## Roper's Questions and Answers for Engineers |

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### Popular passages

Page 55 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.

Page 55 - The logarithm of a number is the exponent of the power to which it is necessary to raise a fixed number, in order to produce the first number.

Page 45 - It is a matter of ordinary observation that heat, by expanding bodies, is a source of mechanical energy, and conversely, that mechanical energy, being expended either in compressing bodies or in friction, is a source of heat. ' The reduction of the laws according to which such phenomena take place to a physical theory or connected system of principles constitutes what is called the science of thermodynamics.

Page 56 - Explain the terms geometry and trigonometry. Answer. — Geometry is the science of position and extension ; that branch of mathematics which has for its object the investigation of the relations, properties, and measurement of solids, surfaces, lines, and angles. Trigonometry is that branch of mathematics whose object it is to determine unknown angles, or sides of triangles, by means of others which are known ; the art or science of measuring triangles. It also treats of the general relations existing...

Page 44 - The capacity of a body for heat is termed its specific heat, and may be defined as the number of units of heat necessary to raise the temperature of 1 pound of that body 1 degree Fahrenheit.

Page 47 - ... in excess of the temperature of the cold one ; so that a body if made twice as hot will lose a degree of temperature in one-fourth of the time...

Page 58 - The Centre of Gravity of a body is the point through which the resultant of the weight of the body always acts, no matter in what position the body be.

Page 52 - ... 141589 14437 Cube Root. To extract the cube root of a number, point off the number from right to left into periods of three figures each, and, if there is a decimal, commence at the decimal point and point off into periods, going both ways. Ascertain the highest root of the first period, and place it to the right of the number, as in long division; cube the root thus found and subtract from the first period; to the remainder annex the next period; square the root already found, multiply by three...

Page 14 - ... fulcrum. Add these three products together. This sum divided by the product of the area of the valve, and its distance from the fulcrum, will give the pressure in pounds per square inch.