Question: Which of the following equations are dimensionally consistent? (a) v = at, (b) v = 1/2 at2, (c) t = a / v, (d) v2

Which of the following equations are dimensionally consistent?
(a) v = at,
(b) v = 1/2 at2,
(c) t = a / v,
(d) v2 = 2ax.

Step by Step Solution

★★★★★

3.34 Rating (166 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Manipulate the dimensions in the same manner as algebraic ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Document Format (1 attachment)

Word file Icon

1307-P-M-V(383).docx

120 KBs Word File

Students Have Also Explored These Related Mechanics Questions!

Q:

Which of the following equations are dimensionally consistent? (a) x = 1/2 at2, (b) t = v/x, (c) t = (2x/a)1/2.

Q:

Which of the following equations are dimensionally correct? (a) vf = vi' + ax (b) y = (2 m) cos (kx), where k = 2 m-1.

Q:

Which of the following equations are true for all operators A and B and all functions f and g? (a) (A+ B)f = Af + Bf; (b) A(f + g) = Af + Ag ; (c) (Af)/f = A, provided f 0; (d) AB f = BAf; (e) Af =...

Q:

3) Consider the physical quantities s, v, a, and t with dimensions [s] = L, [v] = LT -1, [a] =LT -2, and = T. Determine whether each of the following equations is dimensionally consistent. (a) v2 =...

Q:

> Dark Truth of Fake Gurus l Re x Unit 1 Test - PHYS-2425, seCi X C A cyclist rides 8.0 km east fow X * Dashboard (- C' i webassignnetw ' . .7 w ' ' p ' m it: I. I] R e Gmail ' YouTube 6 Maps 3...

Q:

10. [-/5 Points] DETAILS OSUNIPHYS1 1.4.P.052. MY NOTES ASK YOUR TEACHER Consider the physical quantities m, s, v, a, and t with dimensions [m] = M, [s] = L, [v] = LT", [a] = LT-2, and [t] = T....

Q:

(4) (a) The density of iron is 7.85 g/cm under standard conditions. Convert this to kg/m. (b) The distance from the NJIT to your home is 100 miles and it usually takes 20 min to drive this distance....

Q:

Math 636 Final - Quiz Component 1. The system of linear equations 2x2 x3 = 3 2x1 + x2 + 2x3 = 1 x1 + x2 + 3x3 = 2 (a) is consistent with a unique solution. (b) is consistent with infinitely many...

Q:

Experiment Reference: The following equations for the currents going through the resistors (Figure 12) will be used in Experiment 3: V1 - (V 2 - V 1) R2 R 1 11 = Equation (21) R1+2R2 V2- (V1-V2) R2 R...

Q:

^^^^^ solve please Postopening Scenario: Your angel investors are silent in relation to the business; however, they require board meetings. for status updates on the company's nancial health....

Q:

Cane Company manufactures two products called Alpha and Beta that sell for $150 and $105, respectively. Each product uses only one type of raw material that costs $5 per pound. The company has the...

Q:

The proton NMR chemical shifts of the hydrogens in pyridine are shown. These are typical aromatic chemical shifts, except that the ortho protons (on the carbons bonded to nitrogen) are deshielded to...

Q:

10. Fill-In Questions Theories that place the cause of business cycles within the economy rather than outside are known as _______________ theories. (LO2)

Q:

34. The elevator of a four-floor building leaves the first floor with six passengers and stops at all of the remaining three floors. If it is equally likely that a passenger gets off at any of these...

Q:

The smallest wavelength possible for a sound wave in air is on the order of the separation distance between air molecules. Find the order of magnitude of the highest-frequency sound wave possible in...

Q:

Four identical point charges (q = +10.0 μC) are located on the corners of a rectangle as shown in Figure P23.57. The dimensions of the rectangle are L = 60.0 cm and W = 15.0 cm. Calculate the...

Q:

A sphere of radius R surrounds a point charge Q, located at its center. (a) Show that the electric flux through a circular cap of half-angle ) (Fig. P24.53) is What is the flux for? (b) θ =...

Q:

What is the present worth of all disbursements and receipts during the life time of the project, evaluated at the beginning of the first year, if the project has the following costs: Phase 1 labor...

Q:

Can someone explain this question with working for me please. 4. Random samples of size 49 are taken from a population that has 200 elements, a mean of 180, and a variance of 196. The distribution of...

Q:

Suppose that you can got a 30-year mortgage at 8% interest. How much can you afford to borrow if you can afford to make a monthly payment of $1,000