Question

I=mr2
m. mass of a particle r - distance from the axis
write the dimensional formula for moment of inertia (D)
$i = mr {}^{2}$
​

Answer 1

Answer:

Coal is a combustible black or brownish-black sedimentary rock, formed as rock strata called ... The largest consumer and importer of coal is China.

Explanation:

Answer 2

Answer:

The dimensional formula of moment of inertia is given by,

M

1

L

2

T

0

Where,

M=Mass

L=Length

T=Time

Derivation

Moment of Inertia (MOI)=Mass×[RadiusofGyration]

2

....(1)

Since, the dimensional formula of mass =M

1

L

0

T

0

......(2)

And, the dimensions of the radius of gyration=M

0

L

1

T

0

.....(3)

On substituting equation (2) and (3) in equation (1) we get,

Moment of Inertia =Mass×[RadiusofGyration]

2

Or, MOI=[M

1

L

0

T

0

]×[M

0

L

1

T

0

]

2

=M

1

L

2

T

0

.

Therefore, the moment of inertia is dimensionally represented asM

1

L

2

T

0

.