class: prep math for Eng tech

MET 1111 Homework

Goal: Metric System and 15 Sections

Examples (within each section)

Practice Exercises (end of each sections) - Assignments

General Review Questions (Section 22)

The Metric System

01 Dimensions and Areas of Circles

02 Chord Segments, Hole Circles, And Spheres

03 Formulas and Their Rearrangement

04 Spreadsheet Calculations

05 Calculations Involving Logarithms

06 Dimensions, Area, And Volumes of Geometrical Figures

07 Geometrical Propositions and Constructions

08 Functions of Angles

09 Solution of Right-angle Triangles

10 Solution of Oblique Triangles

11 Figuring Tapers

12 Tolerances and Allowances for Machine Parts

13 Using Standards Data and Information

14 Standard Screw and Pipe Threads

15 Problems in Mechanics

MET 1111 Homework

The Metric System

TBD

MET 1111 Homework

01 Dimensions and Areas of Circles

HOMEWORK FOR SECTION 1

1) Find the area and circumference of a circle 10 mm in diameter.

2) On Handbook page 1062, for a 5-mm diameter tool or work-piece rotating at 318 rpm, the

corresponding cutting speed is given as 5 meters per minute. Check this value.

3) For a cylinder 100 mm in diameter and 10 mm high, what is the surface area not including the top or

bottom?

4) A steel column carrying a load of 10,000 pounds has a diameter of 10 inches. What is the pressure on

the floor in pounds per square inch?

5) What is the ratio of the area of a square of any size to the area of a circle having the same diameter as

one side of the square?

6) What is the ratio of the area of a circle to the area of a square inscribed in that circle?

7) The drilling speed for cast iron is assumed to be 70 feet per minute. Find the time required to drill two

holes in each of 500 castings if each hole has a diameter of 3⁄4 inch and is 1 inch deep. Use 0.010 inch

feed and allow one-fourth minute per hole for setup.

8) Find the weight of a cast-iron column 10 inches in diameter and 10 feet high. Cast iron weighs 0.26

pound per cubic inch.

9) If machine steel has a tensile strength of 55,000 pounds per square inch, what should be the diameter

of a rod to support 36,000 pounds if the safe working stress is assumed to be one-fifth of the tensile

strength?

10) Moving the circumference of a 16-inch automobile flywheel 2 inches moves the camshaft through

how many degrees? (The camshaft rotates at one-half the flywheel speed.)

11) What is the area within a circle that surrounds a square inscribed in the circle (shaded area)?

12) A hydraulic cylinder, rated for 2000 psi, is said to have 5-inchbore and 2.5-inch piston diameter. If

operated at the rated pressure, what forces could be developed on extension and return strokes?

MET 1111 Homework

02 Chord Segments, Hole Circles, And Spheres

MET 1111 Homework

03 Formulas and Their Rearrangement

MET 1111 Homework

MET 1111 Homework

04 Spreadsheet Calculations

MET 1111 Homework

MET 1111 Homework

05 Calculations Involving Logarithms

MET 1111 Homework

06 Dimensions, Area, And Volumes of Geometrical Figures

MET 1111 Homework

MET 1111 Homework

MET 1111 Homework

07 Geometrical Propositions and Constructions

MET 1111 Homework

MET 1111 Homework

08 Functions of Angles

MET 1111 Homework

09 Solution of Right-angle Triangles

MET 1111 Homework

MET 1111 Homework

MET 1111 Homework

10 Solution of Oblique Triangles

MET 1111 Homework

11 Figuring Tapers

MET 1111 Homework

12 Tolerances and Allowances for Machine Parts

13 Using Standards Data and Information

MET 1111 Homework

14 Standard Screw and Pipe Threads

MET 1111 Homework

15 Problems in Mechanics

MET 1111 Homework

MET 1111 Homework