Dimensional analysis: show that each of following equations is dimensionally correct or incorrect
x=distance, v=velocity, v.=velocity, a=acceleration, t=time
1. x=vt2-at
2. v2=2ax-v2
3. x=v2/4a
4. V=1/3pieR3h
where V=volume of a conical shape, pie=con tan t, R=radius, and h=height
Dimensional analysis: show that each of following equations is dimensionally correct or incorrect x=distance, v=velocity, v.=velocity,...
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
Dimensional Analysis Chapter 1: Measurement and Mathematics Conceptual problems 1.C.5 The following variables are commonly seen in equations. The name of the (2.00) quantity represented by each variable, and its dimension(s), are also shown. x distance (L) t time (T) m mass (M) a acceleration (LT2) v speed (L/T) F force (ML/T2) Using the information above, check the boxes of the equations that are dimensionally correct. Select all that apply O F= ma 0 V2 = 2ax v = at...
Using dimensional analysis, determine if the following equation is dimensionally correct or incorrect: s = s0 sin kt, where k is a constant that has the dimension of the inverse of time.
If a is acceleration, v is velocity, x is position, and t is time, then check the validity (wrong or correct) of the following equations using dimensional analysis: a) t2 = 2x/a b) t = x/v c) a = v/x d) v = a/t ALSO , The term 1/2 PV^2 rv2 occurs in Bernoulli’s equation in Chapter 15, with P being the density of a fluid and v its speed. Find the dimensions of 1/2 PV^2 Thank you in advance...
(20%) Problem 5: Answer the following question about dimensional analysis. In this problem, x represents distance v represents speed, a represents acceleration, and t represents time atus Which of the following are dimensionally consistent? There may be more than one correct answer leted leted leted leted Grade Summary Deductions 29% Potential 71% 2a Attempts remaining 2 (5% per attempt) detailed view 0 7 За Hint FeedbackI give up
1. Which of the following equations are dimensionally correct? a.) V = V1 + ax (10p) b.) y = (2m)cos(kx), where k = 2m-1 (10p) 2. Given the vectors A = 2.001 + 6.00j andB = 3.00i + 2.00j. a.) draw the vector sum C = A + B and the vector differenceD = A - B. (10p) b.) Calculate C and D, first in terms of unit vectors and then in terms of polar coordinates, with angles measured with...
Show that the expression v = at, where v represents speed, a acceleration, and t an instant of time, is dimensionally correct. Dimensions and Units of Four Derived Quantities Quantity Area Volume Speed Acceleration Dimensions L2 L3 UT LT2 SI units m2 m m/s m/s2 U.S. customary units ft2 ft/s ft/s2 SOLUTION (Use the following as necessary: L and T.) Identify the dimensions of v from the table above: [v] - Identify the dimensions of a from the table above...
a) Check the correctness of the following equation using the principle of dimensional homogeneity. (2 Marks) I=c(Vv/t) - dva + a3 (I=Impulse, t= time, v=velocity, a=acceleration, c=dimensionless constant, d=distance) b) Find the Dimensional Formula of n in the following equation. (2 Marks) V=2Van + atr3 (V= Volume, t= time, r=radius, a=area) c) Pressure of a specific gas in a container is directly proportaional to square of its Volume. Find the Dimensional Formula of the proportionality constant. (3 Marks)
need help changignt the two second oder equations into four first order equations here R is the sphere's radius, p is the density of air, v is the velocity, and C is the called coefficient of drag (a property of the shape of the moving object, in this case a here). a) Starting from Newton's second law, F ma, show that the equations of motion for the position (x, y) of the cannonball are 2m where m is the mass...
1. In the following expressions, x and y represent lengths or positions, v represents a velocity, a represents acceleration, t represents a time, m is mass, and k has the value 2m?1. Use dimensional analysis to identify the invalid relationships: (a) vf = vi+ax, (b) y = (2m) cos(kx), (c) mat = mvx, (d) 2 ln(va=vb) = 6 sin(tb=ta). 2. A certain particle's position x at a time t is given by x = ka^mt^n, where k, m, and n...