Calculating Fluid Velocity in a Constricted Tube

[dylee3]

1. A tube of radius 5 cm is connected to tube of radius 1 cm as shown above. Water is forced through the tube at a rate of 10 liters/min. The pressure in the 5 cm tube is 1×105 Pa. The density of water is 1000 kg/m3. Assume that the water is nonviscous and uncompressible.



2. P=F/A, Q=v1A1 = v2A2



3. no idea

(a) What is the velocity of the water in the 5 cm radius tube in m/s?



thanks for anyhelp

 

[robb_]

Looks like you know the volume per time that pass through that tube. Volume can be thought of as area times length. The dimension of the tube is known.

 

[dylee3]

it doesn't tell us the length of the tube, its not a perfect cylinder. it starts off with a 5cm radius tube, and angles into a 1 cm radius tube, back out to a 5cm radius tube.

 

[robb_]

It doesn't matter where you look in the tube, 10 L pass by each min.