The figure illustrates flow through a pipe with diameters of 1.0 mm and 2.0 mm a

Question

The figure illustrates flow through a pipe with diameters of 1.0 mm and 2.0 mm and with different elevations. Px is the pressure in the pipe, and Vx is the speed of a non-viscous incompressible fluid at locations x = Q,R,S,T, or U.

greater than, less than, equal to

1.Greater thanLess thanEqual toPSis ... PU.
2.Greater thanLess thanEqual toVUis ... 2VQ
3.Greater thanLess thanEqual toVRis ... VS
4.Greater thanLess thanEqual toPSis ... PR
5.Greater thanLess thanEqual toVUis ... VT
6.Greater thanLess thanEqual toPTis ... PU

The figure illustrates flow through a pipe with diameters of 1.0 mm and 2.0 mm and with different elevations. Px is the pressure in the pipe, and Vx is the speed of a non-viscous incompressible fluid at locations x = Q,R,S,T, or U. greater than, less than, equal to 1. PSis ... PU. 2.VUis ... 2VQ 3.VRis ... VS 4.PSis ... PR 5.VUis ... VT 6.PTis ... PU

Explanation / Answer

Pt is less than Ps. (since area is unchanged and T is higher than S.)

Vt = Vs (since area is unchanged)

Vq = Vu (since area is unchanged.)

Ps is greater than Pu. (since height is same for both, dia is lower u which means velocity is more at u which means pressure is less at u.)

Pr is less than Ps. (since dia is same and r is at more height hence lesser pressure.)

Vu is greater than 2Vr. (Since since is double, hence velcoity will be 2^2 = 4 times.)

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