ideal gas at a pressure of 2.00 x 10 Pa is moving along the wider part of the pipe at a speed of 30.0ms. The pressure of the gas at P is 1.80 x 10° Pa. Assuming that the temperature of the gas remains con- stant calculate the speed of the gas at P. (b) State Bernoulli's equation for an incom- pressible fluid, giving the meanings of the symbols in the equation. (c) For the gas in (a) recalculate the speed at

Elements Of Electromagnetics
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B68 (a) State the cquation of contimmity for a
compressible fluid flowing through a pape.
A horizontal pipe of dianteter 36.0 cm
tapers to a diameter of 18.0 cm at l. An
ideal gas at a pressure of 2.00 x 10 Pa is
moving along the wider part of the pipe at
a speed of 30.0 m s". The pressure of the
gas at P is 1.80 x 10° Pa. Assuming that
the temperature of the gas remains con-
stant calculate the speed of the gas at P.
(b) State Bernoulli's equation for an incom-
pressible fluid, giving the meanings of the
symbols in the equation.
(c) For the gas in (a) recalculate the speed at
Pon the assumption that it can be treated
as an incompressible fluid, and use
Bernoulli's equation to calculate the
corresponding value for the pressure at
P. Assume that in the wider part of the
pipe the gas speed is still 30.0ms ', the
pressure is still 2.00 x 10 Pa and at this
pressure the density of the gas is
2.60 kg m.
(d) Drawa labelled diagram to show how you
would use the change in pressure dis-
cussed in (c), treating the gas as an
incompressible fluid, to obtain a value
for the speed of the gas in the pipe. Show
how the result is calculated.
Transcribed Image Text:B68 (a) State the cquation of contimmity for a compressible fluid flowing through a pape. A horizontal pipe of dianteter 36.0 cm tapers to a diameter of 18.0 cm at l. An ideal gas at a pressure of 2.00 x 10 Pa is moving along the wider part of the pipe at a speed of 30.0 m s". The pressure of the gas at P is 1.80 x 10° Pa. Assuming that the temperature of the gas remains con- stant calculate the speed of the gas at P. (b) State Bernoulli's equation for an incom- pressible fluid, giving the meanings of the symbols in the equation. (c) For the gas in (a) recalculate the speed at Pon the assumption that it can be treated as an incompressible fluid, and use Bernoulli's equation to calculate the corresponding value for the pressure at P. Assume that in the wider part of the pipe the gas speed is still 30.0ms ', the pressure is still 2.00 x 10 Pa and at this pressure the density of the gas is 2.60 kg m. (d) Drawa labelled diagram to show how you would use the change in pressure dis- cussed in (c), treating the gas as an incompressible fluid, to obtain a value for the speed of the gas in the pipe. Show how the result is calculated.
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