Answer to Question #206105 in Mechanics | Relativity for marie

Question #206105

The power, P, produced by a wind turbine is given by:

P = ( ½) C𝜌Av3

where 𝜌 is the density of air [ML-3 ], A is the cross-sectional area [L2 ] of the blade and v is the velocity of air. Determine in MLT the dimensions of:

i. v3

ii. P

iii. C


1
Expert's answer
2021-06-11T16:58:50-0400

i)

v3=(LTβˆ’1)3=L3Tβˆ’3v^3=(LT^{-1})^3=L^3T^{-3}


II)

P=ML2Tβˆ’3P=ML^2T^{-3}


III)

C=ML2Tβˆ’3MLβˆ’3β‹…L3Tβˆ’3L2=1C=\frac{ML^2T^{-3}}{ML^{-3}\cdot L^3T^{-3}L^2}=1


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!

Leave a comment