Sizing to rate of climb requirements

From Chapter 1, part 3, page 129 through 131, it can also be seen that rate of climb (RC) can be determined by;

RC = dh/_dt = 33,000 x RCP   (ft/min)

Where: RCP     = Rate of Climb Parameter

= [h_p / (W/P) – {(W/S)^1/2/ 19(C_L^3/2/C_D)σ ^1/2}]

To maximise RC, it is evidently necessary to make C_L^3/2/C_D as large as possible.

(C_L^3/2/C_D)_max = 1.345(Ae)^3/4/C_D0^1/4

For normally aspirated engines, assumes a reduction in sea level horse power of a factor of 0.85. (i.e. 85hp/engine * 0.85 = 72hp/engine at 5000 ft)

From Chapter 1, part 3, page 129 through 152, it can be seen the formula for best rate of climb speed is;

Vy = [2(W/S)/ρ(C_D0πAe)^1/2}]^1/2

Best rate of climb and speeds	FAR 23	Sea Level		5000 ft
	ft/min	ft/min	kts	ft/min	kts
Take off climb AEO	300	1710	82	1315	88
Balked landing climb AEO	~	1461	58	1049	63
Take off climb OEI	steady	527	79	304	85
Balked landing climb OEI	~	293	57	52	62