Which of the following quantities has the dimensions of an acceleration? v^2/x = ([L]/[T])^2/[L] = [L]/[T]^2...
Which of the following quantities has the dimensions of an acceleration?
v^2/x = ([L]/[T])^2/[L] = [L]/[T]^2
underneath is the answer but I need someone to explain the general math on how V^2/x get to equal acceleration
Homework Answers
The dimension of velocity is given by,
Dimension of length is,
Therefore, the dimension of 
is,
Which is the dimension of acceleration.
Add Answer to:
Which of the following quantities has the dimensions of an
acceleration?
v^2/x = ([L]/[T])^2/[L] = [L]/[T]^2...
Show that the expression v = at, where v represents speed, a acceleration, and t an...
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...
Exercise 1 Obtain expressions for the dimensions of the following quantities using both (1) the absolute...
Exercise 1 Obtain expressions for the dimensions of the following quantities using both (1) the absolute dimensional system, and, (2) the gravitational dimensional system Here, x, x1, and x2 represent lengths , t is time, m is a constant mass, <a represents acceleration, g is a constant acceleration, and F represents force E is an unknown constant quantity drr2(t) dt C2 E mg 「x(t) dt Exercise 2 Given that F is a force. is a displacement. θ is an angle,...
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 occu
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...
units 1. Recall that we write XI = x if X ~ Mr where M is a mass and we set ћ = c = 1. Find X] for the following quantities X in D spacetime dimensions (a) Voltage V. (b) Current I. (c) Resistance R....
units
1. Recall that we write XI = x if X ~ Mr where M is a mass and we set ћ = c = 1. Find X] for the following quantities X in D spacetime dimensions (a) Voltage V. (b) Current I. (c) Resistance R. (d) TorqueT (e) Moment of inertia I. (f) The area A of a SD2 sphere (which can surround an object in D - 1 space dimensions. (g) The electric flux of an electrically charged...
C.For time, displacement, velocity, and acceleration the overall dimensions are as follows: ILI IL] d →...
C.For time, displacement, velocity, and acceleration the overall dimensions are as follows: ILI IL] d → [L] v mensions imensions [T]2 dimensions For each of the following equations of motion, analyze the dimensions of each term in the equations. Note that the subscripts only indicate a difference between initial and final values (i.e. v and vo both are still just velocities in terms of dimensions). Please show your work. v= vo + at v Voat LI,L,LtT] (which is again Ti)...
Which of the following expressions does not have the correct dimensions for calculating the time it...
Which of the following expressions does not have the correct dimensions for calculating the time it takes an object to fall to the ground? Force has dimensions of ? ⋅ ?/?2 a. volume/ (area x speed) b. distance/ speed c. √distance x mass / force (square root over the whole equation) d. velocity / acceleration e. area/acceleration The answer is E, but I do not understand how it is not B. Please show the dimensions for each. Thank you
Please help me on this. 9. Suppose A = B^n C^m, where A has dimensions L^10...
Please help me on this. 9. Suppose A = B^n C^m, where A has dimensions L^10 T^4, B has dimensions L^2 T ^− 1, and C has dimensions L^2T ^2. Then the exponents n and m have the values: Group of answer choices n = -1 and m = 2 n = 3/5 and m =4/5 n = 2 and m= 3 n = 4/5 and m = −1/5 n = 1/4 and m = 3/4 13. Consider the position of a...
The following information pertains to a particle in a 2-D box. Both dimensions of the box...
The following information pertains to a particle in a 2-D box. Both dimensions of the box are equal (Lx=Ly=L) Normalized Eigen functions: 1. Ψ(x,y)= 2/L sin (nπx/L)sin( kπy/L) 2. H= h2/2m( d2/dx2+ d2/dy2)+ V (x,y) Boundary Conditions: V( x,y > 0; x,y < L) =0 V(x,y > L; x,y < 0 ) = Infinity a. Draw the 2-D potential energy surface ("box") that confines the particle. b. Use equations 2 and 3 to produce the general solution ( a formula in...
Use dimension m→[M] x→[L] for the variables in the following questions) 1. If a variable K...
Use dimension m→[M] x→[L] for the variables in the following questions) 1. If a variable K has dimensions 17] v→ a→ MIUY, what should be dimension of k in the equation K - Amv 2. What should be the dimensions of C, and C2 in the expression v Ce? 3. What should be the dimensions of , Aand A, in the expression r AA, sin (o)? 4. The distance d that a particle moves may be calculated from the expression...
5.29 Consider the flow field given by V mine (a) the number of dimensions of the flow, (b) if it is a possible incompressible flow, and (c) the acceleration of a fluid particle at point (x, y, z...
5.29 Consider the flow field given by V mine (a) the number of dimensions of the flow, (b) if it is a possible incompressible flow, and (c) the acceleration of a fluid particle at point (x, y, z) (2, 3, 4). хузі-4y+yk. Deter- 5.1 Which of the following sets of equations represent possible two- dimensional incompressible flow cases? (d) 11 = (2x+4y)st; u=3(x+y)yt
5.29 Consider the flow field given by V mine (a) the number of dimensions of the flow,...
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...
Exercise 1 Obtain expressions for the dimensions of the following quantities using both (1) the absolute dimensional system, and, (2) the gravitational dimensional system Here, x, x1, and x2 represent lengths , t is time, m is a constant mass, <a represents acceleration, g is a constant acceleration, and F represents force E is an unknown constant quantity drr2(t) dt C2 E mg 「x(t) dt Exercise 2 Given that F is a force. is a displacement. θ is an angle,...
units
1. Recall that we write XI = x if X ~ Mr where M is a mass and we set ћ = c = 1. Find X] for the following quantities X in D spacetime dimensions (a) Voltage V. (b) Current I. (c) Resistance R. (d) TorqueT (e) Moment of inertia I. (f) The area A of a SD2 sphere (which can surround an object in D - 1 space dimensions. (g) The electric flux of an electrically charged...
C.For time, displacement, velocity, and acceleration the overall dimensions are as follows: ILI IL] d → [L] v mensions imensions [T]2 dimensions For each of the following equations of motion, analyze the dimensions of each term in the equations. Note that the subscripts only indicate a difference between initial and final values (i.e. v and vo both are still just velocities in terms of dimensions). Please show your work. v= vo + at v Voat LI,L,LtT] (which is again Ti)...
Use dimension m→[M] x→[L] for the variables in the following questions) 1. If a variable K has dimensions 17] v→ a→ MIUY, what should be dimension of k in the equation K - Amv 2. What should be the dimensions of C, and C2 in the expression v Ce? 3. What should be the dimensions of , Aand A, in the expression r AA, sin (o)? 4. The distance d that a particle moves may be calculated from the expression...
5.29 Consider the flow field given by V mine (a) the number of dimensions of the flow, (b) if it is a possible incompressible flow, and (c) the acceleration of a fluid particle at point (x, y, z) (2, 3, 4). хузі-4y+yk. Deter- 5.1 Which of the following sets of equations represent possible two- dimensional incompressible flow cases? (d) 11 = (2x+4y)st; u=3(x+y)yt
5.29 Consider the flow field given by V mine (a) the number of dimensions of the flow,...
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