Question

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)
question 3 2 pts
if a glider has a glide ratio of 14:1. how far will the glider

Explanation:

Question 1

Step1: Assume power - RPM relationship is linear

Let $P_1 = 160$ hp, $R_1=2400$ RPM, $R_2 = 2150$ RPM, and we want to find $P_2$. The relationship between power $P$ and RPM $R$ can be assumed to be linear, so $\frac{P_1}{R_1}=\frac{P_2}{R_2}$.

Step2: Solve for $P_2$

$P_2=\frac{P_1\times R_2}{R_1}=\frac{160\times2150}{2400}=\frac{344000}{2400}\approx143$

Step1: Use the linear power - RPM relationship

Let $P_1 = 625$ hp, $R_1 = 2500$ RPM, $P_2=500$ hp, and we want to find $R_2$. Since $\frac{P_1}{R_1}=\frac{P_2}{R_2}$, we can cross - multiply to get $P_1\times R_2=P_2\times R_1$.

Step2: Solve for $R_2$

$R_2=\frac{P_2\times R_1}{P_1}=\frac{500\times2500}{625}=\frac{1250000}{625}=2000$

Answer:

143

Question 2