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Relation between Newton and Dyne

Relation between Newton and Dyne

Vishal kumarUpdated on 02 Jul 2025, 04:34 PM IST

The units of force are the Newton and the Dyne. Under the International System of Units, a Newton is a derived unit for force (SI Units). Under the Centimeter-Gram-Second (CGS) units system, a dyne is also the derived unit of force. In solving difficulties, the relationship between Newton and Dyne is critical. Every physical entity can be measured in a variety of ways in physics. Without breaking the principles of physics or nature, every unit can be related to one another through unit conversions. One Newton is equal to the force of 100,000 dynes.

This Story also Contains

  1. What is Newton?
  2. What is Dyne?
  3. Difference Between Newton and Dyne
  4. Relation Between Newton and Dyne
Relation between Newton and Dyne
Relation between Newton and Dyne

What is Newton?

Newton, abbreviated N, is an absolute unit of force in the International System of Units (SI units). In the centimetre-gram-second (CGS) system, one newton equals 100,000 dynes or around 0.2248 pounds in the foot-poundsecond (English, or customary) system. 1 newton is equal to how many dynes 100000 dynes.

Also, read

What is Dyne?

In the centimeter-gram-second system of physical units, a dyne to newton is the force required to accelerate a free mass of one gram by one centimeter per second per second 0.00001 Newton is one dyne.

1 dyne $=1 \mathrm{~g} \cdot \mathrm{~cm} / \mathrm{s}^2$

Difference Between Newton and Dyne

ParticularDefinitionSymbolFormula

Fundamental unit

1
Newton		The force required to accelerate an object of mass 1 kilogram at a rate of 1 m/s2.N1 N=1 kg×1 m/s2N=kg⋅m/s2
1
Dyne		The force required to accelerate an item at 1 cm/s2 in a mass of 1 gram.Dyne1Dyne =1 g×1 cm/s2dyne = g.cm /s2
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Related topic,

Inertia
Common Forces In Mechanics
Equilibrium Of Concurrent Forces
Newton’s First Law Of Motion
Friction

Relation Between Newton and Dyne

Newton and Dyne have a mathematical relationship in which one Newton equals ten to the fifth power Dyne.

1 Newton $=10^5$ Dyne, for example. To put it another way, the main connection between Newton and Dyne is that they both have the same feature. Both have the same unit of force. The only difference is that one has an S.I unit and the other has a C.G.S unit.

  • Newton is the SI unit of force.
  • Dyne is the C.G.S unit of force.

Both have been identified as force units in two different systems. As a result, we can begin with a definition

  • 1 newton ( N ) is defined as the force required to accelerate an object of mass 1 kg at a rate of $1 \mathrm{~m} / \mathrm{s}^2$. Mathematically:

    $
    1 \mathrm{~N}=1 \mathrm{~kg} \cdot 1 \mathrm{~m} / \mathrm{s}^2
    $

  • Convert mass from kilograms (kg) to grams (g):

    $$
    1 \mathrm{~kg}=1000 \mathrm{~g}
    $$
    Convert acceleration from meters per second squared ( $\mathrm{m} / \mathrm{s}^2$ ) to centimeters per second squared ( $\mathrm{cm} / \mathrm{s}^2$ ):

    $$
    1 \mathrm{~m} / \mathrm{s}^2=100 \mathrm{~cm} / \mathrm{s}^2
    $$
    Substitute these into the formula for 1 newton:

    $$
    1 \mathrm{~N}=1000 \mathrm{~g} \cdot 100 \mathrm{~cm} / \mathrm{s}^2
    $$
    Simplify:

    $$
    1 \mathrm{~N}=1000 \cdot 100 \mathrm{~g} \cdot \mathrm{~cm} / \mathrm{s}^2=10^5 \mathrm{~g} \cdot \mathrm{~cm} / \mathrm{s}^2
    $$

$1 \mathrm{~N}=10^5$ dyne

Frequently Asked Questions (FAQs)

Q: What common misconceptions do students have about the relationship between Newton and dyne?
A:
Common misconceptions include thinking that Newtons and dynes are interchangeable, that their relationship is simple (like 1:10 or 1:100), or that they measure different physical quantities. Students often struggle with the large conversion factor and may forget which unit is larger. Understanding that both measure force but in different systems is crucial.
Q: In what ways does the Newton-dyne relationship demonstrate the importance of understanding unit conversions in physics?
A:
The Newton-dyne relationship emphasizes the importance of unit conversions in physics by showing how different measurement systems can describe the same physical quantity. It demonstrates that understanding these conversions is crucial for accurately interpreting and comparing data across different scientific papers or experiments, especially when dealing with interdisciplinary work or historical scientific literature.
Q: How does the precision of measurements affect the choice between using Newtons or dynes?
A:
The precision of measurements can influence the choice between Newtons and dynes. For very precise measurements of small forces, dynes might be preferred as they allow for expression of smaller values without resorting to scientific notation. For larger, less precise measurements, Newtons are often more practical. The choice depends on the scale of the force being measured and the precision required for the specific application.
Q: How does the Newton-dyne relationship relate to the concept of significant figures in measurements?
A:
The Newton-dyne relationship (1 N = 10^5 dynes) involves a large conversion factor, which can impact significant figures. When converting between the two, it's important to consider the number of significant figures in the original measurement. For example, 1.00 N converts to 100,000 dynes, maintaining three significant figures. This relationship highlights the importance of properly handling significant figures during unit conversions.
Q: What role does dimensional analysis play in verifying the Newton-dyne relationship?
A:
Dimensional analysis is crucial in verifying the Newton-dyne relationship. By breaking down each unit into its fundamental dimensions (mass, length, time), we can see that both Newtons and dynes have the same dimensional formula: [M][L][T]^-2. This analysis confirms that they measure the same physical quantity (force) and helps verify the conversion factor between them.
Q: Can you explain how the Newton-dyne relationship might be used in a physics lab experiment?
A:
In a physics lab experiment, the Newton-dyne relationship might be used when calibrating or comparing different force measurement devices. For instance, a sensitive force sensor might measure in dynes, while a standard lab scale measures in Newtons. Students would need to convert between these units to compare results or combine data from different instruments, reinforcing their understanding of unit conversions and measurement systems.
Q: How might understanding the Newton-dyne relationship help in interpreting historical scientific literature?
A:
Understanding the Newton-dyne relationship is crucial for interpreting historical scientific literature because:
Q: How does the Newton-dyne conversion relate to the concept of pressure units like Pascal and barye?
A:
The Newton-dyne conversion directly relates to pressure units:
Q: Can you explain how the Newton-dyne relationship might be used in a computer simulation of a physical system?
A:
In a computer simulation of a physical system, the Newton-dyne relationship might be used to:
Q: How does the Newton-dyne relationship help in understanding the concept of force resolution in measuring instruments?
A:
The Newton-dyne relationship helps understand force resolution in measuring instruments by:
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