Mechanical Calculator Archives - ToDo Calculator https://todocalculator.com/category/mechanical-calculator/ Making Numerical Analysis Easier Thu, 13 Feb 2025 17:33:51 +0000 en-US hourly 1 https://wordpress.org/?v=6.7.2 https://i0.wp.com/todocalculator.com/wp-content/uploads/2023/07/cropped-Todo-Calculator-Logo.png?fit=32%2C32&ssl=1 Mechanical Calculator Archives - ToDo Calculator https://todocalculator.com/category/mechanical-calculator/ 32 32 220984463 Acceleration of a Fluid Particle through a Nozzle https://todocalculator.com/acceleration-of-a-fluid-particle-through-a-nozzle/ https://todocalculator.com/acceleration-of-a-fluid-particle-through-a-nozzle/#respond Thu, 13 Feb 2025 17:33:51 +0000 https://todocalculator.com/?p=14159 The acceleration of a fluid particle through a nozzle is a fundamental concept in fluid dynamics, playing a crucial role in various engineering applications, including jet engines, water jets, and industrial fluid transport systems. The acceleration occurs due to the changes in velocity as the fluid moves through a varying cross-sectional area, governed by principles […]

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The acceleration of a fluid particle through a nozzle is a fundamental concept in fluid dynamics, playing a crucial role in various engineering applications, including jet engines, water jets, and industrial fluid transport systems. The acceleration occurs due to the changes in velocity as the fluid moves through a varying cross-sectional area, governed by principles such as the continuity equation and Bernoulli’s equation.

A nozzle is designed to either increase or decrease the velocity of a fluid by constraining its flow through a narrowing or expanding passage. According to the continuity equation, which states that the mass flow rate must remain constant, a reduction in cross-sectional area results in an increase in velocity for an incompressible fluid.

In practical applications, the acceleration of fluid particles in nozzles is essential in propulsion systems, firefighting equipment, and even medical devices like nebulizers. Understanding this principle allows engineers to optimize nozzle designs for efficiency and performance.

Velocity at inlet:

Same formula is used at outlet too.

For magnitude of acceleration:

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Rising of a Liquid During Rotation https://todocalculator.com/rising-of-a-liquid-during-rotation/ https://todocalculator.com/rising-of-a-liquid-during-rotation/#respond Mon, 10 Feb 2025 18:50:58 +0000 https://todocalculator.com/?p=14150 When a liquid in a container is subjected to rotation, its free surface deforms due to centrifugal forces. This phenomenon is commonly observed in rotating tanks, centrifuges, and even in a spinning glass of water. Key Observations: The liquid level rises at the edges of the container and lowers at the center. The maximum rise […]

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When a liquid in a container is subjected to rotation, its free surface deforms due to centrifugal forces. This phenomenon is commonly observed in rotating tanks, centrifuges, and even in a spinning glass of water.

Key Observations:

  • The liquid level rises at the edges of the container and lowers at the center.
  • The maximum rise at the container’s wall is determined by the rotational speed.
  • The faster the rotation, the steeper the curvature of the paraboloid.

Speed of rotation of container:

 

 

Converting from rad/sec to rpm:

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Overflow from a Water Tank During Acceleration https://todocalculator.com/overflow-from-a-water-tank-during-acceleration/ https://todocalculator.com/overflow-from-a-water-tank-during-acceleration/#respond Tue, 04 Feb 2025 05:58:29 +0000 https://todocalculator.com/?p=14133 When a water tank undergoes acceleration, the water inside experiences an apparent force in the opposite direction of the acceleration. This causes the water surface to tilt, with the water level rising on the side opposite to the direction of acceleration and lowering on the side in the direction of acceleration. If the acceleration is […]

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When a water tank undergoes acceleration, the water inside experiences an apparent force in the opposite direction of the acceleration. This causes the water surface to tilt, with the water level rising on the side opposite to the direction of acceleration and lowering on the side in the direction of acceleration.

If the acceleration is strong enough, the water may reach the top edge of the tank and overflow.

The amount of overflow depends on factors such as the tank’s shape, initial water level, and the magnitude of acceleration. This phenomenon is commonly analyzed using fluid dynamics and Newton’s laws of motion.

Acceleration :

Tangent :

(az=0 as there is no acceleration in the z-direction)

Increase in length to avoid spillage:

 

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Weight Loss of an Object in Seawater https://todocalculator.com/weight-loss-of-an-object-in-seawater/ Wed, 22 Jan 2025 16:46:20 +0000 https://todocalculator.com/?p=14124 The apparent weight loss of an object in seawater is governed by Archimedes’ Principle, which states that the upward buoyant force exerted on an object submerged in a fluid is equal to the weight of the fluid displaced by the object. Weight of the concrete can be found by force formula, i.e., Weight of the […]

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The apparent weight loss of an object in seawater is governed by Archimedes’ Principle, which states that the upward buoyant force exerted on an object submerged in a fluid is equal to the weight of the fluid displaced by the object.

Weight of the concrete can be found by force formula, i.e.,

Weight of the concrete can be found using the same formula by changing density, then subtracting that value from the above value.

The calculator shows the subtracted value.

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Hydrostatic Force Acting on the Door of a Submerged Car https://todocalculator.com/hydrostatic-force-acting-on-the-door-of-a-submerged-car/ https://todocalculator.com/hydrostatic-force-acting-on-the-door-of-a-submerged-car/#respond Fri, 10 Jan 2025 04:46:47 +0000 https://todocalculator.com/?p=14109    

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Measuring Pressure with a Multifluid Manometer https://todocalculator.com/measuring-pressure-with-a-multifluid-manometer/ https://todocalculator.com/measuring-pressure-with-a-multifluid-manometer/#respond Wed, 08 Jan 2025 12:49:28 +0000 https://todocalculator.com/?p=14102 A multifluid manometer is a device used for measuring the pressure of a fluid (typically a gas or liquid) by using more than one fluid to help create a readable scale. These devices often involve the use of liquids of different densities, which makes them useful in measuring a wide range of pressures, including very […]

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A multifluid manometer is a device used for measuring the pressure of a fluid (typically a gas or liquid) by using more than one fluid to help create a readable scale. These devices often involve the use of liquids of different densities, which makes them useful in measuring a wide range of pressures, including very high or low pressures.

Key Components:

  1. U-tube or Inclined Tube: A tube bent in a U-shape or inclined at an angle is often used to measure pressure. One side of the tube is open to the system whose pressure is being measured, and the other side is open to the atmosphere or a reference pressure.
  2. Fluids: In a multifluid manometer, different fluids (often liquids with varying densities) are used in each leg of the manometer. Common choices are mercury, water, or other liquids, depending on the pressure range.
  3. Measuring Scale: The difference in the height of the fluids in the two arms of the manometer indicates the pressure difference. A scale is marked on the tube to measure this height difference.

 

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Absolute pressure within a tank https://todocalculator.com/absolute-pressure-within-a-tank/ https://todocalculator.com/absolute-pressure-within-a-tank/#respond Wed, 08 Jan 2025 06:14:28 +0000 https://todocalculator.com/?p=14096 A manometer is commonly used to measure small and moderate pressure differences. A manometer consists of a glass or plastic U-tube containing one or more fluids such as mercury, water, alcohol, or oil. To find the Absolute pressure: For further Queries :

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A manometer is commonly used to measure small and moderate pressure differences. A manometer consists of a glass or plastic U-tube containing one or more fluids such as mercury, water, alcohol, or oil.

To find the Absolute pressure:

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Gravity Driven Flow from an IV Bottle https://todocalculator.com/gravity-driven-flow-from-an-iv-bottle/ https://todocalculator.com/gravity-driven-flow-from-an-iv-bottle/#respond Tue, 07 Jan 2025 06:25:15 +0000 https://todocalculator.com/?p=14093 When pressure is exerted by a fluid, such as in a liquid column e.g., water or mercury in a barometer), the pressure at a depth is given by the formula: Density acceleration due to gravity height For further queries :

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When pressure is exerted by a fluid, such as in a liquid column e.g., water or mercury in a barometer), the pressure at a depth is given by the formula:

  • Density
  • acceleration due to gravity
  • height

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Measuring Atmospheric Pressure with a Barometer https://todocalculator.com/measuring-atmospheric-pressure-with-a-barometer/ https://todocalculator.com/measuring-atmospheric-pressure-with-a-barometer/#respond Tue, 07 Jan 2025 05:05:30 +0000 https://todocalculator.com/?p=14090 A barometer is an instrument used to measure atmospheric pressure, which is the force exerted by the weight of the air above us. The pressure is usually expressed in units like millimeters of mercury (mmHg), pascals (Pa), or inches of mercury (inHg). There are two main types of barometers: mercury barometers and aneroid barometers. The […]

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A barometer is an instrument used to measure atmospheric pressure, which is the force exerted by the weight of the air above us. The pressure is usually expressed in units like millimeters of mercury (mmHg), pascals (Pa), or inches of mercury (inHg). There are two main types of barometers: mercury barometers and aneroid barometers.

The barometric reading at a location in height of mercury column is given. The atmospheric pressure is to be determined.

Pressure can be calculated by the simple relation between density, acceleration due to gravity and height reading in the barometer.

The result will be in kPa.

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Absolute Pressure of a Vacuum chamber https://todocalculator.com/absolute-pressure-of-a-vacuum-chamber/ https://todocalculator.com/absolute-pressure-of-a-vacuum-chamber/#respond Mon, 06 Jan 2025 05:30:25 +0000 https://todocalculator.com/?p=14086 The absolute pressure of a vacuum chamber refers to the total pressure inside the chamber, including both the pressure exerted by the air (or gas) inside the chamber and the atmospheric pressure outside it. Absolute pressure is measured relative to a perfect vacuum, meaning it includes the atmospheric pressure as part of the reading. In […]

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  • The absolute pressure of a vacuum chamber refers to the total pressure inside the chamber, including both the pressure exerted by the air (or gas) inside the chamber and the atmospheric pressure outside it. Absolute pressure is measured relative to a perfect vacuum, meaning it includes the atmospheric pressure as part of the reading.
  • In a vacuum chamber, the absolute pressure is typically measured using a gauge that reads the difference between the pressure inside the chamber and a perfect vacuum.
    • All values will be in psi.

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