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

✖Centripetal acceleration refers to the property of the motion of a body traversing a circular path.ⓘ Centripetal acceleration [a_c]			+10% -10%
✖Radial Distance from Central Axis refers to the distance between whisker sensor's pivot point to whisker-object contact point.ⓘ Radial Distance from Central Axis [d_r]			+10% -10%

✖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.ⓘ Constant Angular Velocity given Centripetal acceleration at radial distance r from axis [ω]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Hydraulics and Waterworks Formula PDF PDF Image

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

STEP 0: Pre-Calculation Summary

Formula Used

Angular Velocity = sqrt(Centripetal acceleration/Radial Distance from Central Axis)
ω = sqrt(a_c/d_r)
This formula uses 1 Functions, 3 Variables

Functions Used

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

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

STEP 1: Convert Input(s) to Base Unit

Centripetal acceleration: 2 Meter per Square Second --> 2 Meter per Square 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

ω = sqrt(a_c/d_r) --> sqrt(2/0.5)

Evaluating ... ...

ω = 2

STEP 3: Convert Result to Output's Unit

2 Radian per Second --> No Conversion Required

FINAL ANSWER

2 Radian per Second <-- Angular Velocity

(Calculation completed in 00.004 seconds)

You are here -

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

Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

Verified by M Naveen

National Institute of Technology (NIT), Warangal

M Naveen has verified this Calculator and 900+ more calculators!

< Cylindrical Vessel Containing Liquid Rotating with its Axis Vertical Calculators

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

LaTeX 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

LaTeX 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

Constant Angular Velocity given Equation of Free Surface of Liquid

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

Equation of Free Surface of liquid

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

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

LaTeX Go

Angular Velocity = sqrt(Centripetal acceleration/Radial Distance from Central Axis)
ω = sqrt(a_c/d_r)

What is Angular Velocity?

Angular velocity, time rate at which an object rotates, or revolves, about an axis, or at which the angular displacement between two bodies changes. In the figure, this displacement is represented by the angle θ between a line on one body and a line on the other.

How to Calculate Constant Angular Velocity given Centripetal acceleration at radial distance r from axis?

Constant Angular Velocity given Centripetal acceleration at radial distance r from axis calculator uses Angular Velocity = sqrt(Centripetal acceleration/Radial Distance from Central Axis) to calculate the Angular Velocity, The Constant Angular Velocity given Centripetal acceleration at radial distance r from axis formula is defined as velocity with which fluid is rotating. Angular Velocity is denoted by ω symbol.

How to calculate Constant Angular Velocity given Centripetal acceleration at radial distance r from axis using this online calculator? To use this online calculator for Constant Angular Velocity given Centripetal acceleration at radial distance r from axis, enter Centripetal acceleration (a_c) & Radial Distance from Central Axis (d_r) and hit the calculate button. Here is how the Constant Angular Velocity given Centripetal acceleration at radial distance r from axis calculation can be explained with given input values -> 4.242641 = sqrt(2/0.5).

FAQ

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

The Constant Angular Velocity given Centripetal acceleration at radial distance r from axis formula is defined as velocity with which fluid is rotating and is represented as ω = sqrt(a_c/d_r) or Angular Velocity = sqrt(Centripetal acceleration/Radial Distance from Central Axis). Centripetal acceleration refers to the property of the motion of a body traversing a circular path & Radial Distance from Central Axis refers to the distance between whisker sensor's pivot point to whisker-object contact point.

How to calculate Constant Angular Velocity given Centripetal acceleration at radial distance r from axis?

The Constant Angular Velocity given Centripetal acceleration at radial distance r from axis formula is defined as velocity with which fluid is rotating is calculated using Angular Velocity = sqrt(Centripetal acceleration/Radial Distance from Central Axis). To calculate Constant Angular Velocity given Centripetal acceleration at radial distance r from axis, you need Centripetal acceleration (a_c) & Radial Distance from Central Axis (d_r). With our tool, you need to enter the respective value for Centripetal acceleration & 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.

How many ways are there to calculate Angular Velocity?

In this formula, Angular Velocity uses Centripetal acceleration & Radial Distance from Central Axis. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

Home

FREE PDFs

🔍 Search