Question

me ajudem com esta questão por favor

Answer 1

T= K.(massa)^a.(comprimento)^b.(gravidade)^c

[T]= (kg)^a.(m)^b.(m)^c

____________-----

_____________(s)^2

[T]= (kg)^a.(m)^b.(m)^c.(s)^-2c

[T]= (kg)^a.(m)^b+c.(s)^-2c

[T]= (M)^a.(L)^b+c.(T)^-2c

(M)^0.(L)^0.(T)^1= (M)^a.(L)^b+c.(T)^-2c

a=0

b+c=0

-2c= 1

c= 1/-2

c= -1/2

b+c= 0

b+(-1/2)=0

b-1/2= 0

b= 0+1/2

b= +1/2

T= K.(massa)^a.(comprimento)^b.(gravidade)^c

T= 2π(massa)^0.(L)^1/2.(g)^-1/2

T= 2π(L)1/2.(g)^-1/2

T= 2π√L

_____-----

_____√g