Physics, 18.08.2020 15:01 kaliyab191

Water flowing through a 1.6-cm-diameter pipe can fill a 500 L bathtub in 6.5 min. What is the speed of the water in the pipe?

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Answer from: badpotterchris

The speed of the water is "12.95 m/s".

According to the question,

Volume,

V = 500 L

= $500\times 10^{-3} \ m^3$

Time,

t = 3.2 min

= $3.2\times 60$

= $192 \ s$

Diameter,

d = 1.6 cm

= 0.016 m

As we know,

Area of cross-section of pipe will be:

→ $A = \pi (\frac{d}{2} )^2$

$= 3.14\times (\frac{0.016}{2} )^2$

$= 2.01\times 10^{-4} \ m^2$

Flow rate is:

→ $\frac{V}{t} = Av$

$v = \frac{V}{At}$

$= \frac{500\times 10^{-3}}{2.01\times 10^{-4}\times 192}$

$= 12.95 \ m/s$

Thus the above approach is right.

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Answer from: ineedhelp2285

v = 6.38 m/s

Explanation:

discharge Q = 500 L / 6.5 min

flow through pipe is 1.6 cm x (1 m/100 cm ) = 0.016 m

using the flow rate formula Q = A * v

where A = area, v = velocity

the speed of water in the pipe = v = Q / A

500 L 1 m³ 1 min π (0.016 m)²

v = x x ÷

6.5 min 10³ L 60 sec 4

v = 6.38 m/s

Answer from: Quest

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Answer from: Quest

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from wikipedia

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Water flowing through a 1.6-cm-diameter pipe can fill a 500 L bathtub in 6.5 min. What is the speed...

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