Show that each of the following equations are dimensionally correct or in correct: x=distance, v=velocity, a=acceleration,...
Show that each of the following equations are dimensionally correct or in correct: x=distance, v=velocity, a=acceleration, t=time
A) x= v^2/4a
b) v=1/3πR^3h
where V=volume of conical shape, π=contant, R=radius, and h=height
Homework Answers
A) LHS dimension of x = [L]
RHS v^2 / 4a = [LT^-1]^2 / [LT-2]
= [L^2-1 T^-2+2]
= [L]
Hence LHS = RHS , Correct
b) LHS = [L^3]
RHS = R^3H = [L^3][L] = [L^4]
LHS is not equal to RHS Hence Incorrect
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Show that each of the following equations are dimensionally
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