a) (i) The kinetic energy rate in ft.lbf/s is 0.00771
(ii) kinetic energy being transported by the methanol in the pipe is 1.40 x 10⁻⁵ hp
b) Additional energy is dissipated into other forms. The larger part is heat energy, but also dissipated in light, sound and vibrations.
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What is kinetic energy?</h3>
The ability of an object to do work by virtue of its motion.
The mass flow rate expressed as
m= 3.00 gal.mm x 1000/264.17L/gal x 0.792 kg/L x 2.20462 / 60= 0.330 lb/s
The velocity is determined by the continuity equation
u= Q/A =[ 3.00 x 35.3145/(264.17x60) ] / π (1/12)²/4
u = 1.225 ft/s
The rate of kinetic energy transport is
K.E = 1/2 x (0.330) x (1.225)² = 0.00771 ft-lb/s
Thus, the kinetic energy rate in ft.lbf/s is 0.00771
The rate of kinetic energy in hp is
K.E = 0.00771 x 1.341 x 10⁻³ /0.7376
K.E = 1.40 x 10⁻⁵ hp
The kinetic energy being transported by the methanol in the pipe is 1.40 x 10⁻⁵ hp
b) The major amount of heat energy is dissipated. The other forms of energy is light, sound and vibrations.
Learn more about kinetic energy.
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