Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Chapter 48, Problem 49A
To determine
Total number of teeth.
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A 900 ft.³ pool is to be built with the square bottom of side length X. The sides are built with tiles in the bottom cement. The cost per unit of tile is five dollars per square foot and the cost of the bottom is two dollars per square foot. For safety reasons The height must be 3 feet or less. If there is $1650 available for the cost of the material of the pool, what dimensions should the pool be? Round your answer off to two decimal places.
A grain silo consists of a cylindrical main section and a hemispherical
roof. If the total volume of the silo (including the part inside the roof
section) is 20000 ft° and the cylindrical part is 25 ft tall, what is the
radius of the silo? (After you set up an equation, you will need to use a
computer to solve it for the radius. Input your answer rounded to 4
decimal places.)
Note: The following formulas may be useful:
Volume of a Cylinder
= Tr²h
4
Volume of a Sphere = Tr
3
3
Begin by using a straight edge to draw the 5x3 grid as shown in this question on your paper. Fill in the exact values as requested, in the order requested. To be sure you don't lose
tract of where you are, putting in the trig function as shown is a good practice.
Give the exact value of the following. Do not use a calculator. Use correct units where appropriate. You may need to use ratios from our special triangles, the SOH CAH TOA
definition, and/or reference angles for angles in standard position. Do not write your answers with decimals. Write "undefined" or "undef" if the value is not defined.
put only your final, simplified answer in the answer box. You do not need to justify your answers.
cos 135° =
sin 360° =
sin 210° =
tan 90° =
cos 180° =
sin
sec 90° =
tan 0° =
cot T =
sin 3.
sin T =
cos 720° =
%3D
Chapter 48 Solutions
Mathematics For Machine Technology
Ch. 48 - Prob. 1ACh. 48 - Prob. 2ACh. 48 - Prob. 3ACh. 48 - Prob. 4ACh. 48 - Prob. 5ACh. 48 - Read the setting on the following 0.001-inch...Ch. 48 - Prob. 7ACh. 48 - Refer to the Decimal-Inch Spur Gears Table under...Ch. 48 - Prob. 9ACh. 48 - Prob. 10A
Ch. 48 - Prob. 11ACh. 48 - Refer to the Decimal-Inch Spur Gears Table under...Ch. 48 - Prob. 13ACh. 48 - Prob. 14ACh. 48 - Prob. 15ACh. 48 - Prob. 16ACh. 48 - Prob. 17ACh. 48 - Prob. 18ACh. 48 - Prob. 19ACh. 48 - Refer to the Decimal-Inch Spur Gears Table under...Ch. 48 - Prob. 21ACh. 48 - Prob. 22ACh. 48 - Prob. 23ACh. 48 - Prob. 24ACh. 48 - Prob. 25ACh. 48 - Prob. 26ACh. 48 - Prob. 27ACh. 48 - Refer to the Decimal-Inch Spur Gears Table under...Ch. 48 - Prob. 29ACh. 48 - Prob. 30ACh. 48 - Prob. 31ACh. 48 - Prob. 32ACh. 48 - Prob. 33ACh. 48 - Refer to the Decimal-Inch Spur Gears Table under...Ch. 48 - Refer to the Decimal-Inch Spur Gears Table under...Ch. 48 - Prob. 36ACh. 48 - Prob. 37ACh. 48 - Prob. 38ACh. 48 - Prob. 39ACh. 48 - Prob. 40ACh. 48 - Prob. 41ACh. 48 - Prob. 42ACh. 48 - Prob. 43ACh. 48 - Prob. 44ACh. 48 - Prob. 45ACh. 48 - Prob. 46ACh. 48 - Prob. 47ACh. 48 - Prob. 48ACh. 48 - Prob. 49ACh. 48 - Prob. 50ACh. 48 - Backlash is the amount that a tooth Space is...Ch. 48 - Prob. 52ACh. 48 - Prob. 53ACh. 48 - Prob. 54ACh. 48 - Prob. 55ACh. 48 - Prob. 56ACh. 48 - Prob. 57ACh. 48 - Prob. 58ACh. 48 - Prob. 59ACh. 48 - Prob. 60ACh. 48 - Prob. 61ACh. 48 - Prob. 62ACh. 48 - Prob. 63ACh. 48 - Prob. 64ACh. 48 - Prob. 65ACh. 48 - Prob. 66ACh. 48 - Prob. 67ACh. 48 - Prob. 68ACh. 48 - Prob. 69ACh. 48 - Prob. 70A
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- Considering that the consecutive dials on the natural gas meter rotate in opposite directions, what is the current reading in cubic feet of usage? The initial direction is clockwise.arrow_forwardA Shaft rotates in a bearing that is 0.3968 inch in diameter. The total between the shaft and bearing is 0.0008 inch. What is the diameter of the shaft? For each of the following problems, substitute the given values in the formula andarrow_forwardIn each of the following problems, refer to the corresponding figure. Write an equation, solve for x, and check. All dimensions are in millimeters.arrow_forward
- Figure 219 shows a compound gear train. Gears B and C are keyed to the same shaft; therefore, they turn at the same speed. Gear A and gear C are driving gears. Gear B and gear D are driven gears. Set up a proportion for each problem and determine the unknown values, x, y, and z in the table. Round the answers to 1 decimal place where necessary.arrow_forwardA single-threaded (or single-start) square-thread screw is shown in Figure 5-6. The lead of a screw is the distance that the screw advances in one turn (revolution). The lead is equal to the pitch in a single-threaded screw. Given the number of turns and the amount of screw advance, determine the leads.arrow_forwardRefer to the Decimal-Inch Spur Gears Table under the heading "Gearing-Diametral Pitch System" in Unit 48 to determine the pitch diameter of an 8-pitch gear that has 45 teeth.arrow_forward
- Read the decimal-inch measurement on the vernier height gage in Figure 41-2.arrow_forwardSolve the following exercises based on Principles 18 through 21, although an exercise may require the application of two or more of any of the principles. Where necessary, round linear answers in inches to 3 decimal places and millimeters to 2 decimal places. Round angular answers in decimal degrees to 2 decimal places and degrees and minutes to the nearest minute. Three posts are mounted on the fixture shown. Each post is tangent tothe arc made by the 0.650-inch radius. Determine (a) dimension A and(b) dimension B. Note: The fixture is symmetrical (identical) on each side of the horizontalcenterline ( CL ). All dimensions are in inches.arrow_forwardIn each of the following problems, refer to the given figure, solve for the unknowns, and check. Find the distances between the indicated holes. All dimensions are in millimeters. a. Hole 1 to hole 2 b. Hole 2 to hole 3 C. Hole 3 to hole 4 d. Hole 4 to hole 5 e. Hole 5 to hole 6 f. Hole 2 to hole 4 g. Hole 3 to hole 6arrow_forward
- Solve the following exercises based on Principles 18 through 21, although an exercise may require the application of two or more of any of the principles. Where necessary, round linear answers in inches to 3 decimal places and millimeters to 2 decimal places. Round angular answers in decimal degrees to 2 decimal places and degrees and minutes to the nearest minute. Three holes are to be located on the layout shown. The 72.40-mm diameter and 30.80-mm diameter holes are tangent at point T, and TA is the common tangent line between the two holes. Determine (a) dimension C and (b) dimension D.arrow_forwardSolve the following applied right triangle problems. Compute linear values to 3 decimal places, customary unit angles to the nearer minute, and metric angles to the nearer hundredth degree. 24. Determine dimension x. All dimension are in millimeters. .arrow_forwardSolve the following exercises based on Principles 18 through 21, although an exercise may require the application of two or more of any of the principles. Where necessary, round linear answers in inches to 3 decimal places and millimeters to 2 decimal places. Round angular answers in decimal degrees to 2 decimal places and degrees and minutes to the nearest minute. All dimensions arein inches. a. If Dia A = 1.000", find x. If Dia A = 0.800",find x.arrow_forward
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