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1. If Khas dimensions ML2/T 2, the α in K A. have the dimensions ML/T2, B....
1. If K has dimensions ML/T2, the a in K- amv2 must A. have the dimensions...
1. If K has dimensions ML/T2, the a in K- amv2 must A. have the dimensions ML/T2 B. have the dimensions M C. have the dimensions L/T2 D. have the dimensions L2/T2. E. be dimensionless. 2. The prefix "milli" means A. 10-12 B. 10-6 10-3. D. 10-2. Lebron James' height is 6'8" (1'-0.3048 m, 1" 0.0254 m). Tallest player to ever play in NBA was Gheorghe Muresan, who is 231 cm tall. Determine the 3. absolute difference between players height.o...
and r represent position and time, A) be dimensionless B) have the dimensions LUT C) have...
and r represent position and time, A) be dimensionless B) have the dimensions LUT C) have the dimensions lL'T D) have the dimensions 1/T E) have the dimensions L tr respectively, the A in x # A cos(B) must
Problem 2] The movement of robot designed to crawl along a wall can be characterized using the bo...
Problem 2] The movement of robot designed to crawl along a wall can be characterized using the body angle a (dimensionless), frequency (o), distance to wall (d), its polar moment of inertia C: dimensions ML2), input moment (Mi; dimensions ML-T2), look-ahead distance (E), damping coefficient (B; dimensions MLT]), and forward speed (u), Derive the non-dimensional parameters that relate these quantities. if the functional dependence is given as G(o)- atu 1 rewrite this equation using the non-dimensional variables that you have...
Dimensions Can i have Answer for line j. pter 2 Dimensions and Units PROBLEMS Dimensions 2.1...
Dimensions
Can i have Answer for line j.
pter 2 Dimensions and Units PROBLEMS Dimensions 2.1 For the following dimensional equations, find the base dimensions of the parameter k . MLt-kML ab. MLt L kLt L kM'T d. ML't3kLT e. nLL'k T"M L f. MIPk= nTM L g. IL't - Mt2 b. KTML5 TtL i. T1/L12 =/2T3/L MLt= MLt sin (kL M1) E. T'n= T'n In (knT) 90 ods n Sm sid dion ut d o bubon
[4 marks) (Scaling) In Fisher's equation, и Ut = DUcx + ru(1 K the variables t,...
[4 marks) (Scaling) In Fisher's equation, и Ut = DUcx + ru(1 K the variables t, 2, and u have dimensions is time, length, and population (animal) per area respectively. The parameters are the growth rate r with units of 1/time, the carrying capacity K with units of population (animals) per area and the diffusion constant D with dimensions length-squared per time. Use the following scales to build dimensionless variables and rewrite the equation in a dimensionless form. t х...
Let α = {1 + 2t, t − t 2 , t + t 2} (a)...
Let α = {1 + 2t, t − t 2 , t + t 2}
(a) Show that α is a basis for P2(R).
(b) Let p(t) = 1 + 3t + t 2 . Find [p(t)]α.
(c) Define the transformation T : P2(R) → P2(R) as T (p(t)) = p
0 (t) − p(t) i.e., the difference of p(t) and its first derivative.
Determine whether this transformation is a linear
transformation.
(d) Find [T]α
Problem 4. Let a =...
3. A 2 m long cylindrical shell with variable conductivity (k (T) ko (3+ (T2/2) is...
3. A 2 m long cylindrical shell with variable conductivity (k (T) ko (3+ (T2/2) is subjected to specified temperatures (T1 = 90°C and T2-200° C). The rate of heat transfer through the shell is to be determined. r2-40 cm, koー50 W/rm°C n-20 cm, L=2m, β=15 x 104 W/m K.,
QUESTION 7** On a 1 m square plate is a hole of area A 0.3 m2 at T: 200 K The plate is made of a material whose linear thermal expansion coefficient is α increase AA of the area of the window at T-30...
QUESTION 7** On a 1 m square plate is a hole of area A 0.3 m2 at T: 200 K The plate is made of a material whose linear thermal expansion coefficient is α increase AA of the area of the window at T-300 K compared with that at T- 200 K? 13 x 10 6 K l what is the ΔΑ: 5.3x10-4m2 ΔΑ = 7.8 × 10-4 m2 ΔΑ = 9.3 × 10-4 m2 ΔΑ =11.2×10-4 m2 4A =...
a.) If T2 is 299.15 K, T1 is 292.95 K, the area of the room is...
a.) If T2 is 299.15 K, T1 is 292.95 K, the area of the room is 3.75 m^2, thermal conductivity (k) is 1.04, and the thickness of the wall is .283 m. what is the rate of conduction? b.) If T2 is 299.15 K, T1 is 292.95 K, the mass of the room is 12.01 kg, specific heat is 1000 J/kg˚C. what is the rate of convection? c.) if If T2 is 299.15 K, T1 is 292.95 K, the rate...
4. The term ½ pv2 occurs in Bernoulli's equation in chapter 15, with p being the...
4. The term ½ pv2 occurs in Bernoulli's equation in chapter 15, with p being the density of a fluid and v its speed. The dimensions of this term are (M) (L2) (L3) (T) This is where I am having a problem 5. うmva? Which of the following quantities has the same dimensions as kinetic energy, Note: [a]-kl-LT, [h] = L and [v] = LT-1 a. ma b. mvx c. mvt 2 This is where I am having a problem...
1. If K has dimensions ML/T2, the a in K- amv2 must A. have the dimensions ML/T2 B. have the dimensions M C. have the dimensions L/T2 D. have the dimensions L2/T2. E. be dimensionless. 2. The prefix "milli" means A. 10-12 B. 10-6 10-3. D. 10-2. Lebron James' height is 6'8" (1'-0.3048 m, 1" 0.0254 m). Tallest player to ever play in NBA was Gheorghe Muresan, who is 231 cm tall. Determine the 3. absolute difference between players height.o...
and r represent position and time, A) be dimensionless B) have the dimensions LUT C) have the dimensions lL'T D) have the dimensions 1/T E) have the dimensions L tr respectively, the A in x # A cos(B) must
Problem 2] The movement of robot designed to crawl along a wall can be characterized using the body angle a (dimensionless), frequency (o), distance to wall (d), its polar moment of inertia C: dimensions ML2), input moment (Mi; dimensions ML-T2), look-ahead distance (E), damping coefficient (B; dimensions MLT]), and forward speed (u), Derive the non-dimensional parameters that relate these quantities. if the functional dependence is given as G(o)- atu 1 rewrite this equation using the non-dimensional variables that you have...
Dimensions
Can i have Answer for line j.
pter 2 Dimensions and Units PROBLEMS Dimensions 2.1 For the following dimensional equations, find the base dimensions of the parameter k . MLt-kML ab. MLt L kLt L kM'T d. ML't3kLT e. nLL'k T"M L f. MIPk= nTM L g. IL't - Mt2 b. KTML5 TtL i. T1/L12 =/2T3/L MLt= MLt sin (kL M1) E. T'n= T'n In (knT) 90 ods n Sm sid dion ut d o bubon
[4 marks) (Scaling) In Fisher's equation, и Ut = DUcx + ru(1 K the variables t, 2, and u have dimensions is time, length, and population (animal) per area respectively. The parameters are the growth rate r with units of 1/time, the carrying capacity K with units of population (animals) per area and the diffusion constant D with dimensions length-squared per time. Use the following scales to build dimensionless variables and rewrite the equation in a dimensionless form. t х...
Let α = {1 + 2t, t − t 2 , t + t 2}
(a) Show that α is a basis for P2(R).
(b) Let p(t) = 1 + 3t + t 2 . Find [p(t)]α.
(c) Define the transformation T : P2(R) → P2(R) as T (p(t)) = p
0 (t) − p(t) i.e., the difference of p(t) and its first derivative.
Determine whether this transformation is a linear
transformation.
(d) Find [T]α
Problem 4. Let a =...
3. A 2 m long cylindrical shell with variable conductivity (k (T) ko (3+ (T2/2) is subjected to specified temperatures (T1 = 90°C and T2-200° C). The rate of heat transfer through the shell is to be determined. r2-40 cm, koー50 W/rm°C n-20 cm, L=2m, β=15 x 104 W/m K.,
QUESTION 7** On a 1 m square plate is a hole of area A 0.3 m2 at T: 200 K The plate is made of a material whose linear thermal expansion coefficient is α increase AA of the area of the window at T-300 K compared with that at T- 200 K? 13 x 10 6 K l what is the ΔΑ: 5.3x10-4m2 ΔΑ = 7.8 × 10-4 m2 ΔΑ = 9.3 × 10-4 m2 ΔΑ =11.2×10-4 m2 4A =...
4. The term ½ pv2 occurs in Bernoulli's equation in chapter 15, with p being the density of a fluid and v its speed. The dimensions of this term are (M) (L2) (L3) (T) This is where I am having a problem 5. うmva? Which of the following quantities has the same dimensions as kinetic energy, Note: [a]-kl-LT, [h] = L and [v] = LT-1 a. ma b. mvx c. mvt 2 This is where I am having a problem...
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