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Water flows at 0.67 m/s through a pipe 20 cm in diameter whenthe pressure is 360

ID: 1730104 • Letter: W

Question

Water flows at 0.67 m/s through a pipe 20 cm in diameter whenthe pressure is 36000 Pa. Determine the water velocity & thepressure in the pipe be if it shrinks down to 2 cm in diameter. Youcan assume that the pipe is horizontal & water= 1000 kg/m3. ?? m/s ?? Pa I will rate, immediately... Water flows at 0.67 m/s through a pipe 20 cm in diameter whenthe pressure is 36000 Pa. Determine the water velocity & thepressure in the pipe be if it shrinks down to 2 cm in diameter. Youcan assume that the pipe is horizontal & water= 1000 kg/m3. ?? m/s ?? Pa I will rate, immediately...

Explanation / Answer

Diameter d = 20 cm velocity v = 0.67 m / s diameter after pipe shrinks d ' = 2 cm velocity at this point v ' = ? from equation of continiuty Av = A ' v '          d ^ 2 v = d'^2 v '    Since   A= d ^ 2 / 4 from this v ' = ( d / d')^2 * v                   = 67 m / s (b). Density of water = 1000 kg / m^ 3 Pressure P = 36000 Pa from Bernoulli's equation P ' - P = ( 1/ 2) [ v ^ 2 - v' ^ 2 ]                                                 = -2244275.55 from this required pressure P ' = -2244275.55 + P                                               = -2208275.55 Pa                                               = -2208275.55 Pa