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Mechanical Engineering Maths R =kv2

I'm stuck on this question on my assignment and i was just wondering does anyone know how to complete it.
A model for air resistance is R = kv2. Find dimension of K.
this is what i've got so far...

R = kv2
k = R ÷ v2
R = MLT-2

Reply 1

RDKGames

Study Forum Helper

Original post by henryQ12

Few questions:

Is it supposed to be

R=kv^2

?

Are you saying that the dimensions of

R

are

MLT^{-2}

Reply 2

henryQ12

Original post by RDKGames

Few questions:

Is it supposed to be

R=kv^2

?

Are you saying that the dimensions of

R

are

MLT^{-2}

yes

Reply 3

RDKGames

Study Forum Helper

Original post by henryQ12

yes

So then note that

\dfrac{R}{v^2}=Rv^{-2}

k=Rv^{-2}

hence

[k]=[R][v]^{-2}=MLT^{-2}\cdot [v]^{-2}

Hence you just need

[v]

(which are the dimensions of

v

)

Reply 4

henryQ12

Original post by RDKGames

So then note that

\dfrac{R}{v^2}=Rv^{-2}

k=Rv^{-2}

hence

[k]=[R][v]^{-2}=MLT^{-2}\cdot [v]^{-2}

Hence you just need

[v]

(which are the dimensions of

v

)

Thanks that's helped me out.

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Mechanical Engineering Maths R =kv2

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