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

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

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

Answer

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:

$415.11$