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Radial Distance given Centripetal Acceleration from Axis Formula

GoRadial Distance for Pressure at Any Point with Origin at Free Surface Formula

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Radial Distance from Central Axis refers to the distance between whisker sensor's pivot point to whisker-object contact point. Check FAQs

d r = \frac{a c}{ω^{2}}

d_r - Radial Distance from Central Axis?a_c - Centripetal acceleration?ω - Angular Velocity?

Radial Distance given Centripetal Acceleration from Axis Example

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Here is how the Radial Distance given Centripetal Acceleration from Axis equation looks like with Values.

Here is how the Radial Distance given Centripetal Acceleration from Axis equation looks like with Units.

Here is how the Radial Distance given Centripetal Acceleration from Axis equation looks like.

0.5 = \frac{2}{2^{2}}

0.5m = \frac{2m/s²}{{2rad/s}^{2}}

0.5 = \frac{2}{2^{2}}

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Radial Distance given Centripetal Acceleration from Axis Solution

Follow our step by step solution on how to calculate Radial Distance given Centripetal Acceleration from Axis?

FIRST Step Consider the formula

d r = \frac{a c}{ω^{2}}

Next Step Substitute values of Variables

∴

d r = \frac{2m/s²}{{2rad/s}^{2}}

Next Step Prepare to Evaluate

∴

d r = \frac{2}{2^{2}}

LAST Step Evaluate

∴

d r = 0.5m

Radial Distance given Centripetal Acceleration from Axis Formula Elements

Variables

Radial Distance from Central Axis

Radial Distance from Central Axis refers to the distance between whisker sensor's pivot point to whisker-object contact point.

Symbol: d_r

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Radial Distance from Central Axis

Centripetal acceleration

Centripetal acceleration refers to the property of the motion of a body traversing a circular path.

Symbol: a_c

Measurement: AccelerationUnit: m/s²

Note: Value should be greater than 0.

Formulas to find Centripetal acceleration

Angular Velocity

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.

Symbol: ω

Measurement: Angular VelocityUnit: rad/s

Note: Value can be positive or negative.

Formulas to find Angular Velocity

Other Formulas to find Radial Distance from Central Axis

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

d r = \sqrt{(2 \cdot \frac{[g]}{y} \cdot (ω^{2})) \cdot (P Abs - P atm + y \cdot h)}

Other formulas in Cylindrical Vessel Containing Liquid Rotating with its Axis Vertical category

Go Constant Angular Velocity given Equation of Free Surface of Liquid

ω = \sqrt{h \cdot \frac{2 \cdot [g]}{{d'}^{2}}}

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

h = \frac{P atm - P Abs + (\frac{y}{[g]}) \cdot (0.5 \cdot {(ω \cdot d r)}^{2})}{ω}

Go Equation of Free Surface of liquid

h = \frac{{(ω \cdot d')}^{2}}{2 \cdot [g]}

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

P atm = P Abs - ((\frac{y}{[g]}) \cdot (0.5 \cdot {(ω \cdot d r)}^{2}) + ω \cdot h)

How to Evaluate Radial Distance given Centripetal Acceleration from Axis?

Radial Distance given Centripetal Acceleration from Axis evaluator uses Radial Distance from Central Axis = Centripetal acceleration/(Angular Velocity^2) to evaluate 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 evaluate Radial Distance given Centripetal Acceleration from Axis using this online evaluator? To use this online evaluator for Radial Distance given Centripetal Acceleration from Axis, enter Centripetal acceleration (a_c) & Angular Velocity (ω) and hit the calculate button.

FAQs on Radial Distance given Centripetal Acceleration from Axis

What is the formula to find Radial Distance given Centripetal Acceleration from Axis?

The formula of Radial Distance given Centripetal Acceleration from Axis is expressed as Radial Distance from Central Axis = Centripetal acceleration/(Angular Velocity^2). Here is an example- 2.25 = 2/(2^2).

How to calculate Radial Distance given Centripetal Acceleration from Axis?

With Centripetal acceleration (a_c) & Angular Velocity (ω) we can find Radial Distance given Centripetal Acceleration from Axis using the formula - Radial Distance from Central Axis = Centripetal acceleration/(Angular Velocity^2).

What are the other ways to Calculate Radial Distance from Central Axis?

Here are the different ways to Calculate Radial Distance from Central Axis-

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))

Can the Radial Distance given Centripetal Acceleration from Axis be negative?

Yes, the Radial Distance given Centripetal Acceleration from Axis, measured in Length can be negative.

Which unit is used to measure Radial Distance given Centripetal Acceleration from Axis?

Radial Distance given Centripetal Acceleration from Axis is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Radial Distance given Centripetal Acceleration from Axis can be measured.

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