Centripetal Acceleration Exerted on Liquid Mass at Radial Distance from Axis Calculator

✖The 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%
✖Radial distance from Central Axis is defined as distance between whisker sensor's pivot point to whisker-object contact point.ⓘ Radial Distance from Central Axis [d_r]			+10% -10%

✖Centripetal acceleration is property of the motion of a body traversing a circular path.ⓘ Centripetal Acceleration Exerted on Liquid Mass at Radial Distance from Axis [a_c]

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Centripetal Acceleration Exerted on Liquid Mass at Radial Distance from Axis

Formula

`"a"_{"c"} = ("ω"^2)*"d"_{"r"}`

Example

`"2m/s²"=(("2rad/s")^2)*"0.5m"`

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Centripetal Acceleration Exerted on Liquid Mass at Radial Distance from Axis Solution

STEP 0: Pre-Calculation Summary

Formula Used

Centripetal acceleration = (Angular Velocity^2)*Radial Distance from Central Axis
a_c = (ω^2)*d_r
This formula uses 3 Variables

Variables Used

Centripetal acceleration - (Measured in Meter per Square Second) - Centripetal acceleration is property of the motion of a body traversing a circular path.
Angular Velocity - (Measured in Radian per Second) - The 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.
Radial Distance from Central Axis - (Measured in Meter) - Radial distance from Central Axis is defined as distance between whisker sensor's pivot point to whisker-object contact point.

STEP 1: Convert Input(s) to Base Unit

Angular Velocity: 2 Radian per Second --> 2 Radian per Second No Conversion Required
Radial Distance from Central Axis: 0.5 Meter --> 0.5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a_c = (ω^2)*d_r --> (2^2)*0.5

Evaluating ... ...

a_c = 2

STEP 3: Convert Result to Output's Unit

2 Meter per Square Second --> No Conversion Required

FINAL ANSWER

2 Meter per Square Second <-- Centripetal acceleration

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Liquids in Relative Equilibrium » Fluid Containers Subjected to Constant Rotation » Cylindrical Vessel Containing Liquid Rotating with its Axis Vertical » Centripetal Acceleration Exerted on Liquid Mass at Radial Distance from Axis

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National Institute of Technology Karnataka (NITK), Surathkal

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< 9 Cylindrical Vessel Containing Liquid Rotating with its Axis Vertical Calculators

Radial Distance for Pressure at Any Point with Origin at Free Surface

Go Radial Distance from Central Axis = sqrt((2*[g]/Specific Weight of Liquid*(Angular Velocity^2))*(Absolute Pressure-Atmospheric Pressure+Specific Weight of Liquid*Height of Crack))

Atmospheric Pressure given Pressure at any Point with Origin at Free Surface

Go Atmospheric Pressure = Absolute Pressure-((Specific Weight of Liquid/[g])*(0.5*(Angular Velocity*Radial Distance from Central Axis)^2)+Angular Velocity*Height of Crack)

Vertical Depth given Pressure at any point with Origin at Free Surface

Go Height of Crack = (Atmospheric Pressure-Absolute Pressure+(Specific Weight of Liquid/[g])*(0.5*(Angular Velocity*Radial Distance from Central Axis)^2))/Angular Velocity

Pressure at any Point with Origin at Free Surface

Go Absolute Pressure = Atmospheric Pressure+(Specific Weight of Liquid/[g])*(0.5*(Angular Velocity*Radial Distance from Central Axis)^2)-Angular Velocity*Height of Crack

Constant Angular Velocity given Equation of Free Surface of Liquid

Go Angular Velocity = sqrt(Height of Crack*(2*[g])/(Distance from Center to Point^2))

Constant Angular Velocity given Centripetal acceleration at radial distance r from axis

Go Angular Velocity = sqrt(Centripetal acceleration/Radial Distance from Central Axis)

Equation of Free Surface of liquid

Go Height of Crack = ((Angular Velocity*Distance from Center to Point)^2)/(2*[g])

Centripetal Acceleration Exerted on Liquid Mass at Radial Distance from Axis

Go Centripetal acceleration = (Angular Velocity^2)*Radial Distance from Central Axis

Radial Distance given Centripetal Acceleration from Axis

Go Radial Distance from Central Axis = Centripetal acceleration/(Angular Velocity^2)

Centripetal Acceleration Exerted on Liquid Mass at Radial Distance from Axis Formula

Centripetal acceleration = (Angular Velocity^2)*Radial Distance from Central Axis
a_c = (ω^2)*d_r

What is Centripetal Acceleration?

Centripetal acceleration, property of the motion of a body traversing a circular path. The acceleration is directed radially toward the centre of the circle and has a magnitude equal to the square of the body's speed along the curve divided by the distance from the centre of the circle to the moving body.

How to Calculate Centripetal Acceleration Exerted on Liquid Mass at Radial Distance from Axis?

Centripetal Acceleration Exerted on Liquid Mass at Radial Distance from Axis calculator uses Centripetal acceleration = (Angular Velocity^2)*Radial Distance from Central Axis to calculate the Centripetal acceleration, The Centripetal Acceleration Exerted on Liquid Mass at Radial Distance from Axis is defined as the acceleration of a body traversing a circular path. Centripetal acceleration is denoted by a_c symbol.

How to calculate Centripetal Acceleration Exerted on Liquid Mass at Radial Distance from Axis using this online calculator? To use this online calculator for Centripetal Acceleration Exerted on Liquid Mass at Radial Distance from Axis, enter Angular Velocity (ω) & Radial Distance from Central Axis (d_r) and hit the calculate button. Here is how the Centripetal Acceleration Exerted on Liquid Mass at Radial Distance from Axis calculation can be explained with given input values -> 8.4 = (2^2)*0.5.

FAQ

What is Centripetal Acceleration Exerted on Liquid Mass at Radial Distance from Axis?

The Centripetal Acceleration Exerted on Liquid Mass at Radial Distance from Axis is defined as the acceleration of a body traversing a circular path and is represented as a_c = (ω^2)*d_r or Centripetal acceleration = (Angular Velocity^2)*Radial Distance from Central Axis. The 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 & Radial distance from Central Axis is defined as distance between whisker sensor's pivot point to whisker-object contact point.

How to calculate Centripetal Acceleration Exerted on Liquid Mass at Radial Distance from Axis?

The Centripetal Acceleration Exerted on Liquid Mass at Radial Distance from Axis is defined as the acceleration of a body traversing a circular path is calculated using Centripetal acceleration = (Angular Velocity^2)*Radial Distance from Central Axis. To calculate Centripetal Acceleration Exerted on Liquid Mass at Radial Distance from Axis, you need Angular Velocity (ω) & Radial Distance from Central Axis (d_r). With our tool, you need to enter the respective value for Angular Velocity & Radial Distance from Central Axis 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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