Dimensional Analysis Worksheet

1-25

1. How many inches are there in a football field?

1. How many inches are there in a football field?

(100 yds) () () = 3600 inches

2. How many feet are there in a mile?

2. How many feet are there in a mile?

5280 feet = 1 mile

3. How many yards are there in a mile?

3. How many yards are there in a mile?

mile = 5280 feet () = 1760 yards

4. How many yards are there in a soccer field?

4. How many yards are there in a soccer field?

(100 m) () () () ()

= 109.36 yards

5. Ho many paces make up a football field?

5. How many paces make up a football field?

() () () () = 163.6 paces

6. How many feet are between the first and second floor of a building?

6. How many feet are between the first and second floor of a building?

() () () () () = 9.84 ft

7. How many seconds are in a year?

7. How many seconds are in a year?

() () () () ()

= 3.15 x 107 sec

8. A housefly’s lifespan is 3 days. How many minutes is this?

8. A housefly’s lifespan is 3 days. How many minutes is this?

() () () = 4320 min

9. If a person blinks their eyes once every 3 minutes, how many times

will they blink in 1 day?

9. If a person blinks their eyes once every 3 minutes, how many times

will they blink in a day?

() () ()= 480 blinks

10. How many grams in a pound?

10. How many grams in a pound?

(() ()= 453 grams

11. A 1974 car weighs 4000 lbs. How many quarter pound patties is this? If a Quarter Pounder cost 0.65 in 1974 and the car costs $6000, which is cheaper?

11. A 1974 car weighs 4000 lbs. How many quarter pound patties is this? If a Quarter Pounder cost 0.65 in 1974 and the car costs $6000, which is cheaper?

() ()

= 16,000 quarter pound patties

() () () = $10,400

12. What is the speed of a car in feet/second that is traveling at 60

mph?

12. What is the speed of a car in feet/second that is traveling at 60

mph?

() () () = 88.0 ft/sec

13. The space shuttle travels at 28,000 mph while orbiting Earth. How far does it travel in the blink of an eye?

13. The space shuttle travels at 28,000 mph while orbiting Earth. How far does it travel in the blink of an eye?

() () () = 0.77 miles/blink

14. A stack of 10 3.5 inch diskettes is 34 mm high. How many diskettes does it take to make a stack 100 yards high?

14. A stack of 10 3.5 inch diskettes is 34 mm high. How many diskettes does it take to make a stack 100 yards high?

() = ()

() () () () ()()

= 26,894 diskettes

15. A physics book is 1.5 inches thick; how many books would it take to make

a stack 2 stories high?

15. A physics book is 1.5 inches thick; how many books would it take to make

a stack 2 stories high?

() () () () ()

= 157 books

16. If you earned a penny every 10 seconds of your life, how much would you have after 65 years?

16. If you earned a penny every 10 seconds of your life, how much would you have after 65 years?

() () () () ()

= $2,049,840

17. A container holds 16 ounces; what is the volume of the container

in cubic inches?

17. A container holds 16 ounces; what is the volume of the container

in cubic inches?

() () () () ()

= 28.9 in3

Volume = pir2h

18. A car traveling at 88 ft/sec. What is the speed in mph?

18. A car traveling at 88 ft/sec. What is the speed in mph?

() () () () = 60 mph

19. What would 25 mph be in m/s?

19. What would 25 mph be in m/s?

() () () () () ()

= 11.18 m/s

20. When the space shuttle is at max orbit radius it is traveling 28,000 mph.

How many miles/sec is this?

20. When the space shuttle is at max orbit radius it is traveling 28,000 mph.

How many miles/sec is this?

() () = 7.78 mi/s

21. A pool holds 20,000 gallons of water. A pond holds 2,000,000 cm3 water. A well holds 12,000 liters. Which holds the most?

21. A pool holds 20,000 gallons of water. A pond holds 2,000,000 cm3 water. A well holds 12,000 liters.

Which holds the most?

() () () = 79,073 L

() () () = 2000 L

22. 2 L of Pepsi costs 0.99. A gallon of milk costs 1.89. 12-ounce of

Founder’s Choice costs 0.20. Which is cheapest?

22. 2 L of Pepsi costs 0.99. A gallon of milk costs 1.89. 12-ounce of

Founder’s Choice costs 0.20. Which is cheapest?

() () = 0.029 oz PEPSI

() () = 0.014 oz MILK

() = 0.017 oz FOUNDER’S CHOICE

23. A fingerprint is about 1.25 in2. How many cm2 is this?

23. A fingerprint is about 1.25 in2. How many cm2 is this?

() () = 8.06 cm2

24. The US covers about 16,000,000 miles2. How many walking paces is

this?

24. The US covers about 16,000,000 miles2. How many walking paces is

this?

() () () ()

= 1.327 x 1014 paces2