Centripetal Acceleration of Fluid Particle Rotating with Constant Angular Velocity Calculator

✖Distance of Fluid Particle is defined as the distance of the fluid particle from Axis of Rotation.ⓘ Distance of Fluid Particle [r]			+10% -10%
✖Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.ⓘ Angular Velocity [ω]			+10% -10%

✖Centripetal Acceleration of Fluid Particle is defined as the tendency of the particle to move in circular motion when experiencing centripetal force towards the centre.ⓘ Centripetal Acceleration of Fluid Particle Rotating with Constant Angular Velocity [a_c]

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Centripetal Acceleration of Fluid Particle Rotating with Constant Angular Velocity

Formula

`"a"_{"c"} = "r"*("ω"^2)`

Example

`"9.68m/s²"="2m"*(("2.2rad/s")^2)`

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Centripetal Acceleration of Fluid Particle Rotating with Constant Angular Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Centripetal Acceleration of Fluid Particle = Distance of Fluid Particle*(Angular Velocity^2)
a_c = r*(ω^2)
This formula uses 3 Variables

Variables Used

Centripetal Acceleration of Fluid Particle - (Measured in Meter per Square Second) - Centripetal Acceleration of Fluid Particle is defined as the tendency of the particle to move in circular motion when experiencing centripetal force towards the centre.
Distance of Fluid Particle - (Measured in Meter) - Distance of Fluid Particle is defined as the distance of the fluid particle from Axis of Rotation.
Angular Velocity - (Measured in Radian per Second) - Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.

STEP 1: Convert Input(s) to Base Unit

Distance of Fluid Particle: 2 Meter --> 2 Meter No Conversion Required
Angular Velocity: 2.2 Radian per Second --> 2.2 Radian per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a_c = r*(ω^2) --> 2*(2.2^2)

Evaluating ... ...

a_c = 9.68

STEP 3: Convert Result to Output's Unit

9.68 Meter per Square Second --> No Conversion Required

FINAL ANSWER

9.68 Meter per Square Second <-- Centripetal Acceleration of Fluid Particle

(Calculation completed in 00.004 seconds)

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Created by Ayush gupta

University School of Chemical Technology-USCT (GGSIPU), New Delhi

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< 12 Fluids in Rigid Body Motion Calculators

Pressure at Point in Rigid Body Motion of Liquid in Linearly Accelerating Tank

Go Pressure at any Point in Fluid = Initial Pressure-(Density of Fluid*Acceleration in X Direction*Location of Point from Origin in X Direction)-(Density of Fluid*([g]+Acceleration in Z Direction)*Location of Point from Origin in Z Direction)

Equation for Free Surface of Liquid in Rotating Cylinder at Constant Pressure

Go Distance of Free Surface from Bottom of Container = Height of Free Surface of Liquid without Rotation-((Angular Velocity of Rotating Liquid^2/(4*[g]))*(Radius of Cylindrical Container^2-(2*Radius at any given Point^2)))

Vertical Rise or Drop of Free Surface given Acceleration in X and Z Direction

Go Change in Z Coordinate of Liquid's Free Surface = -(Acceleration in X Direction/([g]+Acceleration in Z Direction))*(Location of Point 2 from Origin in X Direction-Location of Point 1 from Origin in X Direction)

Angular Velocity of Liquid in Rotating Cylinder at Constant Pressure when r is Equal to R

Go Angular Velocity of Rotating Liquid = sqrt((4*[g]*(Distance of Free Surface from Bottom of Container-Height of Free Surface of Liquid without Rotation))/(Radius of Cylindrical Container^2))

Angular Velocity of Liquid in Rotating Cylinder just before Liquid Starts Spilling

Go Angular Velocity of Rotating Liquid = sqrt((4*[g]*(Height of Container-Height of Free Surface of Liquid without Rotation))/(Radius of Cylindrical Container^2))

Equation for Free Surface of Liquid in Rotating Cylinder at Constant Pressure when r is Equal to R

Go Distance of Free Surface from Bottom of Container = Height of Free Surface of Liquid without Rotation+(Angular Velocity of Rotating Liquid^2*Radius of Cylindrical Container^2/(4*[g]))

Free Surface Isobars in Incompressible Fluid with Constant Acceleration

Go Z Coordinate of Free Surface at Constant Pressure = -(Acceleration in X Direction/([g]+Acceleration in Z Direction))*Location of Point from Origin in X Direction

Height of Container given Radius and Angular Velocity of Container

Go Height of Container = Height of Free Surface of Liquid without Rotation+((Angular Velocity^2*Radius of Cylindrical Container^2)/(4*[g]))

Vertical Rise of Free Surface

Go Change in Z Coordinate of Liquid's Free Surface = Z Coordinate of Liquid Free Surface at Point 2-Z Coordinate of Liquid Free Surface at Point 1

Slope of Isobar

Go Slope of Isobar = -(Acceleration in X Direction/([g]+Acceleration in Z Direction))

Centripetal Acceleration of Fluid Particle Rotating with Constant Angular Velocity

Go Centripetal Acceleration of Fluid Particle = Distance of Fluid Particle*(Angular Velocity^2)

Slope of Isobar given Inclination Angle of Free Surface

Go Slope of Isobar = -tan(Inclination Angle of Free Surface)

Centripetal Acceleration of Fluid Particle Rotating with Constant Angular Velocity Formula

Centripetal Acceleration of Fluid Particle = Distance of Fluid Particle*(Angular Velocity^2)
a_c = r*(ω^2)

What is Fluid Mechanics?

Fluid dynamics is “the branch of applied science that is concerned with the movement of liquids and gases”. It involves a wide range of applications such as calculating force & moments, determining the mass flow rate of petroleum through pipelines, predicting weather patterns, understanding nebulae in interstellar space, and modelling fission weapon detonation.

What Is Centripetal Acceleration?

Centripetal acceleration is defined as the property of the motion of an object traversing a circular path. Any object that is moving in a circle and has an acceleration vector pointed towards the centre of that circle is known as Centripetal acceleration. You must have seen various examples of centripetal acceleration in your everyday life. If you drive a car around a circle, then your car is undergoing centripetal acceleration and a satellite orbiting the earth also follows a centripetal acceleration. Centripetal means towards the centre. The acceleration that is directed radially towards the centre of the circle having a magnitude equal to the square of the speed of the body along the curve is divided by the total distance from the centre of the circle to the moving body. The force which causes the acceleration is directed towards the centre of the circle and is called a centripetal force.

How to Calculate Centripetal Acceleration of Fluid Particle Rotating with Constant Angular Velocity?

Centripetal Acceleration of Fluid Particle Rotating with Constant Angular Velocity calculator uses Centripetal Acceleration of Fluid Particle = Distance of Fluid Particle*(Angular Velocity^2) to calculate the Centripetal Acceleration of Fluid Particle, The Centripetal Acceleration of Fluid Particle Rotating with Constant Angular Velocity formula is defined as the product of distance of the fluid particle from the axis of rotation and square of the angular velocity of the container in which the fluid is kept. centripetal acceleration, the acceleration of a body traversing a circular path. Because velocity is a vector quantity (that is, it has both a magnitude, the speed, and a direction), when a body travels on a circular path, its direction constantly changes and thus its velocity changes, producing an acceleration. The acceleration is directed radially toward the centre of the circle. The centripetal acceleration ac has a magnitude equal to the square of the body’s speed v along the curve divided by the distance r from the centre of the circle to the moving body; that is, Ac = V^2/r. Centripetal acceleration has units of metre per second squared. The force causing this acceleration is directed also toward the centre of the circle,is centripetal force. Centripetal Acceleration of Fluid Particle is denoted by a_c symbol.

How to calculate Centripetal Acceleration of Fluid Particle Rotating with Constant Angular Velocity using this online calculator? To use this online calculator for Centripetal Acceleration of Fluid Particle Rotating with Constant Angular Velocity, enter Distance of Fluid Particle (r) & Angular Velocity (ω) and hit the calculate button. Here is how the Centripetal Acceleration of Fluid Particle Rotating with Constant Angular Velocity calculation can be explained with given input values -> 9.68 = 2*(2.2^2).

FAQ

What is Centripetal Acceleration of Fluid Particle Rotating with Constant Angular Velocity?

The Centripetal Acceleration of Fluid Particle Rotating with Constant Angular Velocity formula is defined as the product of distance of the fluid particle from the axis of rotation and square of the angular velocity of the container in which the fluid is kept. centripetal acceleration, the acceleration of a body traversing a circular path. Because velocity is a vector quantity (that is, it has both a magnitude, the speed, and a direction), when a body travels on a circular path, its direction constantly changes and thus its velocity changes, producing an acceleration. The acceleration is directed radially toward the centre of the circle. The centripetal acceleration ac has a magnitude equal to the square of the body’s speed v along the curve divided by the distance r from the centre of the circle to the moving body; that is, Ac = V^2/r. Centripetal acceleration has units of metre per second squared. The force causing this acceleration is directed also toward the centre of the circle,is centripetal force and is represented as a_c = r*(ω^2) or Centripetal Acceleration of Fluid Particle = Distance of Fluid Particle*(Angular Velocity^2). Distance of Fluid Particle is defined as the distance of the fluid particle from Axis of Rotation & Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.

How to calculate Centripetal Acceleration of Fluid Particle Rotating with Constant Angular Velocity?

The Centripetal Acceleration of Fluid Particle Rotating with Constant Angular Velocity formula is defined as the product of distance of the fluid particle from the axis of rotation and square of the angular velocity of the container in which the fluid is kept. centripetal acceleration, the acceleration of a body traversing a circular path. Because velocity is a vector quantity (that is, it has both a magnitude, the speed, and a direction), when a body travels on a circular path, its direction constantly changes and thus its velocity changes, producing an acceleration. The acceleration is directed radially toward the centre of the circle. The centripetal acceleration ac has a magnitude equal to the square of the body’s speed v along the curve divided by the distance r from the centre of the circle to the moving body; that is, Ac = V^2/r. Centripetal acceleration has units of metre per second squared. The force causing this acceleration is directed also toward the centre of the circle,is centripetal force is calculated using Centripetal Acceleration of Fluid Particle = Distance of Fluid Particle*(Angular Velocity^2). To calculate Centripetal Acceleration of Fluid Particle Rotating with Constant Angular Velocity, you need Distance of Fluid Particle (r) & Angular Velocity (ω). With our tool, you need to enter the respective value for Distance of Fluid Particle & Angular Velocity 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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