Question

an aircraft with an engine developing 280 hp at 2,149 rpm, will produce what hp at 3,186 rpm? (2 decimals if needed)

Explanation:

Step1: Assume power - rpm relationship is linear

The power ($P$) and revolutions per minute ($RPM$) are assumed to have a linear relationship. We can set up a proportion. Let $P_1 = 280$ hp, $RPM_1=2149$, and $RPM_2 = 3186$. The proportion is $\frac{P_1}{RPM_1}=\frac{P_2}{RPM_2}$.

Step2: Solve for $P_2$

Cross - multiply the proportion: $P_2=\frac{P_1\times RPM_2}{RPM_1}$. Substitute the given values: $P_2=\frac{280\times3186}{2149}$.
$P_2=\frac{892080}{2149}\approx415.11$.

Answer:

$415.11$