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Practice Test — Engineering Math
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.