The Rolls$-$Royce Olympus $593$ is the turbojet engine used to power the Concorde. It has a static

sea$-$level thrust $(T_0)$ of $28,800lbf$ when operating at maximum continuous power on a standard

day.

a$.$ What is the thrust at Mach $0\mathrm{.}3$ if the engine is operating at sea level? $(1$ point$)$

b$.$ What is the thrust at Mach $0\mathrm{.}3$ if the engine is operating at $10,000ft?(1$ point$)$

The Cessna $172$ is a propeller$-$driven general aviation aircraft. It features a propeller with a

diameter of $76$ inches which is driven by Lycoming $0-360$ reciprocating engine. The $0-360$

produces $180$ horsepower at sea level.

c$.$ What is the shaft brake power if the vehicle is operating at Mach $0\mathrm{.}15$ at sea level? $(1$

point$)$

d$.$ What is the shaft brake power if the vehicle is operating at Mach $0\mathrm{.}2$ at $10,000ft?(1$

point$)$

e$.$ The aircraft is cruising at $10,000ft,$ maintaining a velocity of $192f\frac{t}{s}$ with the propeller

spinning at $2500$ revolutions per minute. What is the advance ratio of the propeller at

this condition? $(1$ point$)$

f$.$ While in the cruise condition above, the engine throttle is set to approximately $60\%.$

Assuming a propeller efficiency of $0\mathrm{.}85,$ what is the available power produced by the

propeller? $(1$ point$)$

g$.$ For the same cruise condition, what is the thrust produced by the propeller? $(1$ point$)$