Find Time to Empty Water in Vessel

In summary, to calculate the time it takes to empty water from a vessel, you will need to know the volume of the vessel, the rate of water flow, and the initial amount of water. The shape and size of the vessel, as well as the viscosity of the liquid, can affect the emptying time. To speed up the process, you can increase the rate of water flow or decrease the initial amount of water. The shape of the vessel can also impact the emptying time, with tall and narrow vessels taking longer to empty compared to short and wide ones. The accuracy of the calculation depends on the input values and assumptions made, as well as external factors such as turbulence and air resistance. It is important to use precise measurements and
  • #1
roshan2004
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Homework Statement



A vessel of cross section 20 cm2 has at the bottom a horizontal capillary tube of length 10 cm and internal diameter 0.5 mm. It is initially filled with water to a height of 50 cm. Find the time taken to empty one half of the content in the vessel. Viscosity of water is 0.01 kgm-1s-1

Homework Equations



Poiseuille Equation

The Attempt at a Solution

 
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  • #2
hi roshan2004! :wink:

show us what you've tried, and where you're stuck, and then we'll know how to help! :smile:
 

Related to Find Time to Empty Water in Vessel

1. How do I calculate the time it takes to empty water from a vessel?

To calculate the time it takes to empty water from a vessel, you will need to know the volume of the vessel (in cubic meters or feet), the rate of water flow (in liters per second or cubic feet per minute), and the initial amount of water in the vessel. The formula for calculating time is: Time = Volume of vessel/Rate of water flow.

2. What factors affect the time it takes to empty water from a vessel?

The time it takes to empty water from a vessel can be affected by several factors, including the size and shape of the vessel, the rate of water flow, the initial amount of water in the vessel, and the viscosity of the liquid being emptied. Other factors such as the temperature and pressure can also have an impact on the emptying time.

3. How can I speed up the process of emptying water from a vessel?

To speed up the process of emptying water from a vessel, you can increase the rate of water flow by using a larger outlet or pump, or by using a liquid with a lower viscosity. You can also decrease the initial amount of water in the vessel, or increase the temperature or pressure in the vessel, which can decrease the viscosity of the liquid and make it easier to flow out.

4. Can the shape of the vessel affect the emptying time?

Yes, the shape of the vessel can have an impact on the emptying time. For example, a tall and narrow vessel will take longer to empty compared to a short and wide vessel, even if they have the same volume and rate of water flow. This is because the water has to travel a longer distance in the tall vessel, resulting in a slower emptying time.

5. How accurate are the calculations for finding the time to empty water from a vessel?

The accuracy of the calculations for finding the time to empty water from a vessel depends on the accuracy of the input values and the assumptions made in the calculation. Factors such as turbulence, air resistance, and other external forces may also affect the accuracy of the calculation. It is important to use accurate and precise measurements and to understand the limitations of the calculation method being used.

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