Exam 2: Common Fractions

Mixed format: $E _ { L I N E } = \sqrt { E_ R ^ { 2 } + E_ X ^ { 2 } }$ (with a space between the whole number and the numerator) Fraction format: $1 /4$ Reduce all fractions. The slot shown is R= where R= resistance in ohms L= length in feet d= diameter in mils K=10.8 (constant) inch wide and $1 /2$ inch deep. The piece of fiber is $5 / 64$ inch thick. How deep is the space left for wires?

How many pieces $E _ { \text {LINE} }$ inch long can be cut from a strip of sheet metal $E_ X$ inches long?

Find the total resistance (R t ) of a three-series connected resistors. $I = \frac { Z } { E }$

Eight resistances are connected in series as shown. The unit of measure for resistance is the ohm. The resistance in a series circuit is the sum of all resistances in that circuit. Find the total amount of resistance in the circuit. $C = \frac { k d } { A }$

Mixed format: $E _ { L I N E } = \sqrt { E _R ^ { 2 } + E_ X ^ { 2 } }$ (with a space between the whole number and the numerator) Fraction format: $1 /4$ Reduce all fractions. One meter of shielded microphone cable weighs $f = 1 / t$ kilogram. What is the length of cable in the coil that weighs $5~~1 / 2$ kilograms?

If an electrician works $X _ { L }$ hours a day on a job at $16 per hour; how much money does he earn in 5 days?

Mixed format: $E _ { L I N E } = \sqrt { E _R ^ { 2 } + E_ X ^ { 2 } }$ (with a space between the whole number and the numerator) Fraction format: $1 /4$ Reduce all fractions. The diameter of a steel shaft, through wear, is reduced $R _ { T }$ inch. The shaft measures inch originally. The electrician removes another $9 /1,000$ inch and makes a new bearing to fit the shaft. What is the size of the shaft after the work is completed?

Mixed format: $E _ { L IN E } = \sqrt { E _R ^ { 2 } + E _X ^ { 2 } }$ (with a space between the whole number and the numerator) Fraction format: $1 /4$ Reduce all fractions. A department in a factory has three $\theta = 360 t _ { i } f$ -horsepower motors, five $1 /4$ -horsepower motors, six $3~~1 / 3$ -horsepower motors, and eight $7~~1 / 2$ -horsepower motors. What is the total connected motor load in horsepower rating?

Mixed format: $E _ { L D N E } = \sqrt { E _R ^ { 2 } + E _X ^ { 2 } }$ (with a space between the whole number and the numerator) Fraction format: $1 /4$ Reduce all fractions. In estimating a job, it is decided that it should take 13 people I=P/E CM=KNLI/ hours each to do part of the work, and 7 people $6~~3 / 4$ hours each to do the remainder of the job. Determine the total number of hours estimated for the job.

Mixed format: $E _ { LIN E } = \sqrt { E _R ^ { 2 } + E _X ^ { 2 } }$ (with a space between the whole number and the numerator) Fraction format: $1 /4$ Reduce all fractions. A motor commutator inches in diameter is turned down to remove a flat spot. If $3 / 64$ inch is removed from the surface, find the finished diameter.

Mixed format: $E _ { L I N E } = \sqrt { E_ R ^ { 2 } + E _X ^ { 2 } }$ (with a space between the whole number and the numerator) Fraction format: $1 /4$ Reduce all fractions. Find the distance (A) for the bend of electrical conduit that is passing under the girder shown in the figure. $I _ { S }$

The function key on a scientific calculator that will change a fraction to a decimal is:

Mixed format: $E _ { LI N E } = \sqrt { E _R ^ { 2 } + E _X ^ { 2 } }$ (with a space between the whole number and the numerator) Fraction format: $1 /4$ Reduce all fractions. A department in a factory has three 7 -horsepower motors; four 1 $1 /2$ horsepower motors; two $1 /4$ -horsepower motors; and three $1 /2$ -horse- power motors. What is the total connected motor load in horsepower rating?

Calculators can be used to add, subtract, multiply, and divide fractions.

A standard package of 3-inch molding junction boxes weighs $X _ { L } = \sqrt { Z ^ { 2 } - R ^ { 2 } }$ pounds. If 16 packages are purchased, find the total weight.

Mixed format: $E _ { L I N E } = \sqrt { E _R ^ { 2 } + E _X ^ { 2 } }$ (with a space between the whole number and the numerator) Fraction format: $1 /4$ Reduce all fractions. If 7 kilowatts of power are distributed equally over 5 resistors, what is the average number of kilowatts per resistor?

Mixed format: $E _ { L I N E } = \sqrt { E _R ^ { 2 } + E_ X ^ { 2 } }$ (with a space between the whole number and the numerator) Fraction format: $1 /4$ Reduce all fractions. A 75-watt, 120-volt light uses f= where f= frequency in hertz P = number of pairs of poles N = revolution per minute ampere. How many amperes are used by the 5 lights connected in parallel?

Mixed format: $E _ { L I N E } = \sqrt { E _R ^ { 2 } + E_ X ^ { 2 } }$ (with a space between the whole number and the numerator) Fraction format: $1 /4$ Reduce all fractions. The insulation to be used in a certain slot is as follows: fish paper, $h p=\frac{\sqrt{3}(E)(L)(E f f)(P F)}{746}$ inch; Tufflex, $1 /16$ inch; varnished cambric, $1 /32$ inch; and top stick, $1 / 8$ inch. What is the total thickness of all the insulation?

How many whole wedges 6 inches long can be made from two wedge strips, each 5 $1 /4$ feet long?

Mixed format: $E _ { LI N E } = \sqrt { E _R ^ { 2 } + E _X ^ { 2 } }$ (with a space between the whole number and the numerator) Fraction format: $1 /4$ Reduce all fractions. Eight motors, each having a rated horsepower as indicated on the diagram, are connected in a circuit. What is the total horsepower of motors 1 through 4 inclusive? $d ^ { 2 }$