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Uncertainty in Velocity Calculator

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✖Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.ⓘ Mass [Mass_{flight path}]			+10% -10%
✖Uncertainty in Position is the accuracy of the measurement of particle.ⓘ Uncertainty in Position [Δx]			+10% -10%

✖Velocity Uncertainty is the accuracy of the speed of particle.ⓘ Uncertainty in Velocity [ΔV_u]

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Uncertainty in Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity Uncertainty = [hP]/(4*pi*Mass*Uncertainty in Position)
ΔV_u = [hP]/(4*pi*Mass_{flight path}*Δx)
This formula uses 2 Constants, 3 Variables

Constants Used

[hP] - Planck constant Value Taken As 6.626070040E-34
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Velocity Uncertainty - (Measured in Meter per Second) - Velocity Uncertainty is the accuracy of the speed of particle.
Mass - (Measured in Kilogram) - Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.
Uncertainty in Position - (Measured in Meter) - Uncertainty in Position is the accuracy of the measurement of particle.

STEP 1: Convert Input(s) to Base Unit

Mass: 35.45 Kilogram --> 35.45 Kilogram No Conversion Required
Uncertainty in Position: 35 Meter --> 35 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ΔV_u = [hP]/(4*pi*Mass_{flight path}*Δx) --> [hP]/(4*pi*35.45*35)

Evaluating ... ...

ΔV_u = 4.24973524134238E-38

STEP 3: Convert Result to Output's Unit

4.24973524134238E-38 Meter per Second --> No Conversion Required

FINAL ANSWER

4.24973524134238E-38 ≈ 4.2E-38 Meter per Second <-- Velocity Uncertainty

(Calculation completed in 00.004 seconds)

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National Institute of Information Technology (NIIT), Neemrana

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< Heisenberg's Uncertainty Principle Calculators

Mass in Uncertainty Principle

LaTeX Go Mass in UP = [hP]/(4*pi*Uncertainty in Position*Uncertainty in Velocity)

Uncertainty in Position given Uncertainty in Velocity

LaTeX Go Position Uncertainty = [hP]/(2*pi*Mass*Uncertainty in Velocity)

Uncertainty in Velocity

LaTeX Go Velocity Uncertainty = [hP]/(4*pi*Mass*Uncertainty in Position)

Uncertainty in momentum given uncertainty in velocity

LaTeX Go Uncertainity of Momentum = Mass*Uncertainty in Velocity

Uncertainty in Velocity Formula

LaTeX Go

Velocity Uncertainty = [hP]/(4*pi*Mass*Uncertainty in Position)
ΔV_u = [hP]/(4*pi*Mass_{flight path}*Δx)

What is Heisenberg's Uncertainty Principle?

Heisenberg's Uncertainty Principle states that ' It is impossible to determine simultaneously, the exact position as well as momentum of an electron'. It is mathematically possible to express the uncertainty that, Heisenberg concluded, always exists if one attempts to measure the momentum and position of particles. First, we must define the variable “x” as the position of the particle, and define “p” as the momentum of the particle.

Is Heisenberg’s Uncertainty Principle noticeable in All Matter Waves?

Heisenberg’s principle is applicable to all matter waves. The measurement error of any two conjugate properties, whose dimensions happen to be joule sec, like position-momentum, time-energy will be guided by the Heisenberg’s value.
But, it will be noticeable and of significance only for small particles like an electron with very low mass. A bigger particle with heavy mass will show the error to be very small and negligible.

How to Calculate Uncertainty in Velocity?

Uncertainty in Velocity calculator uses Velocity Uncertainty = [hP]/(4*pi*Mass*Uncertainty in Position) to calculate the Velocity Uncertainty, The Uncertainty in velocity formula is defined as the accuracy of the speed of the particle in Heisenberg's Uncertainty Principle theory. Velocity Uncertainty is denoted by ΔV_u symbol.

How to calculate Uncertainty in Velocity using this online calculator? To use this online calculator for Uncertainty in Velocity, enter Mass (Mass_{flight path}) & Uncertainty in Position (Δx) and hit the calculate button. Here is how the Uncertainty in Velocity calculation can be explained with given input values -> 4.2E-38 = [hP]/(4*pi*35.45*35).

FAQ

What is Uncertainty in Velocity?

The Uncertainty in velocity formula is defined as the accuracy of the speed of the particle in Heisenberg's Uncertainty Principle theory and is represented as ΔV_u = [hP]/(4*pi*Mass_{flight path}*Δx) or Velocity Uncertainty = [hP]/(4*pi*Mass*Uncertainty in Position). Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it & Uncertainty in Position is the accuracy of the measurement of particle.

How to calculate Uncertainty in Velocity?

The Uncertainty in velocity formula is defined as the accuracy of the speed of the particle in Heisenberg's Uncertainty Principle theory is calculated using Velocity Uncertainty = [hP]/(4*pi*Mass*Uncertainty in Position). To calculate Uncertainty in Velocity, you need Mass (Mass_{flight path}) & Uncertainty in Position (Δx). With our tool, you need to enter the respective value for Mass & Uncertainty in Position 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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