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Uncertainty in Position given 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 Velocity is the accuracy of the speed of particle.ⓘ Uncertainty in Velocity [Δv]			+10% -10%

✖Position Uncertainty is the accuracy of the measurement of particle.ⓘ Uncertainty in Position given Uncertainty in Velocity [Δx_p]

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Uncertainty in Position given Uncertainty in Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Position Uncertainty = [hP]/(2*pi*Mass*Uncertainty in Velocity)
Δx_p = [hP]/(2*pi*Mass_{flight path}*Δv)
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

Position Uncertainty - (Measured in Meter) - Position Uncertainty is the accuracy of the measurement 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 Velocity - (Measured in Meter per Second) - Uncertainty in Velocity is the accuracy of the speed of particle.

STEP 1: Convert Input(s) to Base Unit

Mass: 35.45 Kilogram --> 35.45 Kilogram No Conversion Required
Uncertainty in Velocity: 22 Meter per Second --> 22 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Δx_p = [hP]/(2*pi*Mass_{flight path}*Δv) --> [hP]/(2*pi*35.45*22)

Evaluating ... ...

Δx_p = 1.35218848588167E-37

STEP 3: Convert Result to Output's Unit

1.35218848588167E-37 Meter --> No Conversion Required

FINAL ANSWER

1.35218848588167E-37 ≈ 1.4E-37 Meter <-- Position Uncertainty

(Calculation completed in 00.020 seconds)

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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 Position given Uncertainty in Velocity Formula

LaTeX Go

Position Uncertainty = [hP]/(2*pi*Mass*Uncertainty in Velocity)
Δx_p = [hP]/(2*pi*Mass_{flight path}*Δv)

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 Position given Uncertainty in Velocity?

Uncertainty in Position given Uncertainty in Velocity calculator uses Position Uncertainty = [hP]/(2*pi*Mass*Uncertainty in Velocity) to calculate the Position Uncertainty, The Uncertainty in position given uncertainty in velocity is defined as the accuracy of the measurement of the particle in Heisenberg's Uncertainty Principle theory. Position Uncertainty is denoted by Δx_p symbol.

How to calculate Uncertainty in Position given Uncertainty in Velocity using this online calculator? To use this online calculator for Uncertainty in Position given Uncertainty in Velocity, enter Mass (Mass_{flight path}) & Uncertainty in Velocity (Δv) and hit the calculate button. Here is how the Uncertainty in Position given Uncertainty in Velocity calculation can be explained with given input values -> 1.4E-37 = [hP]/(2*pi*35.45*22).

FAQ

What is Uncertainty in Position given Uncertainty in Velocity?

The Uncertainty in position given uncertainty in velocity is defined as the accuracy of the measurement of the particle in Heisenberg's Uncertainty Principle theory and is represented as Δx_p = [hP]/(2*pi*Mass_{flight path}*Δv) or Position Uncertainty = [hP]/(2*pi*Mass*Uncertainty in Velocity). Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it & Uncertainty in Velocity is the accuracy of the speed of particle.

How to calculate Uncertainty in Position given Uncertainty in Velocity?

The Uncertainty in position given uncertainty in velocity is defined as the accuracy of the measurement of the particle in Heisenberg's Uncertainty Principle theory is calculated using Position Uncertainty = [hP]/(2*pi*Mass*Uncertainty in Velocity). To calculate Uncertainty in Position given Uncertainty in Velocity, you need Mass (Mass_{flight path}) & Uncertainty in Velocity (Δv). With our tool, you need to enter the respective value for Mass & Uncertainty in 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 Position Uncertainty?

In this formula, Position Uncertainty uses Mass & Uncertainty in Velocity. We can use 1 other way(s) to calculate the same, which is/are as follows -

Position Uncertainty = [hP]/(4*pi*Uncertainty in Momentum)

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