At what velocity does water emerge from an orifice in a tank in which gauge pressure is 3 × 105 N m-2 before the flow starts? (Take the density of water = 1000 kg m-3 .)

Question

At what velocity does water emerge from an orifice in a tank in which gauge pressure is 3 × 105 N m-2 before the flow starts? (Take the density of water = 1000 kg m-3 .) (A)  24.5 m s-1  (B)  14.5 m s-1  (C)  34.5 m s-1  (D)  44.5 m s-1

Tardigrade Admin · Accepted Answer

Here, P =3×105 Nm-2, ρ=1000 kgm-3, g=9.8 ms-2 As P=hρ g ∴ h=(P/ρ g)=(3×105/1000×9.8)m Velocity of efflux, v=√2 gh=√(2×9.8×3×105/1000×9.8) =√600=24.495 ms-1 ≈24.5 ms-1

Q. At what velocity does water emerge from an orifice in a tank in which gauge pressure is $3 \times 1 0^{5} N m^{- 2}$ before the flow starts? (Take the density of water $= 1000 k g m^{- 3}$ .)

$24.5 m s^{- 1}$

$14.5 m s^{- 1}$

$34.5 m s^{- 1}$

$44.5 m s^{- 1}$

Q. At what velocity does water emerge from an orifice in a tank in which gauge pressure is 3×105Nm−2 before the flow starts? (Take the density of water =1000kgm−3 .)

24.5ms−1

14.5ms−1

34.5ms−1

44.5ms−1

Here, P=3×105Nm−2,ρ=1000kgm−3,g=9.8ms−2 As P=hρg ∴h=ρgP​=1000×9.83×105​m Velocity of efflux, v=2gh​=1000×9.82×9.8×3×105​​ =600​=24.495ms−1≈24.5ms−1

Q. At what velocity does water emerge from an orifice in a tank in which gauge pressure is $3 \times 1 0^{5} N m^{- 2}$ before the flow starts? (Take the density of water $= 1000 k g m^{- 3}$ .)

$24.5 m s^{- 1}$

$14.5 m s^{- 1}$

$34.5 m s^{- 1}$

$44.5 m s^{- 1}$