CMS Dimensional Analysis & Metric Calculations 1 — Questions and Answers
Question 1: Dimensional analysis is primarily used to:
- Estimate measurement uncertainty
- Verify unit consistency and convert between units (Correct answer)
- Calibrate measuring instruments
- Define SI base units
Correct answer: Verify unit consistency and convert between units
Dimensional analysis checks that equations are dimensionally consistent and converts quantities from one unit system to another.
Question 2: How many millimetres are in 2.5 metres?
- 25
- 250
- 2,500 (Correct answer)
- 25,000
Correct answer: 2,500
One metre equals 1,000 mm, so 2.5 m × 1,000 mm/m = 2,500 mm.
Question 3: Convert 5 kilometres to centimetres:
- 50,000 cm
- 500,000 cm (Correct answer)
- 5,000 cm
- 5,000,000 cm
Correct answer: 500,000 cm
5 km × 1,000 m/km × 100 cm/m = 500,000 cm.
Question 4: A container holds 3,500 mL. How many litres is that?
- 35 L
- 3.5 L (Correct answer)
- 0.35 L
- 350 L
Correct answer: 3.5 L
3,500 mL ÷ 1,000 mL/L = 3.5 L.
Question 5: A force of 500 N acts over an area of 0.25 m². What is the pressure in pascals?
- 125 Pa
- 1,250 Pa
- 2,000 Pa (Correct answer)
- 500 Pa
Correct answer: 2,000 Pa
Pressure = Force ÷ Area = 500 N ÷ 0.25 m² = 2,000 Pa.
Question 6: An object travels 120 km in 1.5 hours. What is its average speed in km/h?
- 60 km/h
- 80 km/h (Correct answer)
- 90 km/h
- 100 km/h
Correct answer: 80 km/h
Speed = distance ÷ time = 120 km ÷ 1.5 h = 80 km/h.
CMS Dimensional Analysis & Metric Calculations 1
Dimensional analysis is primarily used to: