Radial Distance given Centripetal Acceleration from Axis Solution

STEP 0: Pre-Calculation Summary
Formula Used
Radial Distance from Central Axis = Centripetal acceleration/(Angular Velocity^2)
dr = ac/(ω^2)
This formula uses 3 Variables
Variables Used
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.
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.
STEP 1: Convert Input(s) to Base Unit
Centripetal acceleration: 9 Meter per Square Second --> 9 Meter per Square Second No Conversion Required
Angular Velocity: 2 Radian per Second --> 2 Radian per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
dr = ac/(ω^2) --> 9/(2^2)
Evaluating ... ...
dr = 2.25
STEP 3: Convert Result to Output's Unit
2.25 Meter --> No Conversion Required
FINAL ANSWER
2.25 Meter <-- Radial Distance from Central Axis
(Calculation completed in 00.004 seconds)

Credits

Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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National Institute of Technology (NIT), Warangal
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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)

Radial Distance given Centripetal Acceleration from Axis Formula

Radial Distance from Central Axis = Centripetal acceleration/(Angular Velocity^2)
dr = ac/(ω^2)

What is Radial Distance?

The radius or radial distance is the Euclidean distance from the origin O to P. The inclination (or polar angle) is the angle between the zenith direction and the line segment OP.

How to Calculate Radial Distance given Centripetal Acceleration from Axis?

Radial Distance given Centripetal Acceleration from Axis calculator uses Radial Distance from Central Axis = Centripetal acceleration/(Angular Velocity^2) to calculate the Radial Distance from Central Axis, The Radial Distance given Centripetal Acceleration from Axis is defined as distance from axis at which acceleration is calculated. Radial Distance from Central Axis is denoted by dr symbol.

How to calculate Radial Distance given Centripetal Acceleration from Axis using this online calculator? To use this online calculator for Radial Distance given Centripetal Acceleration from Axis, enter Centripetal acceleration (ac) & Angular Velocity (ω) and hit the calculate button. Here is how the Radial Distance given Centripetal Acceleration from Axis calculation can be explained with given input values -> 2.25 = 9/(2^2).

FAQ

What is Radial Distance given Centripetal Acceleration from Axis?
The Radial Distance given Centripetal Acceleration from Axis is defined as distance from axis at which acceleration is calculated and is represented as dr = ac/(ω^2) or Radial Distance from Central Axis = Centripetal acceleration/(Angular Velocity^2). Centripetal acceleration is property of the motion of a body traversing a circular path & 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.
How to calculate Radial Distance given Centripetal Acceleration from Axis?
The Radial Distance given Centripetal Acceleration from Axis is defined as distance from axis at which acceleration is calculated is calculated using Radial Distance from Central Axis = Centripetal acceleration/(Angular Velocity^2). To calculate Radial Distance given Centripetal Acceleration from Axis, you need Centripetal acceleration (ac) & Angular Velocity (ω). With our tool, you need to enter the respective value for Centripetal acceleration & Angular Velocity 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 Radial Distance from Central Axis?
In this formula, Radial Distance from Central Axis uses Centripetal acceleration & Angular Velocity. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • 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))
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