Question

Represent each of the following units as a combination of primitivedimensions where M=mass, L=length, T=time. As an example, miles per hour wouldcorrespond to [L/T].a. kilometerb. quartc. pascald. watte. newtonf. horsepower

Answer 1

(a)

The primitive dimension of a kilometer is Length [L]

(b)

The primitive dimension of quart is

`\lbrack L^3\rbrack`

(c)

The primitive dimension of the pascal is

`\lbrack ML^(-1)_{}T^(-2)\rbrack`

(d)

The primitive dimension of watt is

`\lbrack ML^2T^(-3)\rbrack`

(e)

The primitive dimension of Newton is

`\lbrack MLT^(-2)\rbrack`

(f)

The primitive dimension of horsepower is

`\lbrack ML^2T^(-3)\rbrack`