Concept explainers
(a)
To perform the mathematical operation on formula
Answer to Problem 53A
The formula
Explanation of Solution
Given information:
Given that, the dimensions shown in the figure can be found using these two formulas.
Calculation:
We have been given the formula,
We need to solve the formula
Formula
Taking square of both sides, we get
Adding
Taking square root of both sides, we get
Hence, the formula
(b)
To solve formula
Answer to Problem 53A
The formula
Explanation of Solution
Given information:
Given that, the dimensions shown in the figure can be found using these two formulas.
Calculation:
We have been given the formula,
We need to solve the formula
Formula
Taking square of both sides, we get
Adding
Taking square root of both sides, we get
Hence, the formula
(c)
To perform the mathematical operation on formula
Answer to Problem 53A
The formula
Explanation of Solution
Given that, the dimensions shown in the figure can be found using these two formulas.
Calculation:
We have been given the formula,
We need to solve the formula
Formula
Adding
Subtracting
Hence, the formula
(d)
To solve formula
Answer to Problem 53A
The formula
Explanation of Solution
Given that, the dimensions shown in the figure can be found using these two formulas.
Calculation:
We have been given the formula,
We need to solve the formula
Formula
Adding
Subtracting
Dividing by
Hence, the formula
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Chapter 46 Solutions
Mathematics For Machine Technology
- The following formulas are used in machine trade calculations. Rearrange the formulas in terms of the designated letters. By (F1)=Cx a. Solve for x. b. Solve for B. c. Solve for C.arrow_forwardFor each of the following problems, substitute the given values in the formula and solve for the unknown. Check. One of the formulas used in computing spur gear dimensions is D0=D+2a. Determine D when a=0.1429 inch and D0=4.7144 inches.arrow_forwardAll dimensions are in inches. Round the answers to 3 decimal places. a. If y = 2.145" find x. b If y = 2.265", find x.arrow_forward
- The approximate distance d (in feet) that travel after noticing that they must come to a sudden stop is given by the following formula, where x is the speed of the car (in mi/h): d=x+x220 If a car travels 75 ft. before slopping, what was its speed before the brakes were applied?arrow_forwardSolve the following exercises based on Principles 11-14, although an exercise may require the application of two or more of any of the principles. Round the answers to 3 decimal places where necessary unless otherwise stated. ABC is equilateral. All dimensions are in inches. a. Find AB . b Find BC .arrow_forwardFor each of the following problems, substitute the given values in the formula and solve for the unknown. Check. A sheet metal formula used in computing the size of a stretch-out is L.S.=4s+W. Determine W when s=3 inches and L.S.=1218 inches.arrow_forward
- Solve each of the following equations using the root principle of equality. Round the answers to 3 decimal places where necessary. W2=2.753arrow_forwardSolve the following quadratic equations. Use any method. 326. 8v2+3=35arrow_forwardSolve the formula 5x+2y=18 for y: (a) when x=4 (b) in generalarrow_forward
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