Applied Mathematics Flashcards
7 cards from real IST practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 7 Applied Mathematics flashcards as text
A machine produces 250 parts per hour with a 3% scrap rate. How many good parts are made in an 8-hour shift?
Answer: 1,940
250 x 8 = 2,000 parts, and 97% of 2,000 is 1,940 good parts.
A 20-tooth driver gear turning at 900 RPM meshes with a 60-tooth driven gear. What is the speed of the driven gear?
Answer: 300 RPM
Driven RPM = 900 x 20 / 60 = 300 RPM.
An oven is set to 350°F. About what is this temperature in degrees Celsius?
Answer: 177°C
°C = (350 − 32) x 5/9 ≈ 176.7, or about 177°C.
A turned part tapers from 2.000 in. to 1.500 in. in diameter over a length of 4 inches. What is the taper per inch?
Answer: 0.125 in.
The diameter changes by 0.500 in. over 4 in., so 0.500 / 4 = 0.125 in. per inch.
A motor runs on 240 volts and draws 20 amps. How much power does it use?
Answer: 4,800 watts
Power P = V x I = 240 x 20 = 4,800 watts.
A rectangular coolant tank measures 6 ft x 4 ft x 3 ft. About how many gallons does it hold? (1 cu ft ≈ 7.48 gal)
Answer: 539 gallons
Volume = 6 x 4 x 3 = 72 cu ft, and 72 x 7.48 ≈ 539 gallons.
Six bolt holes are spaced equally around a bolt circle. What is the angle between the centers of adjacent holes?
Answer: 60°
A full circle is 360°, and 360 / 6 = 60°.
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