A twin turbo prop is flying with power loading of 12. What will be the maximum velocity?

A)
48.225 m/s
B)
48.225 km/h
C)
48.225 mph
D)
225.48 m/h

Correct Answer :   48.225 mph


Explanation : Given, Power loading P.L. = 12.
P.L. is given by,
W/hp = 1 / (a*Vmaxc), for twin turbo prop a=0.012, c=0.5.
Hence, maximum velocity Vmax is given by,
12 = 1 / (0.012*Vmax0.5)
0.012*Vmax0.5 = 1/12.
Vmax0.5 = 1 / (0.012*12) = 6.944
Takin log at both sides,
0.5*ln (Vmax) = ln (6.944) = 1.937
Now, taking anti-log,
Vmax = e(1.937/0.5) = e3.875 = 48.225mph