Question

check the dimensional validity of equation P = F + Av^3P​

Answer 1

Answer:

An equation X=y+z become dimensionally valid if dimension of x = dimension of y = dimension of z

Condition holds:-

we have:- P=F+Av^3p

P=Power, F=Force, V=Velocity, A=Area, p=density

(P)= (M¹L²T-³)

(FV)= (F)(V) (M¹L¹T-²)(L²T-¹)

= (M¹L²T-³)

(Av³p)= (A)(v³)(p)

= (L²)(L³T-³)(M¹L-³)

= (M¹L²T-³) (P)=(FV)=(Av³p)

Hence P=F+Av^3p is dimensionally valid

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