CALCULATIONS FOR FNR GEAR BOX AND CVT COMBINATION

Gear Reduction Selection

Power Requirements against:

Fr: Wheel Resistance

F_{L :}Air resistance

Fs: Gradient resistance

Fa: Acceleration resistance

Wheel Resistance= Rolling resistance + Slip Resistance + Road Resistance

Tr: Brake Torque

Assumption taken

Unmade road coefficient of friction fr= .16

mass of vehicle being=Mf

CALCULATIONS

Fr=fr*Mf*g*Cosαst where αst=30˚

Fr=0.16*200*9.81*Cos 30

Fr=280N

Total Load R=113kg(driver)+200kg (vehicle)

R=313*9.81=3070.50N

Static Resistance=µR

=0.65*3070.5=1995.84N

Vmax=60kmph

Wheel Radius r=221.875mm

= .221m

Air Resistance

F_L:0.5ρCwAv²

Ρ=Air Density

Cw=Drag Coefficient

A=Area

V=velocity

F_L=0.5*1.99*0.0315*(16.66)²

=0.52N

Gradient Resistance:

Fst=Mf*g *Sinαst

Putting the corresponding value

Fst=131.725N

Acceleration resistance:

Fa=m*a

=956N

Ftotal=2662.247

Power Required: Ftotal*v/(Nrpm*η)