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Practice Test — Engineering Math
This practice test covers the essential mathematical tools used across engineering disciplines: Ohm’s law and Kirchhoff’s laws for DC circuit analysis, gear ratios and mechanical advantage calculations, statics problems involving force and moment equilibrium, and dimensional analysis for unit conversion and formula verification. Test your readiness for more specialized engineering coursework.
Practice Test — Engineering Math
Review circuits, gears, statics, and dimensional analysis.
Practice Test — 20 Questions
1. $V = IR$. Find $I$ if $V = 24$ V, $R = 80$ Ω.
2. Two 100 Ω resistors in parallel. $R_T$?
3. Power dissipated: $V = 12$ V, $I = 0.5$ A.
4. 3 resistors (10, 20, 30 Ω) in series. Total?
5. Gear ratio: driver 25T, driven 75T.
6. Input 900 RPM, GR = 3:1. Output?
7. Input torque 5 N·m, GR = 4:1. Output torque?
8. Lever: effort arm 4 m, load arm 0.5 m. MA?
9. Force needed to lift 400 N with MA = 8?
10. Moment of 25 N at 2 m from pivot?
11. 8 m beam, 1000 N at center. Each reaction?
12. Convert 90 km/h to m/s.
13. Is $P = Fv$ dimensionally correct? ($P$ in watts, $F$ in N, $v$ in m/s)
14. Convert 2.5 kW to watts.
15. $P = I^2 R$. Find $P$ if $I = 2$ A, $R = 50$ Ω.
16. Two forces: 100 N up, 60 N down. Net force?
17. KVL: 9V source, drops of 3 V and 2 V. Third drop?
18. Seesaw: 50 kg at 2 m. Where does 40 kg balance?
19. Overall GR: stage 1 = 2:1, stage 2 = 5:1?
20. What dimension does 1 N·m have? Is it energy or torque?
Show Answer Key
1. 0.3 A
2. 50 Ω
3. 6 W
4. 60 Ω
5. 3:1
6. 300 RPM
7. 20 N·m
8. 8
9. 50 N
10. 50 N·m
11. 500 N each
12. 25 m/s
13. N·m/s = kg·m²/s³ = W ✓
14. 2500 W
15. 200 W
16. 40 N up
17. 4 V
18. 2.5 m
19. 10:1
20. Both have the same dimensions (kg·m²/s²), but context determines meaning.