University:
College Entrance Preparation
Course:
ACT Preparation (Science)
Academic year:

2021
Views:

122

Pages:

2
Author:

Adowj7b

Dimensional Analysis Practice Worksheet There are 10 practice problems in this worksheet. Each problem involves changing a quantity (the given quantity) from one type of unit to another in a step by step manner. All 10 problems indicate how many conversion factors you will need to use in order to get to the final answer. Problems one through five indicate the units involved in each step. For problems six through ten you will have to determine the units involved in each step yourself. 1) Convert 56 mg to grams 56 mg x 1 g / 1000 mg = 0.056 g or 5.6 x 10^-2 g 2) Convert 240 km to m 240 km x 1000 m / 1 km = 240000 m or 2.4 x 10^5 m 3) Convert 2 in to m (1 in = 2.54 cm) 2 in x 2.54 cm / 1 in x 1 m / 100 cm = 0.0508 m or 0.05 m or 5 x 10^-2 m 4) Convert 500 ft to m (1 m = 3.28 ft) 500 ft x 1 m / 3.28 ft = 152 m or 200 m 5) Convert 3 weeks to minutes 3 weeks x 7 days / 1 week x 24 hours / 1 day x 60 min / 1 hour = 30240 min or 30000 min or 3 x 10^4 min 6) Convert 50 kg to g 50 kg x 1000 g / 1 kg = 50000 g or 5 x 10^4 g 7) Convert 8500 mm to km 8500 mm x 1 m / 1000 mm x 1 km / 1000 m = 0.0085 km or 8.5 x 10^-3 km 8) Convert 50 mL to cups (1 L = 4.226 cups) 50 mL x 1 L / 1000 mL x 4.226 cups / 1 L = 0.2113 cups or 0.2 cups 9) Convert 3 yards to inches 3 yd x 3 ft / 1 yd x 12 in / 1 ft = 108 in or 100 in 10) 124 miles to cm (1 mi = 5280 ft) 124 miles x 5280 ft / 1 mi x 12 in / 1 ft x 2.54 cm / 1 in = 1.995 x 10^7 cm or 2.00 x 10^7 cm You need to know the metric conversions for milli-, centi-, and kilo-. Some other conversions that might be helpful: 1 mi = 5280 ft; 1 kg = 0.0685 slug; 1 L = 4.226 cups; 1 in = 2.54 cm; 1 m = 3.28 ft. YOU MUST SET UP PROBLEMS LIKE PREVIOUS PAGE. 1) Convert 56,000 kg to g. 56000 kg * 1000 g/1 kg = 56000000 g or 5.6 x 10^7 g 2) Convert 543,785,000 mm to m. 543785000 mm * 1 m/1000 mm = 543785 m or 5.43785 x 10^5 m 3) Convert 0.0085 kl to L. 0.0085 kl * 1000 L/1 kl = 8.5 L 4) Convert 5 miles to inches. 5 mi * 5280 ft/1 mi * 12 in/1 ft = 316800 in = 3 x 10^5 in 5) Convert 3,898 cups to mL. 3898 cups * 1 L/4.226 cups * 1000 mL/1 L = 922385 mL = 922400 mL 6) Convert 786 cm to yards. 786 cm * 1 in/2.54 cm * 1 ft/12 in * 1 yd/3 ft = 8.59 yd