Velocity for Force Exerted on Plate in Direction of Flow of Jet Calculator

✖Force on Plate in Dir of Jet on Stat Curved Vane is any interaction that, when unopposed, will change the motion of an object in Direction of Flow of Jet on Stationary Curved Vane.ⓘ Force on Plate in Dir of Jet on Stat Curved Vane [F_jet]			+10% -10%
✖Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid.ⓘ Specific Weight of Liquid [γ_f]			+10% -10%
✖Cross Sectional Area of Jet is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.ⓘ Cross Sectional Area of Jet [A_Jet]			+10% -10%
✖Half of Angle Between Two Tangent to Vane is an angle that can be defined as the figure formed by Two Tangent to Vane.ⓘ Half of Angle Between Two Tangent to Vane [θ_t]			+10% -10%

✖Fluid Jet Velocity is the volume of fluid flowing in the given vessel per unit cross sectional area.ⓘ Velocity for Force Exerted on Plate in Direction of Flow of Jet [v_jet]

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Formula

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Velocity for Force Exerted on Plate in Direction of Flow of Jet

Formula

`"v"_{"jet"} = sqrt(("F"_{"jet"}*"[g]")/("γ"_{"f"}*"A"_{"Jet"}*(1+cos("θ"_{"t"}))))`

Example

`"11.98077m/s"=sqrt(("320N"*"[g]")/("9.81kN/m³"*"1.2m²"*(1+cos("31°"))))`

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Download Force Exerted by Fluid Jet on Stationary Flat Plate Formulas PDF

Velocity for Force Exerted on Plate in Direction of Flow of Jet Solution

STEP 0: Pre-Calculation Summary

Formula Used

Fluid Jet Velocity = sqrt((Force on Plate in Dir of Jet on Stat Curved Vane*[g])/(Specific Weight of Liquid*Cross Sectional Area of Jet*(1+cos(Half of Angle Between Two Tangent to Vane))))
v_jet = sqrt((F_jet*[g])/(γ_f*A_Jet*(1+cos(θ_t))))
This formula uses 1 Constants, 2 Functions, 5 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Fluid Jet Velocity - (Measured in Meter per Second) - Fluid Jet Velocity is the volume of fluid flowing in the given vessel per unit cross sectional area.
Force on Plate in Dir of Jet on Stat Curved Vane - (Measured in Newton) - Force on Plate in Dir of Jet on Stat Curved Vane is any interaction that, when unopposed, will change the motion of an object in Direction of Flow of Jet on Stationary Curved Vane.
Specific Weight of Liquid - (Measured in Kilonewton per Cubic Meter) - Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid.
Cross Sectional Area of Jet - (Measured in Square Meter) - Cross Sectional Area of Jet is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.
Half of Angle Between Two Tangent to Vane - (Measured in Radian) - Half of Angle Between Two Tangent to Vane is an angle that can be defined as the figure formed by Two Tangent to Vane.

STEP 1: Convert Input(s) to Base Unit

Force on Plate in Dir of Jet on Stat Curved Vane: 320 Newton --> 320 Newton No Conversion Required
Specific Weight of Liquid: 9.81 Kilonewton per Cubic Meter --> 9.81 Kilonewton per Cubic Meter No Conversion Required
Cross Sectional Area of Jet: 1.2 Square Meter --> 1.2 Square Meter No Conversion Required
Half of Angle Between Two Tangent to Vane: 31 Degree --> 0.54105206811814 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_jet = sqrt((F_jet*[g])/(γ_f*A_Jet*(1+cos(θ_t)))) --> sqrt((320*[g])/(9.81*1.2*(1+cos(0.54105206811814))))

Evaluating ... ...

v_jet = 11.9807687620453

STEP 3: Convert Result to Output's Unit

11.9807687620453 Meter per Second --> No Conversion Required

FINAL ANSWER

11.9807687620453 ≈ 11.98077 Meter per Second <-- Fluid Jet Velocity

(Calculation completed in 00.007 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Impact of Free Jets » Force Exerted by Fluid Jet on Stationary Flat Plate » Jet Striking a Symmetrical Stationary Curved Vane at the Centre » Velocity for Force Exerted on Plate in Direction of Flow of Jet

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Created by M Naveen

National Institute of Technology (NIT), Warangal

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Verified by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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< 4 Jet Striking a Symmetrical Stationary Curved Vane at the Centre Calculators

Velocity for Force Exerted on Plate in Direction of Flow of Jet

Go Fluid Jet Velocity = sqrt((Force on Plate in Dir of Jet on Stat Curved Vane*[g])/(Specific Weight of Liquid*Cross Sectional Area of Jet*(1+cos(Half of Angle Between Two Tangent to Vane))))

Force Exerted on Plate in Direction of Flow of Jet on Stationary Curved Vane

Go Force on Plate in Dir of Jet on Stat Curved Vane = ((Specific Weight of Liquid*Cross Sectional Area of Jet*Fluid Jet Velocity^2)/[g])*(1+cos(Half of Angle Between Two Tangent to Vane))

Cross Sectional Area for Force Exerted on Plate in Direction of Flow of Jet

Go Cross Sectional Area of Jet = (Force on Plate in Dir of Jet on Stat Curved Vane*[g])/(Specific Weight of Liquid*Fluid Jet Velocity^2*(1+cos(Half of Angle Between Two Tangent to Vane)))

Force Exerted on Plate in Direction of Flow of Jet when Theta is Zero

Go Force on Plate in Dir of Jet on Stat Curved Vane = (2*Specific Weight of Liquid*Cross Sectional Area of Jet*Fluid Jet Velocity^2)/[g]

Velocity for Force Exerted on Plate in Direction of Flow of Jet Formula

What is meant by Velocity?

The Velocity for force exerted on plate in direction of flow of jet is the rate of change of its position with respect to a frame of reference, and is a function of time.

What is a vane in fluid mechanics?

When a jet of fluid strikes a stationary vane, the vane decelerates the fluid in a given direction. Even if the speed of the fluid is unchanged, a change in direction produces changes in the velocity vectors and hence momentum forces are produced.

How to Calculate Velocity for Force Exerted on Plate in Direction of Flow of Jet?

Velocity for Force Exerted on Plate in Direction of Flow of Jet calculator uses Fluid Jet Velocity = sqrt((Force on Plate in Dir of Jet on Stat Curved Vane*[g])/(Specific Weight of Liquid*Cross Sectional Area of Jet*(1+cos(Half of Angle Between Two Tangent to Vane)))) to calculate the Fluid Jet Velocity, Velocity for Force Exerted on Plate in Direction of Flow of Jet is the rate of change of its position with respect to a frame of reference, and is a function of time. Fluid Jet Velocity is denoted by v_jet symbol.

How to calculate Velocity for Force Exerted on Plate in Direction of Flow of Jet using this online calculator? To use this online calculator for Velocity for Force Exerted on Plate in Direction of Flow of Jet, enter Force on Plate in Dir of Jet on Stat Curved Vane (F_jet), Specific Weight of Liquid (γ_f), Cross Sectional Area of Jet (A_Jet) & Half of Angle Between Two Tangent to Vane (θ_t) and hit the calculate button. Here is how the Velocity for Force Exerted on Plate in Direction of Flow of Jet calculation can be explained with given input values -> 0.347062 = sqrt((320*[g])/(9810*1.2*(1+cos(0.54105206811814)))).

FAQ

What is Velocity for Force Exerted on Plate in Direction of Flow of Jet?

Velocity for Force Exerted on Plate in Direction of Flow of Jet is the rate of change of its position with respect to a frame of reference, and is a function of time and is represented as v_jet = sqrt((F_jet*[g])/(γ_f*A_Jet*(1+cos(θ_t)))) or Fluid Jet Velocity = sqrt((Force on Plate in Dir of Jet on Stat Curved Vane*[g])/(Specific Weight of Liquid*Cross Sectional Area of Jet*(1+cos(Half of Angle Between Two Tangent to Vane)))). Force on Plate in Dir of Jet on Stat Curved Vane is any interaction that, when unopposed, will change the motion of an object in Direction of Flow of Jet on Stationary Curved Vane, Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid, Cross Sectional Area of Jet is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point & Half of Angle Between Two Tangent to Vane is an angle that can be defined as the figure formed by Two Tangent to Vane.

How to calculate Velocity for Force Exerted on Plate in Direction of Flow of Jet?

Velocity for Force Exerted on Plate in Direction of Flow of Jet is the rate of change of its position with respect to a frame of reference, and is a function of time is calculated using Fluid Jet Velocity = sqrt((Force on Plate in Dir of Jet on Stat Curved Vane*[g])/(Specific Weight of Liquid*Cross Sectional Area of Jet*(1+cos(Half of Angle Between Two Tangent to Vane)))). To calculate Velocity for Force Exerted on Plate in Direction of Flow of Jet, you need Force on Plate in Dir of Jet on Stat Curved Vane (F_jet), Specific Weight of Liquid (γ_f), Cross Sectional Area of Jet (A_Jet) & Half of Angle Between Two Tangent to Vane (θ_t). With our tool, you need to enter the respective value for Force on Plate in Dir of Jet on Stat Curved Vane, Specific Weight of Liquid, Cross Sectional Area of Jet & Half of Angle Between Two Tangent to Vane and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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