Quote:
Originally Posted by Touringlawyer While test-driving the Pajero Sport manual some months back, the sales person had told me that the Pajero Sport in 4x4 LLC mode would be producing more than 900 NM of torque, which should be able to cross any hurdle / very difficult hurdles. |
Quote:
Originally Posted by Turbanator Sound BS to me, the Torque and Power graph for any Car or engine for that matter will be a curve and the values that we see on the specifications will be the maximum in a particular gear/ RPM, latter being mentioned in the spec sheet. Just by changing to Lower gear or putting into 4x4 Low, these cannot increase beyond the maximum. |
Touringlawyer came up with a legitimate doubt but was unfortunately ridiculed by some people due to their ignorance of basic physics. Though some others have subsequently shed light on the issue, permit me to clarify the matter by adding my 2 cents.
1)
Engine torque Vs Wheel torque : This is the most fundamental concept which is widely misunderstood. The value of maximum Torque (e.g., 385 Nm for my Endy 2.2L) quoted by any automobile manufacturer is the maximum torque the engine is capable of producing at the crankshaft. On the other hand, the torque which finally reaches a particular wheel after passing through the transmission is called Wheel torque. The combined Wheel torque of all the driven wheels can be significantly different from the Engine torque.
2)
Torque can be multiplied or amplified : Most common way of increasing torque is by reducing RPM through gears. Between the engine and the wheels, RPM reduction (with associated torque amplification) happens at the gearbox, transfer case (in 4x4 cars) and differential. In automatic transmissions, fluid couplings can also amplify torque and that is why these couplings are called Torque Convertors. If my Endy 2.2 engine is operating at 1600 RPM and developing 385 Nm torque under certain conditions and the transmission is in first gear, the total torque at the rear wheels could theoretically be around 5,000 Nm, i.e., approx 2,500 Nm torque per rear wheel (Endy 2.2 is Rear Wheel Drive).
Let us look at the following two diagrams of a RWD powertrain :
As depicted in the image above, the engine is the source of torque. The gearbox is connected to the engine through the clutch (on a manual transmission) or torque converter (on an automatic transmission). We consider that there is absolutely no slip in the clutch (fully closed) or in the torque converter (lock-up clutch closed). In this case the engine torque Te is equal to the clutch / torque converter torque.
Further, the engine torque is transmitted through the gearbox, where it is multiplied with the gear ratio of the engaged gear Ix and outputs the gearbox torque. Tg=Ix*Te
The propeller shaft is transmitting the torque to the rear axle, where it is multiplied with the final drive gear ratio Io. This gives the torque at the differential Td. Td=Io*Tg=Io*Ix*Te. I am not sure about the actual gear ratios and differential ratio in my Endy 2.2 and for the sake of illustration let me assume a gear ratio of 4 (in 1st gear) and a differential ratio of 3. With these assumptions, Td=4*3*385=4,620 Nm.
If the vehicle is driven on a straight line, the torque at the differential is equally split between the left wheel Tlw and the right wheel Trw.
Tlw=Trw=Td/2=2,310 Nm.
It is thus quite clear that engine torque can be multiplied manifold by the transmission before it reaches the wheels. In 4x4 cars there is a transfer case which may have additional gear ratios in high range and low range. This ratio will further amplify the torque.
3)
Wheel Force and Traction : Let us try to understand how the Wheel Torque actually propels the car forward (or backward). We know that torque is the product between a force and its lever arm length. In our case, the wheel torque is applied in the wheel hub (center) and the lever arm is the wheel radius. The radius of Endy wheel (265/60 R18) is about 0.4 m. Continuing with the above example, Tlw=Trw=2,310 Nm=Fwl (Wheel Force)*0.4. From this equation, Wheel Force on each of the rear wheels on my RWD Endy 2.2 works out to 5,775 Newtons. So the total force available to propel the car is 5775*2=11,550 Newtons.
Let us now closely observe what is happening at each of the rear wheels. While the tyre is applying a tangential force of 5,775 Newtons on the road, the road is applying an equal and opposite force of 5,775 Newtons on the tyre. This is where the concept of Traction comes in. Traction is basically the gripping power between the tyre and the road. It depends on several factors but the most important ones are tyre footprint (area of tyre in contact with road), co-efficient of friction, and vertical load on tyre.
4)
Greater traction in 4x4 : Let me end my post by highlighting the concept of traction while comparing 4WD with 2WD. Let us assume that total Wheel Torque available in 4WD and 2WD are identical and the torque is distributed equally. In that case, the total Wheel Force (11,500 N) would also be identical, the only difference would be that in 4WD the Wheel Force on each of the 4 wheels would be 2,887.5 N and in 2WD the Wheel Force on each of the rear wheels would be 5,775 N.
Now let us put a number on Traction, which too is a Force that can be expressed in Newtons. If the Traction on each wheel is greater than 5,775 N, both the 2WD and 4WD would move with equal ease and acceleration. But in a case where the traction is greatly reduced, say to 3,000 N per wheel due to ice on the road, the rear wheels of the 2WD would start spinning and car won't move. But the 4WD would move easily because the total traction (12,000 N) is still more than the total Wheel Force (11,500 N).
Disclaimer : Figures of gear ratios, torque, wheel force and traction are merely illustrative.