$8\mathrm{.}3$ A rotor blade row is cut at pitchline, $r_m.$ The velocity vectors at the inlet and exit of the rotor are shown.

FIGURE P $8\mathrm{.}3$

Assuming $U_{m1}=U_{m2}=210\frac{m}{s}$ and $C_{z1}=C_{z2}=175\frac{m}{s},{}_1=1k\frac{g}{m^3}{}_2=-25,$ and ${}_r=-0\mathrm{.}03,$ calculate:

a$.W_1$ and $W_2$

b$.W_{1m}$ and $W_{2m}$

c$.D-$factor $D_{rm}$

d$.$ Circulation ${}_m$

e$.$ rotor lift at pitchline per unit span

f$.$ lift coefficient at pitchline

g$.$ rotor$-$specific work at $r_m$

h$.$ loading coefficient ${}_m$

i$.$ degree of reaction $R_m$

$-C_{z1}=175\frac{m}{s}$

Please solve all questions with steps $!!!$