Problem $3[2$ points$]$ In the movie, Top Gun: Maverick, Tom Cruise almost perfectly and successfully takes off

from a short and partially destroyed enemy taxiing path with an old Grumman F$-14$ Tomcat. Some

specification of F$-14$ at sea level can be obtained as the takeoff ground roll being $760$ m with the liftoff speed at

Problem $3[2$ points$]$ In the movie,

Problem $3[2$ points$]$ In the movie, Top Gun: Maverick, Tom Cruise almost perfectly and successfully takes off from a short and partially destroyed enemy taxiing path with an old Grumman F$-14$ Tomcat. Some specification of F$-14$ at sea level can be obtained as the takeoff ground roll being $760$ m with the liftoff speed at $)=(82\mathrm{.}3\frac{m}{s}$ and the maximum rate of climb at sea level being $230\frac{m}{s}($from wikipedia$).$ In this problem, we wish to investigate whether the movie contents are realistic or just dramatic effects with the known F$-14$ parameters, several reasonable assumptions for the unknown F$-14$ parameters $($See below$),$ and rough distance measures from the screen$-$captured movie scenes $($See the depictions on the next page$).$ Utilize the solution template provided.

Wing geometry: $S=94m^2($effective area including fuselage$),b=19\mathrm{.}545m($unswepted$)$

Wing height from the ground: $h=2\mathrm{.}06m$

Aspect ratio: $AR=\frac{b^2}{S}=4\mathrm{.}06$

Profile drag coefficient: $C_{D_0}=0\mathrm{.}03$

Oswald efficiency factor: $e=0\mathrm{.}8$

Normal gross weight: $W=271\mathrm{.}34kN$

Maximum lift coefficient: $C_{L_{\text{m}\text{a}\text{x}}}=0\mathrm{.}7($limited to avoid tail's drange the ground$)$

Powerplant: Two GE turbofan engines $)=(2$ with afterbuner to get $T_{A_0}=119\mathrm{.}9kN$ each at sea level

Friction coefficient: ${}_{LO}=0\mathrm{.}02$

Assume that the enemy airbase is located at the elevation of $)=(1\mathrm{.}107\frac{kg}{m^3}$ where the maximum rate of climb is known as $(\frac{R}{C}{)}_{\text{m}\text{a}\text{x}}=112\frac{m}{s}.$ The take$-$off ground roll in the movie can be roughly read or estimated as $s_1$~~$520m$

$3\mathrm{.}1.$ Evaluate the take$-$off ground roll $(s_{LO})$ of F$-14$ at $)=(1\mathrm{.}107\frac{kg}{m^3}.$

$$ Liftoff speed $V_{LO}$:

$$ Average speed $V_{\text{a}\text{v}\text{g}}$ to calculate $F_{\text{e}\text{f}\text{f}}$ :

$$ Average dynamic pressure: Top Gun: Maverick, Tom Cruise almost perfectly and successfully takes off

from a short and partially destroyed enemy taxiing path with an old Grumman F$-14$ Tomcat. Some

specification of F$-14$ at sea level can be obtained as the takeoff ground roll being $760$ m with the liftoff speed at

$)=(82\mathrm{.}3\frac{m}{s}$ and the maximum rate of climb at sea level being $230\frac{m}{s}($from wikipedia$).$ In this

problem, we wish to investigate whether the movie contents are realistic or just dramatic effects with the known

F$-14$ parameters, several reasonable assumptions for the unknown F$-14$ parameters $($See below$),$ and rough

distance measures from the screen$-$captured movie scenes $($See the depictions on the next page$).$ Utilize the

solution template provided.

Wing geometry: $S=94m^2($effective area

including fuselage$),b=19\mathrm{.}545m($unswepted$)$

Wing height from the ground: $h=2\mathrm{.}06m$

Aspect ratio: $AR=\frac{b^2}{S}=4\mathrm{.}06$

Profile drag coefficient: $C_{D_0}=0\mathrm{.}03$

Oswald efficiency factor: $e=0\mathrm{.}8$

Normal gross weight: $W=271\mathrm{.}34kN$

Maximum lift coefficient: $C_{L_{\text{m}\text{a}\text{x}}}=0\mathrm{.}7($limited to avoid

tail's drange the ground$)$

Powerplant: Two GE turbofan engines $)=(2$ with

afterbuner to get $T_{A_0}=119\mathrm{.}9kN$ each at sea level

Friction coefficient: ${}_{LO}=0\mathrm{.}02$

Assume that the enemy airbase is located at the elevation of $)=(1\mathrm{.}107\frac{kg}{m^3}$ where the maximum rate of

climb is known as $(\frac{R}{C}{)}_{\text{m}\text{a}\text{x}}=112\frac{m}{s}.$ The take$-$off ground roll in the movie can be roughly read or estimated as

$s_1$~~$520m.$