Question

Write the dimensional formula of momentum of force is is

Answer 1

Answer:

Correct question :

Dimensional formula for moment of force

Concept:

1. Moment of force as the name suggests is a vector quantity exemplifying both magnitude and direction.

2. It is actually an axial vector.

3. It refers to cross product between radial distance (from reference) with the force experienced.

4. Moment of Force is popularly called as

TORQUE.

Formulas used:

Let torque be denoted as "T"

T = r × F

Calculation:

T = r × F

T = [L] × [(M) × (L) × (T^-2)]

T = [ (M) × (L^2) × (T^-2)]

(Answer)

Answer 2

Question :-

Write the dimensional formula of moment of force .

Answer :-

$\boxed{ \red{\sf{moment \: of \: force \: } = \green{\: [ M \: {L}^{2} \: {T}^{ - 2}] }}}$

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Solution :-

We know that ,

Moment of force = Force × Distance ,

In the form of dimensions,

$\red{ \sf{dimension \: of }}\\ \\ \green{\sf{force \: = [M \: L\: {T}^{ - 2}] }} \\ \\ \pink{ \sf{distance \: =[ L ] \: }}$

Therefore ,

The dimension of moment of force is ,

$\rightarrow \: \sf{ [ L ] \: \times \: [ M\: L \: {T}^{ - 2} ]} \\ \\ \rightarrow \: \sf{ \:[ \: M \: {L}^{2} {T}^{ - 2}] }$

This is the dimension of moment of Force.

Moment of force is also known as Torque or couple of moment.

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