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What is the Dimension of Momentum


Dimension of Momentum

Dimensional Formula of Momentum

with its Derivation


In this article, we will find the dimension of Momentum

Dimensional formula for Momentum is

$[M^1L^2T^{-1}]$

Where
M -> Mass

L -> Length

T -> Time
We would now derive this dimensional formula.

Derivation for expression of Dimension of Momentum

Momentum is defined as the product for mass  and Velocity
$p= mv$
Where
m -> mass
v-> Velocity
p->Momentum

So,
Now the dimension of Mass= $[M^1]$
Lets derive the dimension of Velocity
$v= \frac {dx}{dt}$
or
$v = \frac {d}{t}$
Now
Where
d-> displacement
t -> Time

Now Dimension of Displacement = $[L^1]$

Hence dimension of Velocity= $\frac {[L^1]}{[T^1]}=[M^0 L^1T^{-1}]$

So, Dimension of Momentum is given by

$\text {Dimension of Momentum} =[M^1] \times [M^0 L^1T^{-1}] = [M^1L^1T^{-1}]$

Unit of Momentum is Kg m/s and it is denoted by letter $p$

Try the free Quiz given below to check your knowledge of Dimension Analysis:-


Quiz on Dimensional Analysis


1. Which of the following has the dimensions of pressure?

Question 1 of 5

2. The dimensions of universal gravitational constant are

Question 2 of 5

3. The dimensions of impulse are equal to that of

Question 3 of 5

4. The dimension of torque is

Question 4 of 5

5. Which of the following pair does not have similar dimensions

Question 5 of 5


 


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