Unit of Force - Definition, Unit, Types, Formula, FAQs

Unit of Force - Definition, Unit, Types, Formula, FAQs

Vishal kumarUpdated on 02 Jul 2025, 04:39 PM IST

What is unit?
The quantity which can be used as a standard of measurement is known as unit. For example: If we say, the length of the rod is 2 meter, then the numerical value is 2 and the unit of the length is meter.

Unit of Force - Definition, Unit, Types, Formula, FAQs
Unit of Force

What is the unit of force? Define SI unit of force.

As we know force is a physical quantity, it has to be measured. To measure any physical quantity, there is a standard of measurement known as unit of that quantity.

The term force is discovered and defined by Isaac Newton SI unit, that’s why the unit of force is named after him which is NEWTON. However, force measurement units can differ, depending upon the different systems of measurements such as C.G.S. , M.K.S which we read further in this article.

Also read -

SI unit of force in physics

SI unit stands for System International unit. This system of the unit consists of seven basic units which are used to derive other units.

The SI unit of force is kg m/sec2 which is termed, Newton.

Commonly Asked Questions

Q: How does friction affect the motion of objects?
A:
Friction is a force that opposes the relative motion of objects in contact. It can slow down or stop moving objects, prevent stationary objects from starting to move, and generate heat. Without friction, many everyday activities would be impossible.
Q: What is the normal force and when does it occur?
A:
The normal force is a contact force that occurs when two surfaces are in contact. It acts perpendicular to the surface of contact and balances out other forces to prevent objects from sinking into each other. For example, when you stand on the floor, the normal force from the floor balances your weight.
Q: How does air resistance affect falling objects?
A:
Air resistance is a force that opposes the motion of objects through air. For falling objects, it acts upward, opposing the downward force of gravity. This causes objects to reach a terminal velocity, where the air resistance equals the gravitational force, resulting in constant speed.
Q: What is tension force and where do we encounter it?
A:
Tension force is the force transmitted through a string, rope, cable, or wire when it is pulled tight by forces acting from opposite ends. We encounter tension in many situations, such as in elevator cables, bridge support cables, and when pulling objects with ropes.
Q: How does the concept of inertia relate to force?
A:
Inertia is an object's resistance to change in its state of motion. It's directly related to the object's mass. Force is required to overcome inertia and change an object's motion. The more inertia an object has, the more force is needed to change its motion.

Derivation of SI unit of force in physics

To derive the SI unit of force in physics, we need to remember the formula of force which is defined as

F= m× a

where F ? Force

m ? Mass

a ? Acceleration

First, we derive the SI unit of acceleration using its formula which is defined as

a=∆v/∆t

where ∆v ? Change in velocity

∆t ? Change in time

Now, we write the SI unit of velocity and time in the formula of acceleration

a=m/s2

Hence, the SI unit of acceleration

a= msec-2

Now, we put the SI unit of acceleration and mass in the formula of force

F= kg× msec-2

Hence, the SI unit of force is given as

F= kg msec-2 or Newton

Other unit of force
Other than SI unit, force is also measured in different units depending upon the system of measurements which are given below :

  1. Dyne ?

Symbol - dyn

1 dyn=10-5N

1 dyne is defined as the force can be measured by required accelerate of 1 gram of mass at an acceleration of 1 centimeter per second. It is the unit of force in CGS (Centimeter – gram – second ) system of units and it is primarily used in measuring surface tension.

  1. Gram- force ?
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Symbol - gf

1 gf=0.0098 N

1 gram- force is defined as the force required to accelerate 1 gram of mass at acceleration equal to the acceleration due to gravity. It is the gravitational unit of force in CGS (Centimeter – gram – second ) system of units.

  1. Poundal ?

Symbol - pdl

1 pdl= 0.1382 N

1 Poundal is defined as the force required to accelerate 1 pound of mass at an acceleration of 1 foot per second. It is the unit of force in the FPS ( Foot – pound – second ) system of units and this system is commonly used in civil engineering and construction engineering.

Also read :

  1. Pound- force ?

Symbol - lbf

1 lbf=4.448222 N

1 pound force is defined as the force required to accelerate 1 pound of mass at an acceleration equal to the acceleration due to gravity. It is the unit of force in FPS ( Foot – pound – second ) system of units and this is also used in civil engineering and construction engineering.

  1. Kilogram-force ?

Symbol - kgf

1 kgf=9.806650 N

1 Kilogram-force is defined as the force required to accelerate 1 kilogram of mass at an acceleration equal to the acceleration due to gravity. It is the unit of force in MKS ( Meter – kilogram – second ) system of units and this system is also known as metric system.

  1. Sthène ?

Symbol - sn

1 sn= 1000 N

1 Sthène is defined as the force required to accelerate 1 metric ton (1000 Kilograms) of mass at an acceleration of 1 meter per second. It is the unit of force in MTS ( metre–tonne–second ) system of units.

  1. Kip ?

Symbol - kip

1 kip= 4.44822 kN

1 kip is defined as 1000 pound-force. It is used in engineering, primarily in civil engineering to measure engineering loads.

Also check-

NCERT Physics Notes:

Commonly Asked Questions

Q: What is the SI unit of force?
A:
The SI unit of force is the Newton (N). One Newton is defined as the force required to accelerate a mass of 1 kilogram at a rate of 1 meter per second squared (1 N = 1 kg⋅m/s²).
Q: What is the relationship between force, mass, and acceleration?
A:
The relationship between force, mass, and acceleration is described by Newton's Second Law of Motion: F = ma, where F is the net force, m is the mass, and a is the acceleration. This equation shows that force is directly proportional to both mass and acceleration.
Q: Why is force considered a vector quantity?
A:
Force is a vector quantity because it has both magnitude (strength) and direction. This means that to fully describe a force, you need to specify not only how strong it is but also which way it's acting.
Q: How does mass differ from weight?
A:
Mass is a measure of the amount of matter in an object and remains constant regardless of location. Weight, on the other hand, is the force exerted on an object due to gravity and can vary depending on the strength of the gravitational field.
Q: What is force in physics?
A:
Force is a push or pull acting on an object. It can cause an object to start moving, stop moving, or change its speed or direction. Force is a vector quantity, meaning it has both magnitude and direction.

Frequently Asked Questions (FAQs)

Q: What is the role of force in the theory of elasticity?
A:
In the theory of elasticity, forces are related to the deformation of materials. The relationship between force (or stress) and deformation (or strain) is described by Hooke's law for small deformations. Understanding these force-deformation relationships is crucial in materials science and structural engineering.
Q: What is torque and how is it related to force?
A:
Torque is the rotational equivalent of linear force. It's a measure of the force that can cause an object to rotate about an axis. Torque is calculated as the product of the force and the perpendicular distance from the axis of rotation to the line of action of the force.
Q: How does the concept of work relate to force?
A:
Work is done when a force moves an object through a distance. It's calculated as the product of the force and the displacement in the direction of the force. If a force doesn't cause displacement, no work is done, even if effort is exerted.
Q: What is the difference between mass and force?
A:
Mass is a measure of the amount of matter in an object, while force is a push or pull acting on an object. Mass is a scalar quantity (it only has magnitude), while force is a vector quantity (it has both magnitude and direction). Mass is measured in kilograms (kg), while force is measured in Newtons (N).
Q: What is the relationship between force and momentum?
A:
Force is related to the rate of change of momentum. This relationship is expressed in Newton's Second Law as F = dp/dt, where F is the net force, p is momentum, and t is time. This form of the law is more fundamental than F = ma and applies in all reference frames.
Q: How does the concept of impulse relate to force?
A:
Impulse is the product of force and the time over which it acts. It represents the change in momentum of an object. The relationship is expressed as J = F⋅Δt = Δp, where J is impulse, F is the average force, Δt is the time interval, and Δp is the change in momentum.
Q: What is the difference between weight and mass in space?
A:
Mass remains constant regardless of location, even in space. Weight, however, changes with the strength of the gravitational field. In space, far from any significant gravitational source, an object would be weightless (experience no gravitational force) but still retain its mass.
Q: What is the relationship between force and acceleration in circular motion?
A:
In circular motion, the force causing the circular path (centripetal force) is related to acceleration by F = ma, where the acceleration a = v²/r, with v being the velocity and r the radius of the circular path. This means the centripetal force F = mv²/r.
Q: How does the concept of force apply in fluid mechanics?
A:
In fluid mechanics, forces play crucial roles in concepts like pressure, buoyancy, and drag. Pressure in a fluid exerts force on submerged objects, buoyant force opposes gravity, and drag forces resist motion through fluids. These forces are essential in understanding fluid behavior and object interactions in fluids.
Q: What is the relationship between force and stress in materials?
A:
Stress is the internal force per unit area within a material. When an external force is applied to a material, it creates internal stresses. The relationship is expressed as σ = F/A, where σ is stress, F is the applied force, and A is the cross-sectional area. Different types of stress (tensile, compressive, shear) result from different force applications.