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

STEP 0: Pre-Calculation Summary
Formula Used
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)))
AJet = (Fjet*[g])/(γf*vjet^2*(1+cos(θt)))
This formula uses 1 Constants, 1 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)
Variables Used
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.
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.
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.
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
Fluid Jet Velocity: 12 Meter per Second --> 12 Meter per Second 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
AJet = (Fjet*[g])/(γf*vjet^2*(1+cos(θt))) --> (320*[g])/(9.81*12^2*(1+cos(0.54105206811814)))
Evaluating ... ...
AJet = 1.19615683441333
STEP 3: Convert Result to Output's Unit
1.19615683441333 Square Meter --> No Conversion Required
FINAL ANSWER
1.19615683441333 1.196157 Square Meter <-- Cross Sectional Area of Jet
(Calculation completed in 00.004 seconds)

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Created by M Naveen
National Institute of Technology (NIT), Warangal
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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]

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

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)))
AJet = (Fjet*[g])/(γf*vjet^2*(1+cos(θt)))

What is meant by Cross sectional area?

The Cross sectional area for force exerted on plate in direction of flow of jet is the area of a two-dimensional shape that is obtained when a three-dimensional object - such as a cylinder.

What is meant by Velocity?

The Velocity of an object is defined as the rate of change of its position with respect to a frame of reference, and is a function of time.

How to Calculate Cross Sectional Area for Force Exerted on Plate in Direction of Flow of Jet?

Cross Sectional Area for Force Exerted on Plate in Direction of Flow of Jet calculator uses 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))) to calculate the Cross Sectional Area of Jet, Cross Sectional Area for Force Exerted on Plate in Direction of Flow of Jet is defined as the area of a two-dimensional shape that is obtained when a three-dimensional object - such as a cylinder. Cross Sectional Area of Jet is denoted by AJet symbol.

How to calculate Cross Sectional Area for Force Exerted on Plate in Direction of Flow of Jet using this online calculator? To use this online calculator for Cross Sectional Area for Force Exerted on Plate in Direction of Flow of Jet, enter Force on Plate in Dir of Jet on Stat Curved Vane (Fjet), Specific Weight of Liquid f), Fluid Jet Velocity (vjet) & Half of Angle Between Two Tangent to Vane t) and hit the calculate button. Here is how the Cross Sectional Area for Force Exerted on Plate in Direction of Flow of Jet calculation can be explained with given input values -> 0.001196 = (320*[g])/(9810*12^2*(1+cos(0.54105206811814))).

FAQ

What is Cross Sectional Area for Force Exerted on Plate in Direction of Flow of Jet?
Cross Sectional Area for Force Exerted on Plate in Direction of Flow of Jet is defined as the area of a two-dimensional shape that is obtained when a three-dimensional object - such as a cylinder and is represented as AJet = (Fjet*[g])/(γf*vjet^2*(1+cos(θt))) or 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 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, Fluid Jet Velocity is the volume of fluid flowing in the given vessel per unit cross sectional area & 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 Cross Sectional Area for Force Exerted on Plate in Direction of Flow of Jet?
Cross Sectional Area for Force Exerted on Plate in Direction of Flow of Jet is defined as the area of a two-dimensional shape that is obtained when a three-dimensional object - such as a cylinder is calculated using 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))). To calculate Cross Sectional Area for Force Exerted on Plate in Direction of Flow of Jet, you need Force on Plate in Dir of Jet on Stat Curved Vane (Fjet), Specific Weight of Liquid f), Fluid Jet Velocity (vjet) & Half of Angle Between Two Tangent to Vane 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, Fluid Jet Velocity & 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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