Water flow through a horizontal pipe of varying cross section at the rate of 50 litres per minute then what will be the velocity of water at a point where diameter is 10 cm ?

Question

Water flow through a horizontal pipe of varying cross section at the rate of 50 litres per minute then what will be the velocity of water at a point where diameter is 10 cm ? (A) 0.301 ms -1 (B) 0.629 ms -1 (C) 0.0424 ms -1 (D) 0.112 ms -1

Tardigrade Admin · Accepted Answer

Volume of the water flowing per second.

V = \frac{20}{60} = \frac{1}{3} \times 1 0^{- 3} m^{3} s^{- 1} (1 m^{3} = 1000 L 1 L = 1 0^{- 3} m)

(a) Area

= π r^{2}

= 3.14 \times (\frac{10}{2} \times 1 0^{- 2})^{2}

= 3.14 \times 25 \times 1 0^{- 4}

v = \frac{1 0 ^{- 3} \times 1 0 ^{4}}{3 \times 78.5}

= \frac{10}{235.5} = 0.0424 m / s

Q. Water flow through a horizontal pipe of varying cross section at the rate of 50 litres per minute then what will be the velocity of water at a point where diameter is $10 c m ?$

$0.301 m s^{- 1}$

$0.629 m s^{- 1}$

$0.0424 m s^{- 1}$

$0.112 m s^{- 1}$

Q. Water flow through a horizontal pipe of varying cross section at the rate of 50 litres per minute then what will be the velocity of water at a point where diameter is 10cm?

0.301ms−1

0.629ms−1

0.0424ms−1

0.112ms−1

Volume of the water flowing per second. V=6020​=31​×10−3m3s−1(1m3=1000L1L=10−3m​) (a) Area =πr2 =3.14×(210​×10−2)2 =3.14×25×10−4 v=3×78.510−3×104​ =235.510​=0.0424m/s

Q. Water flow through a horizontal pipe of varying cross section at the rate of 50 litres per minute then what will be the velocity of water at a point where diameter is $10 c m ?$

$0.301 m s^{- 1}$

$0.629 m s^{- 1}$

$0.0424 m s^{- 1}$

$0.112 m s^{- 1}$