Obliczenia dla PJB VEGA 2000

M_st = 450 [kg] M_wl = 264 [kg] k = 0,75

v_p = 200 [km/h] = 55,56 [m/s] L_p = 0,2 [km] g = 9,81 [m/s²]

N_max=59,60 [kW] = 59600 [W] n_z = 2 𝜚 = 1, 112 kg/m³

b_j = 0,22 [kg/kW*h] s = 11,50 [m²] η = 0, 77

Sprawność ciężarowa Obciążenie mocy

Q_wl = 9,81[m/s²]*264[kg]=2589,84[N] Q_max =  Q_st = 4414,50[N]

Q_st =9,81[m/s²]*450[kg]=4414,50[N] N_max = 59600[W]

$\frac{\mathbf{Q}_{\mathbf{wl}}}{\mathbf{Q}_{\mathbf{\text{st}}}} = \frac{2589,84}{4414,50} = 0,5867$ $\frac{\mathbf{Q}_{\mathbf{\max}}}{\mathbf{N}_{\mathbf{\max}}} = \ \frac{4414,50}{59600} = 0,0741\ $

Minimalny współczynnik oporu aerodynamicznego

$$\mathbf{C}_{\mathbf{x}} = \ \frac{1000*N_{\max}*\eta}{\varrho*s*v^{3}} = \ \frac{1000*59600*0,77}{1,112*11,50*{(55,56)}^{3}} = 20,92916359$$

$$\frac{\frac{kg*m^{2}}{s^{3}}}{\frac{\text{kg}}{m^{3}}*m^{2}*{(\frac{m}{s})}^{3}} = \ \frac{\frac{kg*m^{2}}{s^{3}}}{\frac{\text{kg}}{m}*\frac{m^{3}}{s^{3}}} = \ \frac{\frac{kg*m^{2}}{s^{3}}}{\frac{kg*m^{2}}{s^{3}}} = 0$$

Doskonałość zastępcza

$$\mathbf{d}^{\mathbf{*}} = \ \frac{M_{\text{st}}*g*v_{p}}{1000*N_{\max}*k} = \ \frac{450*9,81*55,56}{1000*59600*0,75} = 0,005486577$$

$$\frac{kg*\frac{m}{s^{2}}*\frac{m}{s}}{\frac{kg*m^{2}}{s^{3}}} = \ \frac{\frac{kg*m^{2}}{s^{3}}}{\frac{kg*m^{2}}{s^{3}}} = 0$$

Ciężar użyteczny

$$\mathbf{Q}_{\mathbf{uz}} = \ Q_{\text{st}} - \ Q_{wl} - \ 90*n_{z}*g - \ b_{j}\ *N_{\max}*g*\left( 0,8*\frac{L_{p}}{v_{p}} + 0,25 \right) = 4414,50 - 2589,84 - 90*2*9,81 - 0,22*59,60*9,81*\left( 0,8*\frac{0,2}{200} + 0,25 \right) = 26,59991702$$

$$\frac{\text{kg}}{kW*h}*kW*\frac{m}{s^{2}}*\frac{\text{km}}{\frac{\text{km}}{h}} = \ \frac{\text{kg}}{h}*\frac{m}{s^{2}}*\frac{\text{km}}{\frac{\text{km}}{h}} = \ \frac{\text{kg}}{h}*\frac{m}{s^{2}}*h = \ \frac{kg*m}{s^{2}} = N$$

Moc przewozowa

$$\mathbf{N}_{\mathbf{p}} = \ \frac{Q_{uz}}{g*N_{\max}} = \ \frac{26,59991702}{9,81*59,60} = 0,045495141$$

$$\frac{\frac{kg*m}{s^{2}}}{\frac{m}{s^{2}}*kW} = \ \frac{\text{kg}}{\text{kW}}$$