A plane is being tracked by radar, and data is taken every second in polar coordinates

θ and r

t (sec) 200 202 204 206 208 210

θ (rad) 0.75 0.72 0.70 0.68 0.67 0.66

r (m) 5120 5370 5560 5800 6030 6240

1. Calculate the velocity of the plane as a function of time, where the velocity V is given by:

V= √r^2 + r(θ)^2.

Please compute the derivatives using the most accurate finite-difference method and comment on the choices you made (why did you choose to use a certain method at any given point).

Two flowing streams of argon gas are adiabatically mixed to form a single flow/stream. one stream is 1.5 kg/s at 400 kpa and 200 c while the second stream is 2kg/s at 500 kpa and 100 ? . it is stated that the exit state of the mixed single flow of argon gas is 150 c and 300 kpa. assuming there is no work output or input during the mixing process, does this process violate either the first or the second law or both? explain and state all your assumptions.

Fluids at rest possess no flow energy. a)- true b)- false

Consider a large isothermal enclosure that is maintained at a uniform temperature of 2000 k. calculate the emissive power of the radiation that emerges from a small aperture on the enclosure surface. what is the wavelength ? , below which 10% of the emission is concentrated? what is the wavelength ? 2 above which 10% of the emission is concentrated? determine the wavelength at which maximum spectral emissive power occurs. what is the irradiation incident on a small object placed inside the enclosure?