Consider a rectangular fin (k=180 w/m·k) of length l=10 mm, thickness t=1 mm, and width w≫t. the base temperature of the fin is tb=110°c, and the fin is exposed to a fluid of temperature [infinity] t[infinity]=25°c. assuming a uniform convection coefficient of h=80 w/m2·k over the entire fin surface, determine the fin heat transfer rate per unit width qf′ ,efficiency ηf, effectiveness εf, thermal resistance per unit width rt, f′and the tip temperature t(l) for convection heat transfer at the tip, adiabatic tip and infinite fin.

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.

Abrake has a normal braking torque of 2.8 kip in and heat-dissipating cast-iron surfaces whose mass is 40 lbm. suppose a load is brought to rest in 8.0 s from an initial angular speed of 1600 rev/min using the normal braking torque; estimate the temperature rise of the heat dissipating surfaces.

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