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| Problem# h2phy7 - Flow rate; area vs velocity |
The stream of water emerging from a faucet
"necks down" as it falls. The cross sectional area
Ao is 1.2 cm2, and A is 0.35 cm2. The two levels
are seperated by a vertical distance h=45 mm.
At what rate does water flow from the tap?
"necks down" as it falls. The cross sectional area
Ao is 1.2 cm2, and A is 0.35 cm2. The two levels
are seperated by a vertical distance h=45 mm.
At what rate does water flow from the tap?
| Strategy - the rule "Must have" of Mr.Zhang ® |
| Flow Rate Equations; | ||
| Flow Rate (Q) | = | Area x Velocity → (1) |
| = | AV | |
| V2 | = | U2+2gs → (2) |
| = | Vo2+2gs | |
| Solution | ||
| Compute the initial velocity ; | ||
| From equation (1) ; | ||
| AoVo | = | AV |
AoVo
A
| =V → (3) |
We bring equation(3) substitue in equation(2) ;
| The Volume flow rate is [R] | = | AoVo |
| R | = | 1.2 cm2x28.6 cm/s |
| Ans. Water flow from the tap | = | 34 cm3/s |
Water falls from a tap,whether its speed increases or not?
If "yes", why?
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