The velocity profile in a turbulent boundary layer flow with zero pressure gradient (over a flat plate, length L) may be approximated by the 1/6-power profile expression, u/U = (y/delta)^1/6.
The wall shear stress can be expressed as tau_w = 0.0233_p U^2 (v/U delta)^1/4. Using the Karman integral
equation, obtain expression for (a) delta/x, (b) C_f for this velocity profile, (c) drag force on the entire flat plate.

Adouble-strand no. 60 roller chain is used to transmit power between a 13-tooth driving sprocket rotating at 300 rev/min and a 52-tooth driven sprocket. a) what is the allowable horsepower of this drive? b) estimate the center-to-center distance if the chain length is 82 pitches. c) estimate the torque and bending force on the driving shaft by the chain if the actual horsepower transmitted is 30 percent less than the corrected (allowable) power.

A-mn has a cubic structure with a0 0.8931 nm and a density of 7.47 g/cm3. b-mn has a different cubic structure, with a0 0.6326 nm and a density of 7.26 g/cm3. the atomic weight of manganese is 54.938 g/mol and the atomic radius is 0.112 nm. determine the percent volume change that would occur if a-mn transforms to b-mn.

Which of the following ziegler nichols tuning methods the response of the controller to a step input should exhibit an s-shaped curve? a)-open loop mode b)-closed loop mode c)-both modes (open & closed) d)-none of the modes (open & closed)