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what are tensor quantities? please explain examples for tensorquantities

what are tensor quantities?
please explain
examples for tensorquantities
 

Grade:9

2 Answers

Sudeshna Chaudhuri
26 Points
5 years ago
Hey
Tensor quantities are those quantities which are neither vector nor scalar. 
Example: Moment of Inertia
 
 
mazhar iqbal
13 Points
26 days ago
 
TENSOR QUANTITY
Tensor is the quantity which has magnitude, direction and plane in which it acts or defined with respect to its coordinate system A tensor field has a tensor corresponding to each point space.
Example of tensor quantities are: Stress, Strain, Moment of Inertia, Conductivity, Electromagnetism.

Strain:

Strain is actually the fractional change in length. In order to define strain we need magnitude, direction as well as the plane (coordinates). Like, If I write strain (xy) it shows that the body was on plane x and elongates in direction y. And if we write a magnitude then the whole thing would be cleared.

Moment of Inertia:

Moment of Inertia is said to be a tensor quantity. As moment of inertia of a rigid body cannot be defined by only magnitude and direction. Either body is 2D or 3D we have to define the plane in order to make or logics clear.

Conductivity:

Conductivity either it is electrical or thermal is a tensor because if you will say that a metal object conduct electricity of 2 watt in x direction. Your statement seems to be vague until you tell the plane of that object. Because if plane is not declared then matrix is not going to be formed and no calculation would be done to find the tensor.
Electromagnetism:
Electromagnetism is a tensor quantity because without defining the plane you cannot define the behavior of electric field in a 3D object.

Elasticity:

Elasticity serve as a tensor quantity. The number of elastic constants needed to describe the elastic response of a crystal depends on its symmetry. Cubic crystals require three elastic constants: Hexagonal crystals require five and trigonal and tetragonal crystals require six or seven depending on the point group. The elastic constants are affected by the state of the material including its temperature, and pressure and for minerals with solid solutions, chemical composition as well. Therefore without defining plane you cannot make your point clear.
 
 

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