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Challenge Question Number 1 for
Electrician #1074
Related Subject(s):
Industrial Arts/Technology Education Mathematics
Related Soft Skill(s):
Using Technology Analyzing Information Solving Problems
Describe a typical "challenge" encountered in your work:
An electrician is installing conduit on a wall. An eight-inch obstruction lies within the same path or plane as the conduit. The electrician must bend the conduit in order to "offset" above the eight-inch obstruction. In order to fabricate the offset, the electrician will need to place two separate bends in the conduit using a conduit bender. The two separate bends will need to be bent at the same angle opposite each other to accomplish the offset. The electrician will bend the conduit using 30 degree angles because 30 degree bends in the conduit will make it easier to pull wires through the conduit. The electrician must now determine the exact distance between the two bends that must be placed in the conduit.
Clearly describe what you expect from the students:
The electrician has received training during his/her apprenticeship on how to bend conduit. During the conduit bending training, a review of basic trigonometry was necessary to allow the apprentice a better understanding of the relationships regarding the right triangle. As you can see by the drawing below, the offset placed in the conduit forms a right triangle with the obstruction. The unknown distance between bends is the "hypotenuse" of the triangle. The height of the eight-inch obstruction will form the side opposite. Using the trigonometric function of sine, calculate the distance between bends.
In order to give the teacher some guidance in evaluating the student's project(s); list some tips that may help to assess the student's work:
Since the electrician has the known values of the angle theta and the side opposite the angle, then he/she must determine the hypotenuse by dividing the height of the opposite side by the sine of 30 degrees (the angle of the bends). The sine of a 30 degree angle is .5; therefore, a desired offset height of 8 inches divided by .5 is 16 inches. The electrician will need to place the two bends on the conduit sixteen inches apart.
It becomes apparent why most electricians bend all offsets using 30 degree angles so that the height of the offset is simply multiplied by two in order to obtain the distance between bends.
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