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Force acting in y-direction in momentum equation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Force_acting_in_y_direction = (Density*Discharge)*((-Velocity at section 2-2*sin(Theta))-(Pressure at section 2*Cross-Sectional area at a point 2*sin(Theta)))
Fy = (ρl*Q)*((-V2*sin(ϑ))-(P2*A2*sin(ϑ)))
This formula uses 1 Functions, 6 Variables
Functions Used
sin - Trigonometric sine function, sin(Angle)
Variables Used
Density - Density is mass of a unit volume of a material substance. (Measured in Kilogram per Meter³)
Discharge - Discharge is the rate of flow of a liquid (Measured in Meter³ per Second)
Velocity at section 2-2 - The Velocity at section 2-2 is the flow velocity of the liquid flowing in a pipe at a particular section after the sudden enlargement of the pipe size. (Measured in Meter per Second)
Theta - Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint. (Measured in Degree)
Pressure at section 2 - Pressure at section 2 is defined as the physical force exerted on an object. (Measured in Pascal)
Cross-Sectional area at a point 2 - Cross-Sectional area at a point 2 is the area of cross section at a point 2. (Measured in Square Meter)
STEP 1: Convert Input(s) to Base Unit
Density: 1 Kilogram per Meter³ --> 1 Kilogram per Meter³ No Conversion Required
Discharge: 1 Meter³ per Second --> 1 Meter³ per Second No Conversion Required
Velocity at section 2-2: 10 Meter per Second --> 10 Meter per Second No Conversion Required
Theta: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Pressure at section 2: 120 Pascal --> 120 Pascal No Conversion Required
Cross-Sectional area at a point 2: 10 Square Meter --> 10 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Fy = (ρl*Q)*((-V2*sin(ϑ))-(P2*A2*sin(ϑ))) --> (1*1)*((-10*sin(0.5235987755982))-(120*10*sin(0.5235987755982)))
Evaluating ... ...
Fy = -605
STEP 3: Convert Result to Output's Unit
-605 Newton --> No Conversion Required
FINAL ANSWER
-605 Newton <-- Force in y direction
(Calculation completed in 00.031 seconds)

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Terminal Velocity
terminal_velocity = (2/9)*Radius^2*(Density of the first phase-Density of the second phase)*Acceleration Due To Gravity/Dynamic viscosity Go
Poiseuille's Formula
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Center of Gravity
centre_of_gravity = Moment of Inertia/(Volume*(Centre of Buoyancy+Metacenter)) Go
Center of Buoyancy
centre_of_buoyancy = Moment of Inertia/(Volume*Centre of gravity)-Metacenter Go
Metacenter
metacenter = Moment of Inertia/(Volume*Centre of gravity)-Centre of Buoyancy Go
Upthrust Force
upthrust_force = Volume Immersed*Acceleration Due To Gravity*Liquid Density Go
Viscous Stress
viscous_stress = Dynamic viscosity*Velocity Gradient/Fluid Thickness Go
Turbulence
turbulent_stress = Density*Dynamic viscosity*Fluid Velocity Go
Knudsen Number
knudsen_number = Mean free path of molecule/Characteristic length of flow Go
Kinematic viscosity
kinematic_viscosity = Dynamic viscosity/Mass Density Go

Force acting in y-direction in momentum equation Formula

Force_acting_in_y_direction = (Density*Discharge)*((-Velocity at section 2-2*sin(Theta))-(Pressure at section 2*Cross-Sectional area at a point 2*sin(Theta)))
Fy = (ρl*Q)*((-V2*sin(ϑ))-(P2*A2*sin(ϑ)))

What is force in direction?

A force is a push or pull upon an object resulting from the object's interaction with another object. The direction of the force is in the same direction the object moves. The direction of the force is in the direction opposite the object's direction of motion.

What is Bernoulli's equation and principle?

Bernoulli's equation formula is a relation between pressure, kinetic energy, and gravitational potential energy of a fluid in a container. The formula for Bernoulli's principle is given as: p + 12 ρ v2 + ρgh =constant. Where, p is the pressure exerted by the fluid.

How to Calculate Force acting in y-direction in momentum equation?

Force acting in y-direction in momentum equation calculator uses Force_acting_in_y_direction = (Density*Discharge)*((-Velocity at section 2-2*sin(Theta))-(Pressure at section 2*Cross-Sectional area at a point 2*sin(Theta))) to calculate the Force in y direction, The Force acting in y-direction in momentum equation formula is defined as the force acting in the direction of the y component which has both magnitude and direction. Force in y direction is denoted by Fy symbol.

How to calculate Force acting in y-direction in momentum equation using this online calculator? To use this online calculator for Force acting in y-direction in momentum equation, enter Density (ρl), Discharge (Q), Velocity at section 2-2 (V2), Theta (ϑ), Pressure at section 2 (P2) & Cross-Sectional area at a point 2 (A2) and hit the calculate button. Here is how the Force acting in y-direction in momentum equation calculation can be explained with given input values -> -605 = (1*1)*((-10*sin(0.5235987755982))-(120*10*sin(0.5235987755982))).

FAQ

What is Force acting in y-direction in momentum equation?
The Force acting in y-direction in momentum equation formula is defined as the force acting in the direction of the y component which has both magnitude and direction and is represented as Fy = (ρl*Q)*((-V2*sin(ϑ))-(P2*A2*sin(ϑ))) or Force_acting_in_y_direction = (Density*Discharge)*((-Velocity at section 2-2*sin(Theta))-(Pressure at section 2*Cross-Sectional area at a point 2*sin(Theta))). Density is mass of a unit volume of a material substance, Discharge is the rate of flow of a liquid, The Velocity at section 2-2 is the flow velocity of the liquid flowing in a pipe at a particular section after the sudden enlargement of the pipe size, Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint, Pressure at section 2 is defined as the physical force exerted on an object & Cross-Sectional area at a point 2 is the area of cross section at a point 2.
How to calculate Force acting in y-direction in momentum equation?
The Force acting in y-direction in momentum equation formula is defined as the force acting in the direction of the y component which has both magnitude and direction is calculated using Force_acting_in_y_direction = (Density*Discharge)*((-Velocity at section 2-2*sin(Theta))-(Pressure at section 2*Cross-Sectional area at a point 2*sin(Theta))). To calculate Force acting in y-direction in momentum equation, you need Density (ρl), Discharge (Q), Velocity at section 2-2 (V2), Theta (ϑ), Pressure at section 2 (P2) & Cross-Sectional area at a point 2 (A2). With our tool, you need to enter the respective value for Density, Discharge, Velocity at section 2-2, Theta, Pressure at section 2 & Cross-Sectional area at a point 2 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Force in y direction?
In this formula, Force in y direction uses Density, Discharge, Velocity at section 2-2, Theta, Pressure at section 2 & Cross-Sectional area at a point 2. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • knudsen_number = Mean free path of molecule/Characteristic length of flow
  • kinematic_viscosity = Dynamic viscosity/Mass Density
  • terminal_velocity = (2/9)*Radius^2*(Density of the first phase-Density of the second phase)*Acceleration Due To Gravity/Dynamic viscosity
  • upthrust_force = Volume Immersed*Acceleration Due To Gravity*Liquid Density
  • metacenter = Moment of Inertia/(Volume*Centre of gravity)-Centre of Buoyancy
  • centre_of_buoyancy = Moment of Inertia/(Volume*Centre of gravity)-Metacenter
  • centre_of_gravity = Moment of Inertia/(Volume*(Centre of Buoyancy+Metacenter))
  • viscous_stress = Dynamic viscosity*Velocity Gradient/Fluid Thickness
  • feed_flow_rate_volumetric = Pressure change*(pi/8)*(Radius^4)/(Dynamic viscosity*Length)
  • turbulent_stress = Density*Dynamic viscosity*Fluid Velocity
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