Radial Distance given Centripetal Acceleration 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%
✖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 refers to the distance between whisker sensor's pivot point to whisker-object contact point.ⓘ Radial Distance given Centripetal Acceleration from Axis [d_r]

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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)
d_r = a_c/(ω^2)
This formula uses 3 Variables

Variables Used

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.
Centripetal acceleration - (Measured in Meter per Square Second) - Centripetal acceleration refers to the 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: 2 Meter per Square Second --> 2 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

d_r = a_c/(ω^2) --> 2/(2^2)

Evaluating ... ...

d_r = 0.5

STEP 3: Convert Result to Output's Unit

0.5 Meter --> No Conversion Required

FINAL ANSWER

0.5 Meter <-- Radial Distance from Central Axis

(Calculation completed in 00.020 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal

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< 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])

Radial Distance given Centripetal Acceleration from Axis Formula

LaTeX Go

Radial Distance from Central Axis = Centripetal acceleration/(Angular Velocity^2)
d_r = a_c/(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 formula is defined as the distance from axis at which acceleration is calculated. Radial Distance from Central Axis is denoted by d_r 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 (a_c) & 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 = 2/(2^2).

FAQ

What is Radial Distance given Centripetal Acceleration from Axis?

The Radial Distance given Centripetal Acceleration from Axis formula is defined as the distance from axis at which acceleration is calculated and is represented as d_r = a_c/(ω^2) or Radial Distance from Central Axis = Centripetal acceleration/(Angular Velocity^2). Centripetal acceleration refers to the 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 formula is defined as the 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 (a_c) & 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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