Exam 2: Common Fractions

A $R _ { T }$ -inch bolt is inserted through a block inch thick with a $1 / 8$ -inch washer and a $1 /2$ -inch nut. How much of the bolt will extend beyond the nut when drawn up tightly?

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 piece of carbon inch thick has a copper plating of $1 / 64$ inch on each side. What is the total thickness?

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 cable measures CM= where N= number of wires K= constant (10.8) L= length of one wire infeet R= resistance in ohms d= diameter in mils inch outside diameter and has $12 / 1,000$ inch of cotton and $50 / 1,000$ inch of rubber insulation. Determine the diameter of the copper conductor (wire).

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. An electrician uses kW load = where k W load =3 -phase power in kilowatts I= current in amperes X= voltage in volts P F= power factor feet of push-back wire from a 200-foot roll. How many feet of wire are left on the roll?

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 motor brush is Z= where Z= impedance in ohms E= voltage in volts I = current in amperes inches long. How long is it after $49 / 64$ wears away?

What space on a bolt will six washers or spacers of the following thicknesses occupy: $7 / 8 : 1 / 8$ inch, $1 /32$ inch, $1 / 64$ inch, $1 /32$ inch, $1 / 8$ inch, and $3 /16$ inch?

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 $4 /1,000$ inch. The shaft measured $875 / 1,000$ inch originally. The electrician removes another $8 /1,000$ inch and makes a new bearing to fit the shaft. What is the new size of the shaft?

A calculator display shows the fraction ³/₅. If this fraction is converted to a decimal by activating the key to convert a fraction to a decimal, the display will show:

A $28 / 32$ -inch hole must be enlarged to $58 / 64$ inch to insert a bushing. How much wider than the original hole will the new hole be?

How many $E _ { a }$ -inch long machine bolt blanks can be cut from a 5-foot length of stock? Allow $E b$ inch for waste on each blank.

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. What is the shortest strip of fiber from which five pieces of the following lengths can be cut: inches, $10~~11 / 16$ inches, $6~~9 / 16$ inches, $7~~1 / 2$ inches, and $1~~5 / 8$ inches? No allowance is made for waste.

It is not possible to subtract improper fractions such as 3 ¹/₂ from 7 ⁷/₁₆ using a scientific calculator.

Two electricians work 6 hours each per day for 5 days. Find the total number of hours worked.

How many whole wedges $E _ { C }$ inches long can be made from 20 wedge strips, each 3 feet long?

How many 6 AMERICAN WIRE GAUGE SIZE NUMBER WIRE DIAMETER IN INCHES 10 0.10190 11 0.09074 12 0.08081 13 0.07196 14 0.06408 15 0.05707 16 0.05082 -inch lengths can be cut from a 20-foot length of conduit?

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 shortest length of $E _ { 1 }$ -inch conduit from which the following pieces can be cut: $E _ { 2 }$ inches, $E _ { 1 }$ inches, $0 ^ { \circ }$ inches, $E _ { 2 }$ inches, and $E _ { 1 }$ inches. Allow $40 ^ { \circ }$ inch for each saw cut.

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. In a motor alignment, the following pieces of steel are used under the base: one piece $R _ { 1 } = 0$ inch thick, one piece inch thick, one piece $5 /32$ inch thick, and one piece $5 / 64$ inch thick. What is the total thickness of all these pieces?

Two electricians are assigned work on a remote-control wiring job. One electrician works 7 hours each day, and the other electrician works 1 $1 /2$ hours each day. If they both work for 5 days, how many times longer does the first electrician work than the second electrician?

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. A copper contact is insulated from its support with one piece of mica $X _ { L }$ inch thick, two pieces of fiber that are each inch thick, and $1 / 8$ inch of pressboard. The copper is $3 / 4$ inch thick, and the support is $7 / 8$ inch thick. What is the total thickness of copper, insulation, and support?

A certain circuit is properly fused for a 5-horsepower motor. If the motor is to be replaced by several $E_ X$ horsepower motors, how many motors will the fuses be able to carry?