PHYSICS A horizontal pipe carries a smoothly flowing liquid with density 1.19 ti

Question

PHYSICS

A horizontal pipe carries a smoothly flowing liquid with density 1.19 times 103 kg / m3. At locations 1 and 2 along the pipe the diameters are 5.07 cm and 2.27 cm, respectively. Is the flow speed at location 2 higher or lower than at location 1? Lower Can't tell from the data Higher The flow speed at location 1 is 1.53 m / s. What is the pressure difference between location 2 and location 1 (including its sign)? Ignore viscosity Is the pressure at location 2 higher or lower than at location 1? Can't tell Higher Lower

Explanation / Answer

1. by equation of continuity-
A1V1 = A2v2
=> velocity is inversely propotinal to area
so,
higher

2. A1v1 = A2v2
=> d1^2 *v1 = d2^2 *v2
=> v2 = v1*(d1/d2)^2 = 7.63 m/sec
so,
P1 + 0.5*density*v1^2 = P2 + 0.5*density*v2^2
=> P2 - p1 = 0.5*density*(v1^2 - v2^2) = -33246.22 Pa

3. as P2 -P1 is negative
so,
lower

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