The pipe in (Figure 1) shrinks from a diameter of 100 mm in the wide section to

Question

The pipe in (Figure 1) shrinks from a diameter of 100 mm in the wide section to a diameter of 10.0 mm in the narrow section.

Figure 1

Part A

If the water's speed is 110 mm/s at location A, what is its speed at location B?

Express your answer with the appropriate units.

vB =

The pipe in (Figure 1) shrinks from a diameter of 100 mm in the wide section to a diameter of 10.0 mm in the narrow section. Figure 1 Part A If the water's speed is 110 mm/s at location A, what is its speed at location B? Express your answer with the appropriate units. vB =

Explanation / Answer

from the eqaution of continituy

A1 vA = A2 vB

pi (d1/2)^2 vA = pi (d2/2)^2 v2

vB= pi (d1/2)^2 vA /pi (d2/2)^2 = (d1)^2 v1/(d2)^2 = (100 mm)^2 (110 mm/s)/(10 mm)^2 = 11000 mm/s

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