Aprojectile in flight canties with it a more or less conical-shaped shock front. from physical reasoning it appears that at great distance from the projectile this shock wave becomes truly conical and changes in vclocity and density across the shock becomes vanishingly small. photographs of a bullet in light show that at a great distance from the bullet the lotal included angle of the conç is 50,30°. the pressure and lymperature of the undisturbed air ir 100.801 kpa and 22.78°c. respectively. calculate thç velocity of the bullet, and the mach number of the bullcl. relative lu the undisturbed air.

Aloaded platform of total mass 500 kg is supported by a dashpot and by a set of springs of effective stiffness 72 kn/m. it is observed that when the platform is depressed through a distance x = 12.5 cm below its equilibrium position and then released without any initial velocity; it reaches its equilibrium position in the shortest possible time without overshoot. find the position and velocity of the loaded platform 0.10 sec. after its release. if a further load of 400 kg is added to the platform, find, i) the frequency of damped vibrations, and i) the amplitude of vibration after 2 complete oscillations, given that the initial amplitude is 15 cm.

Water at 55c flows across a flat plate whose surface temperature is held constant at 95c. if the temperature gradient at the plate's surface for a given value of x is 18 c/mm, find a) local heat transfer coefficient. b) heat flux

Water at the rate of 1 kg/s is forced through a tube with a 2.5 cm inner diameter. the inlet water temperature is 15°c, and the outlet water temperature is 50°c. the tube wall temperature is 14°c higher than the local water temperature all along the length of the tube. what is the length of the tube?