Workshop Calculations Semester 2 January 2018

Workshop Calculation & Science - Semester II (Jan 2018)

1. Cot θ =
   a) 1/sinθ
   b) 1/tanθ ✔
   c) 1/cosθ
   d) 1/cosecθ
2. Insulation resistant to heat, oil and water:
   a) Rubber
   b) Neoprene ✔
   c) PVC
   d) Plastic
3. Which is a polynomial?
   a) 8x ✔
   b) 3x + 8
   c) 2x² + 8x + 4 ✔
   d) 16x² + 7x² + 4x + 5 ✔
4. 220 V across 1 kΩ resistor → power:
   a) 48.1 W
   b) 48.2 W ✔
   c) 48.3 W
   d) 48.4 W
5. Heat required to raise 1 g by 1°C:
   a) Latent heat
   b) Specific heat ✔
   c) Melting point
   d) Boiling point
6. Hexagonal prism (L=30 cm, V=6378 cc) → side:
   a) 6.045 cm
   b) 7.046 cm ✔
   c) 8.046 cm
   d) 9.046 cm
7. Area of sector formula:
   a) 2πr² × θ/360
   b) πr² × θ/360 ✔
   c) (πr²/2) × θ/360
   d) (πr²/4) × θ/360
8. 250 W / 5A → voltage:
   a) 50 V ✔
   b) 100 V
   c) 150 V
   d) 250 V
9. Area = 625 cm² → side:
   a) 45
   b) 35
   c) 25 ✔
   d) 15
10. SI unit of heat:
    a) Celsius
    b) Calorie
    c) Joule ✔
    d) Fahrenheit
11. Effort 25 kg, VR=4, efficiency 15% → MA:
    a) 1
    b) 2
    c) 3 ✔
    d) 4
12. Rod 86 cm → rectangle (L = B + 7):
    a) 14, 21 ✔
    b) 12, 19
    c) 16, 23
    d) 18, 25
13. Unit of velocity ratio:
    a) Kg/m²
    b) kg-m
    c) N-m
    d) No unit ✔
14. 1 radian =
    a) 57.3° ✔
    b) 90°
    c) 45°
    d) 60°
15. 40°C in °F:
    a) 40°F
    b) 72°F
    c) 100°F
    d) 104°F ✔
16. Lever shown → type:
    a) 1st order
    b) 2nd order ✔
    c) 3rd order
    d) 4th order
17. Efficiency =
    a) MA / VR ✔
    b) VR / MA
    c) Effort / VR
    d) None
18. Mechanical advantage =
    a) Effort / Load
    b) Distance by effort / distance by load
    c) Load / Effort ✔
    d) Distance load / distance effort
19. Sin(A+B) =
    a) SinA CosA + SinB CosB
    b) SinA CosB + CosA SinB ✔
    c) CosA SinB + SinA CosB
    d) CosA CosB + SinA SinB
20. Three 20Ω in parallel → equivalent:
    a) 10Ω
    b) 30Ω
    c) 60Ω
    d) 10/3 Ω ✔
21. Two sides equal → triangle:
    a) Right angle
    b) Isosceles ✔
    c) Equilateral
    d) Scalene
22. (a+b+c)² =
    a) a²+b²+c²+2(ab+bc+ca) ✔
    b) a²+b²+c²
    c) a²+b²+c²+2ab
    d) a+b+c
23. Shaded portion in circle:
    a) Sector
    b) Chord
    c) Arc
    d) Segment ✔
24. Tan 30° =
    a) √3
    b) 1/√3 ✔
    c) 3
    d) 2/√3
25. If c² = a² + b² → a =
    a) c + b
    b) √c − b
    c) √(c² − b²) ✔
    d) c² − b²