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A sphere of solid density rho s and diameter D is dropped to a water pond (density rho s and viscosity mu). Initial vertical displacement is x(t=0) = 0 and initial velocity is v(t=0) = 0. Derive the governing differential equation for the motion. Solve the equation using Laplace Transform. Derive the terminal velocity v0 when acceleration becomes zero. Derive the characteristic relaxation time t* in terms of all given variables.
determine the velocity of a detonation wave propagating through an ideal-gas mixture having a constant specific heat cp
a cylinder-piston arrangement contains 2.5 kg of ammonia at 0.8 mpa and 30 degc state 1. the system is cooled down
design a turbojet engine to flight at an altitude of 10000m. the pressure ratio across the compressor is 3. the
the position vector of a particle moving in the x-y plane at time t3 sec is rt32i-3j m. at time t5 sec its position
the electric heating systems used in many houses consist of a simple duct with electrical resistance wires. air is
a 2 l bottle of a carbonated beverage coke at 20 degc is placed in a cooler with 10 l of saturated liquid water and 30
you decide to do a demonstration on a rooftop that requires water. there isnt a handy faucet so you put a barrel of
If the chest is completely filled with ice, calculate the time for the ice to completely melt. State your assumptions. The enthalpy of fusion for water is 330 kJ/kg.
a tank contains 1 m3 air at 100 kpa 300 k. a pipe flowing air at 1000 kpa 300 k is connected to the tank and it is
a combustion engineer wishes to produce an inert mixture to replace normal air. she will do that using a mixture of n2
a mass of 5kg of saturated liquid-vapor mixture of water is contained in a piston-cylinder device at 125kpa. initially
a 200-w vacuum cleaner is powered by an electric motor whose efficiency is 80. note that the electric motor delivers
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