Question

question 1
2 pts
an aircraft with an engine rated at 160 hp at 2400 rpm, will produce what hp at 2150 rpm? (nearest whole number)

question 2
2 pts
a aircraft rated at 625 hp at 2500 rpm will produce 500 hp at what rpm? (nearest whole number)

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 $\frac{P_1}{RPM_1}=\frac{P_2}{RPM_2}$.

Step2: Solve Question 1

Given $P_1 = 160$ hp, $RPM_1=2400$, and $RPM_2 = 2150$. We want to find $P_2$.
From $\frac{P_1}{RPM_1}=\frac{P_2}{RPM_2}$, we can re - arrange to $P_2=\frac{P_1\times RPM_2}{RPM_1}$.
$P_2=\frac{160\times2150}{2400}=\frac{344000}{2400}\approx143$ hp.

Step3: Solve Question 2

Given $P_1 = 625$ hp, $RPM_1 = 2500$, and $P_2=500$ hp. We want to find $RPM_2$.
From $\frac{P_1}{RPM_1}=\frac{P_2}{RPM_2}$, we can re - arrange to $RPM_2=\frac{P_2\times RPM_1}{P_1}$.
$RPM_2=\frac{500\times2500}{625}=\frac{1250000}{625}=2000$ RPM.

Answer:

Question 1: 143
Question 2: 2000