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

We assume that the power (hp) and RPM are linearly related. So we can set up a proportion $\frac{hp_1}{RPM_1}=\frac{hp_2}{RPM_2}$.

Step2: Solve Question 1

Given $hp_1 = 160$, $RPM_1=2400$, $RPM_2 = 2150$. We need to find $hp_2$.
Using the proportion $\frac{160}{2400}=\frac{hp_2}{2150}$, then $hp_2=\frac{160\times2150}{2400}=\frac{344000}{2400}\approx143$.

Step3: Solve Question 2

Given $hp_1 = 625$, $RPM_1 = 2500$, $hp_2=500$. We need to find $RPM_2$.
Using the proportion $\frac{625}{2500}=\frac{500}{RPM_2}$, then $RPM_2=\frac{500\times2500}{625}=2000$.

Answer:

Question 1: 143
Question 2: 2000