DIMENSIONAL ANALYSIS PROBLEMS
Common Conversions Factors
1 hr = 60 min
1 min = 60 sec
1 ton = 2000 lbs
7 days = 1 week
24 hrs = 1 day
1 kg = 2.2 lbs
1 gal = 3.79 L
264.2 gal = 1 cubic meter
1 mi = 5,280 ft
1 kg = 1000 g
1 lb = 16 oz
20 drops = 1 mL
365 days = 1 yr
52 weeks = 1 yr
2.54 cm = 1 in
1 L = 1000 mL
1 lifetime = 79 years
1 Newton=0.22 lbs
0.621 mi = 1.00 km 1 yd = 36 inches
DIRECTIONS: Solve each problem using dimensional analysis. Every number must have a unit. Work must
be shown. Conversion factors are given
1. Convert 50 newtons into pounds.
2. Convert 5 weeks to seconds.
3. Convert 5500 inches to miles.
4. Average human life expectancy is 28,835 days.
a. Convert this into years.
b. Convert this into seconds.
5. An average person will spend approximately 5 hours per day on their phones. This calculates to 144,175
hours over a lifetime.
a. Covert this into years
b. Convert this into a lifetime.
6. We spend an average of 8 hours per day sleeping which calculates to 230,680 hours spent asleep over a
lifetime.
a. Convert this into years.
b. Convert this into a lifetime.
7. We are revolving around the sun at 30 km per second. Convert this into miles per hour.
8. Our location (Tinley Park) on the Earth rotates at nearly 775 miles per hour. Convert this into feet per
second.
9. The answer for # 8 represents a velocity. Drop a tennis ball off of the football field bleachers and time
how long it falls for.
a. Determine how far (in feet) the football field moved while your egg was falling. Use the
equation v = . Your egg fell for approximately 1.5 seconds.