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Performance of an Automobile

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    DESCRIPTION OF AN

    AUTOMOBILE

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    Following factors should be taken intoconsideration while writing down the descriptionof a vehicle.

    1. Type.. Bus, Truck, Car, Motor Cycle etc.

    2.Capacity. Carriage Capacity5 ton, 3 ton etc:4 or 6 or 35 or 45 seater etc.

    3. Make.It is actual name allotted by themanufacturer. In most cases, the make alsoindicates capacity/H.P. of the engine fitted in thevehicle, such as Maruti 800.

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    This means that Maruti make of car 800 c.c.engine, the total piston displacement is about800 c.c.

    4.DriveThe description of an automobile withregard to drive may be given as follows:

    i) Right hand or left hand drive

    ii) 2 wheel drive or 4 wheel drive. This means asto how many wheels the engine power flows orhow many wheels are directly connected with theengine.

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    Drive is usually indicated as under

    Left Hand Drive : 4 x 4 (4 wheel drive)

    Left Hand, Four wheel drive ; 4 x 4 means thevehicle contains 4 wheels and the engine

    power could flow towards all the 4 wheels, 6 x

    4 means that there are 6 wheels but the

    engine power could flow towards 4 wheel

    only.

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    5. Model.Year of manufacture or special

    Code Number allotted by the manufacturer.

    Thus for the description of an automobile

    following information will be required

    Type, capacity, make, drive, model

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    PERFORMANCE OF AN

    AUTOMOBILE

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    When fuel burns in the cylinder, pressures are

    developed.

    These pressure are transmitted to the

    crankshaft by the piston and connecting rod

    and torque is produced which sets the

    crankshaft in motion.

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    The torque produced by the engine is

    transmitted through the drive line to the road

    wheels to propel the vehicle.

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    The torque is measured in Nm (SI units)

    The actual power delivered by the engine is

    known as Brake Power(B.P) and is measured

    by dynamometer or prony brake.

    B.P= 2NT/(60x1000) kW

    Where T= Torque in Nm

    N= Speed in r.p.m

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    -the torque increases with the increase inengine speed upto a certain point after whichit starts to fall down even though the engine

    speed continues to increase. The number ofrpm at which the torque begins to decreasedepends upon engine design. At higherspeeds, engine vacuum falls down and less

    fuel enters the cylinders resulting in lesserforce available at the piston and hence the fallin toque as shown in the fig.

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    The torque available at the contact between

    driving wheels and road is referred to as

    Tractive Effort.

    Gear Box and final drive at differential act as

    leverage to multiply torque which is inversely

    proportional to speed.

    If the gear speed is lowered, the torque shall

    be increased in the same ratio and vice versa.

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    Let Tw=Torque at driving wheel

    Tw= G x t x TE

    Where G = Gear Box Ratiot = Overall Transmission Efficiency

    TE =Engine Torque

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    Engine Torque TE =(B.P. x 60 x 1000/2N ) in

    Nm

    Where B.P is in kW

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    Tractive effort,

    F = Tw

    /Rw

    Where Rw Radius of the driving wheel

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    The ratio between engine rpm and vehicle

    speed depends upon overall gear ratio.

    The vehicle having four speed gear box shall

    have four different speeds and ratio between

    engine rpm and vehicle speed shall be

    different

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    RPM of driving wheel = V/2Rw

    Where V= vehicle speed in metres/min

    Rw

    = Radius of wheel in metres

    Vehicle Speed

    V= (Wheel Circumference x N)/G V= 2RwN/G m/min

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    Engine RPM N= V x G/ 2Rw

    Vehicle speed Vx1000/60 = 2RwN/G

    Where V in Km/hr

    The ratio between rpm(N) and vehiclespeed(V)

    N/V= (1000xG)/(2Rw x 60)

    V= 2RwN/G m/min

    G=2RwN/V

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    Power at Driving Wheels

    The power available at the driving wheels to drivethe vehicle ranges from about 60 to 75%.

    The various power losses which take place

    between engine and the driving wheels are: i) Power loss due to friction of piston, bearing and

    gears in the engine (the power available at engineflywheel is about 85%).

    ii) Power loss from clutch to drive wheels due tofriction in clutch, gearbox, universal joints, finaldrive, differential and between tyres and ground.

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    iii) Transmission line losses.

    The power lost in transmission of power from

    engine to road wheels reflects the transmission

    efficiency () which is taken into account whilecalculating power available at road wheels.

    The thrust known as tractive effort provided by

    the engine at the driving road wheels varies atdifferent engine speeds and gear positions.

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    A moving vehicle is opposed by various forces

    known as resistances. For keeping the vehicle

    moving a driving force or tractive effort (F)

    equal to the sum of all the resistances has tobe applied to it. When F exceeds the sum of

    the resistances, the excess value F will

    accelerate the vehicle where as, when F is lessthan the sum of the resistances, the vehicle

    will deaccelerate.

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    The main forces which oppose the motion of a

    vehicle are

    1. Rolling resistance

    2. Wind or air resistance

    3. Gradient resistance

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    Rolling Resistance (Rr):

    It is mainly due to the friction between wheel

    tyres and road surface. It depends upon

    following factors

    -load on each road wheel

    -Type of tyre tread

    -Wheel inflation pressure

    -Nature of road surface

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    It is measured in kg or N and is expressed askg/tonne or N/tonne of the vehicle weight oras a percentage of the vehicle weight. Rolling

    resistance on an average type of road surfaceis between 1 to 2% of vehicle weight.

    Rolling resistance

    Rr

    = kr

    W kr = Constant of rolling resistance and

    W = total weight of Vehicle

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    Wind or Air Resistance (Ra)

    This type of resistance depends upon the

    following factors

    -the shape and size of vehicle body

    -Air Velocity

    -Speed of the vehicle

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    It increases as the square of the vehicle speed owing towhich much importance is given to streamlining and frontalarea of modern automobiles. In calculating air resistance,air velocity is usually neglected.

    Air Resistance

    Ra = kaAV

    Where ka = Coefficient of air resistance

    A= Projected frontal area, m

    V= Vehicle speed , km/h

    The values of ka for best streamlines cars, average cars andbuses and trucks are 0.00235, 0.0032 and 0.0046respectively.

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    Gradient Resistance (Rg)

    This resistance is due to steepness of road

    gradient. It is subject to vehicle weight and road

    gradient. It does not depend upon vehicle speed.

    Gradient Resistance Rg= W/G or W sin

    Where W= Total weight of vehicle

    G= Gradient and

    = inclination (for small values, tan = sin )

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    When the vehicle is moving along a level road,

    total resistance

    Rtotal = Rr + Ra and

    While moving up a gradient

    Rtotal = Rr + Ra + Rg

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