Concept explainers
Refer to Figure 29-7. Dimension A with its tolerance is given in each of the following problems. Determine the maximum dimension (maximum limit) and the minimum dimension (minimum limit) for each.
a. Dimension A
maximum________ minimum________
b. Dimension A
maximum________ minimum________
c. Dimension A
maximum________ minimum________
d. Dimension A
maximum________ minimum________
e. Dimension A
maximum________ minimum________
f. Dimension A
maximum________ minimum________
g. Dimension A
maximum________ minimum________
h. Dimension A
maximum________ minimum________
i. Dimension A
maximum________ minimum________
j. Dimension A
maximum________ minimum________
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Chapter 29 Solutions
Mathematics For Machine Technology
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- Of two gears that mesh, the one that has the greater number of teeth is called the gear, and the one that has the fewer teeth is called the pinion (Figure 218). For each of the problems, set up a proportion, and determine the unknown value, x. Round the answers to 1 decimal place where necessary.arrow_forward2. It takes a car salesman 2.5 hours to drive from one city to another if he drives at a constant rate of 60 kilometres per hour. How long will it take him to cover the same distance if he were to drive at a constant rate of 80 kilometres per hour, assuming the same road conditions?arrow_forward5. A triangle in the first (upper right) quadrant is to be formed using the axes along with a line segment from (a, 0) to (0, b) whose length is 10 units. This problem will lead you to identifying the situation that maximizes the triangle's area. a. Draw a picture of what's described above. b. Write an expression for the triangle’s area. c. Find a relationship between the quantities a, b, and 10. d. Find a function formula for the triangle's area whose only input variable is a. e. Find the maximum point of the function from part d. f. Describe the triangle that has the maximum area.arrow_forward
- A supplier of paper produces 10-sheet packs of certain high gloss paper for the production of brochures. For a publishing project we need 205 sheets and so purchase 21 packs. Due to manufacturing imperfections the packs do not always contain 10 sheets. If we denote by X; the number of sheets of paper in the ith pack then (0.1 if k = 9 0.8 if k = 10 P(X₁ = k) = 0.1 if k = 11 0 if k {9, 10, 11}. We further assume that the random variables X; are independent. (a) Find the mean and standard deviation of Xi. (b) Denote by X the total number of paper sheets we have purchased, X = X₁++X21. Calculate the mean and standard deviation of X. (c) Estimate the probability that we have purchased enough sheets for our project, 205). You should use the continuity correction. i.e. P(Xarrow_forwardLl.30.arrow_forwardApplied Max and Min problemarrow_forward
- What is the minimum value of h (1) =1 – 16z + 60? 04 O-60 O 60arrow_forward1. 1400 cm² of material is available to create a box with a square base, and a closed top. Draw a diagram and label the knowns and unknowns, then find a formula for the volume of such a box, as a function of a single variable. 2. A farmer has 1200 feet of fencing to enclose a trapezoidal field along a slanted river, as shown in the diagram below. One of the parallel sides is three times longer than the other. No fence is needed along the river. The farmer wishes to make the area of the field as large as possible. Use the diagram below to identify the objective (primary) equation and the constraint (secondary) equation. 3x river Yarrow_forwardDerive the " Kuhn-Tucker" FoC conditions and find the max.arrow_forward
- Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage