 meters per hour (approx.)
= 10.775 km/h
The vehicle speed for the other gear ratios can be
calculated by following the same procedure as above. Let’s calculate:
2nd Gear:
Let’s assume the 2nd gear ratio, G2 = 2.5 : 1.
Differential gear ratio (GD) = 3.5 : 1
Final gear ratio = 2.5 X 3.5 = 8.75 : 1
Engine speed = 200000 rph
Vehicle speed at 2nd gear = (200000/8.75) X 1.1
= 25142.85 m/h
= 25 km/h (approx.)
3rd gear:
Let’s assume the 3rd gear ratio, G2 = 1.8 : 1.
Differential gear ratio (GD) = 3.5 : 1
Final gear ratio = 1.8 X 3.5 = 6.3 : 1
Engine speed = 200000 rph
Vehicle speed at 3rd gear = (200000/6.3) X 1.1
=
34920.63 m/h
= 35 km/h (approx.)
4th Gear:
Let’s assume the 4th gear ratio, G2 = 1 : 1.
Differential gear ratio (GD) = 3.5 : 1
Final gear ratio = 1 X 3.5 = 3.5 : 1
Engine speed = 200000 rph
Vehicle speed at 4th gear = (200000/3.5) X 1.1
=
62857.14 m/h
= 63 km/h (approx.)