physics

An open tank holds water 1.25 m deep. If a small hole of cross section area 3cm^2 is made at the bottom of the tank, calculate the mass of water per second initially flowing out of the hole. (g=10m/s^2, density of water= 1000 kgm^-3)

  1. 👍 2
  2. 👎 0
  3. 👁 805
  1. Sice you are still showing no work, my advice will be brief.

    Use the Bernoulli equation (with altitude change)to get the velocity and the continuity equation to get the mass flow rate.

    1. 👍 0
    2. 👎 0
  2. Don't know how to solve it!pleas help me out

    1. 👍 0
    2. 👎 0
  3. Mass of water flowing out per second = mv

    v is the velocity of the water coming out of the hole.

    Since 'm' = V¶
    Where 'V' is the volume of hole
    '¶' is the density of water flowing out.

    Therefore,mass of water flowing out per second= 0.03*1000*√2*10*1.25

    =150kg/sec

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Calculus

    A water trough is 9 m long and has a cross-section in the shape of an isosceles trapezoid that is 40 cm wide at the bottom, 80 cm wide at the top, and has height 40 cm. If the trough is being filled with water at the rate of 0.3

  2. Diff Calculus

    a swimming pool is 5m wide, 10m long, 1m deep at the shallow end, and 3 m deep at its deepest point. a cross section is shown in the figure. if the pool is being filled at a rate of 0.1 m3/min, how fast is the water level rising

  3. Calculus

    A water trough is 5 m long and has a cross-section in the shape of an isosceles trapezoid that is 30 cm wide at the bottom, 70 cm wide at the top, and has height 40 cm. If the trough is being filled with water at the rate of 0.2

  4. calculus

    A water trough is 8 m long and has a cross-section in the shape of an isosceles trapezoid that is 40 cm wide at the bottom, 100 cm wide at the top, and has height 60 cm. If the trough is being filled with water at the rate of 0.1

  1. cal

    A conical tank (with vertex down) is 12 feet across the top and 18 feet deep. If water is flowing into the tank at a rate of 18 cubic feet per minute, find the rate of change of the depth of the water when the water is 10 feet

  2. Math Nightmare

    I need help The design of a new airplane requires a gasoline tank of constant cross-sectional area in each wing. A scale drawing of a cross section is shown here. The tank must hold 5000lb of gasoline, which has a density of 42

  3. DUE AT MIDNIGHT PLEASE HELP- Calculus

    A trough is 5 meters long, 1 meters wide, and 4 meters deep. The vertical cross-section of the trough parallel to an end is shaped like an isoceles triangle (with height 4 meters, and base, on top, of length 1 meters). The trough

  4. Physics II

    A large cylindrical water tank 11.5 m in diameter and 13.5 m tall is supported 8.75 m above the ground by a stand. The water level in the tank is 10.6 m deep. The density of the water in the tank is 1.00 g/cm3. A very small hole

  1. physics

    How fast does water flow from a hole at the bottom of a very wide, 3.7 m deep storage tank filled with water? Ignore viscosity.

  2. calculus

    Water is poured into a conical tank 6m across the top and 8m deep at the rate of 10m/min. How fast is the water level rising when the water in the tank is 5m deep?

  3. algebra

    Joe's larger tank is completely filled with water. He takes water from it to completely fill the small tank. Determine how many cubic inches of water will remain in the larger tank. Large Tank: length- 30in, width- 12in, height-

  4. Calculus

    If a tank holds 5000 gallons of water, which drains from the bottom of the tank in 40 minutes, then Torricelli’s Law gives the volume V of water remaining in the tank after t minutes as 12 V 􏰘 5000(1 􏰜 40 t) 0 􏰡 t 􏰡

You can view more similar questions or ask a new question.