PROBLEM Show That The Expression V = Vo + At Is Dimensionally Correct, Where V And Vo Represent Velocities, A Is Acceleration, And Is A Time Interval. STRATEGY Analyze Each Term, Finding Its Dimensions, And Then Check To See If All The Terms Agree With Each Other. SOLUTION Find Dimensions For V And Vo. [V] = [Vo] = = [At] = [A][T] = 72(T) = 5 Find The

 

 

 

 

PROBLEM Show that the expression v = vo + at is dimensionally correct, where and vo represent velocities, a is acceleration, and t is a time interval. STRATEGY Analyze each term, finding its dimensions, and then check to see if all the terms agree with each other. SOLUTION Find dimensions for vand vo. Find the dimensions of at. [v] = [vo] == [at] = [a][t] = (T) == LEARN MORE REMARKS All the terms agree, so the equation is dimensionally correct. QUESTION The volume of a parallelepiped with edges L, W, and H is V = LWH. Which of the following incorrect expressions for the volume is dimensionally correct? (Select all that apply.) V = W/H V = W V = L2W/H V = LW EXERCISE HINTS: GETTING STARTED | I'M STUCK! Determine whether the equation x = vt is dimensionally correct. If it is, enter CORRECT. If not, provide a correct expression. Do not include a constant of proportionality. (Use v, t, or CORRECT as necessary.) x = That is not the correct expression.