(Heat transfer) The formula developed in Exercise 5 can be used to determine the cooling time, t, caused only by radiation, of each planet in the solar system. For convenience, this formula is repeated here (see Exercise 5 for a definition of each symbol):
Volume of a sphere
The volume of a single atom is approximately
Want to see the full answer?
Check out a sample textbook solutionChapter 3 Solutions
C++ for Engineers and Scientists
- (Mechanics) The deflection at any point along the centerline of a cantilevered beam, such as the one used for a balcony (see Figure 5.15), when a load is distributed evenly along the beam is given by this formula: d=wx224EI(x2+6l24lx) d is the deflection at location x (ft). xisthedistancefromthesecuredend( ft).wistheweightplacedattheendofthebeam( lbs/ft).listhebeamlength( ft). Eisthemodulesofelasticity( lbs/f t 2 ).Iisthesecondmomentofinertia( f t 4 ). For the beam shown in Figure 5.15, the second moment of inertia is determined as follows: l=bh312 b is the beam’s base. h is the beam’s height. Using these formulas, write, compile, and run a C++ program that determines and displays a table of the deflection for a cantilevered pine beam at half-foot increments along its length, using the following data: w=200lbs/ftl=3ftE=187.2106lb/ft2b=.2fth=.3ftarrow_forward(xiii) Determine all the permutations of the numbers less than or equal to some given number n. For example, if n = 123, then the permutations are: 123 321 231 132 213 312 (xiv) Find a series of five consecutive numbers, the sum of the squares of the first three of which is equal to the sum of the squares of the last two. For example, (– 2)2+ (– 1)2+ 02= 12+ 22 (xv) Limit the checking within 1000, to show all the triad numbers within 10,000. A number is said to be a triad number if the double and triple of the number contain all separate digits with no repetition of any one of them. (xvi) Identify and show the integer values of x, y, and z that satisfy the equation: Z²= X²+ y²arrow_forward(proof by contraposition) If the product of two integers is not divisible by an integer n, then neither integer is divisible by narrow_forward
- P5. ( Boolean Algebra Circuit. (1) Transform the following Boolean equation in SOP form to POS form: Y = F(A, B, C, D) = ĀB + CD (2) Expand the following Boolean equation into a sum of minterms, where each minterm should have the three input variables in their original or complement forms. Y = F(A, B, C) = AC + AB (3) Simplify the following Boolean equations using Boolean theorems. For each step in the minimization process, show which theorem or axiom or method or definition is used to get there. Y = ABC + B + AC + B (4) Transform the following Boolean equation to an equation that only has 2-input NAND gate(s) and/or NOT gate(s). You are not required to draw a schematic. Y = A + B + Carrow_forward( Answers to be solved with proper steps and uploaded within one file into Moodle) Determine the complement of the given expression and then simplify using appropriate rules and laws Y=(C’B’A’+C’BA+CB’A)arrow_forwardQ.2: Write Regular Expression for the following automation by using Kleene's Theorem (q, is the final state). 90 ga 9b qc a barrow_forward
- (Do it on R) Please find and solve the attached problem belowarrow_forward1. Derive the modified distance formula if we want the projectile lands on a hill that has a height of h(x) (the function x increases monotonically), at a distance R. Write F(x) whose roots must be found in order to find the angle initial, given the initial velocity V0. (With python 3)arrow_forward24 ) There are ABCDE Variables. (5 Variables) In the following cases, logic expression returns 1. A B C D E 1 1 1 1 1 1 1 1 1 1 1 1 1 *Reduce the function ( by using third order MEV method and K-map) And write the logical Expression. And Draw the Circuit.arrow_forward
- Q2) Apply DeMorgan's theorems to the expressions:- 1) (AB'.(A + C))+ A'B.(A + B+ C") 2) ((A+BC')+D(E+F')) 3) A + BC + D(E + F)arrow_forward(a) Complete the following Table 1 by writing the infix and postfix expressions, respectively. (Note: Write curve bracket i.e() if necessary for the infix expression; use character x for multiplication; no spacing for answers) Table 1 Infix Postfix (A+B) / (CXD) AB/CD+X (b) Calculate the final value of the following postfix expression. Consider each number is represented in one digit decimal value. 23^2*6-82/11+/+ Answer =arrow_forward(Python) Numerous engineering and scientific applications require finding solutions to a set of equations. Ex: 8x + 7y = 38 and 3x - 5y = -1 have a solution x = 3, y = 2. Given integer coefficients of two linear equations with variables x and y, use brute force to find an integer solution for x and y in the range -10 to 10. Ex: If the input is: 8 7 38 3 -5 -1 Then the output is: x = 3 , y = 2 Use this brute force approach: For every value of x from -10 to 10 For every value of y from -10 to 10 Check if the current x and y satisfy both equations. If so, output the solution, and finish. Ex: If no solution is found, output: "There is no solution" You can assume the two equations have no more than one solution. ''' Read in first equation, ax + by = c '''a = int(input())b = int(input())c = int(input()) ''' Read in second equation, dx + ey = f '''d = int(input())e = int(input())f = int(input())arrow_forward
- C++ for Engineers and ScientistsComputer ScienceISBN:9781133187844Author:Bronson, Gary J.Publisher:Course Technology Ptr