Question

Complete the following conversions using dimensional analysis

1. 320 pennies to number of nickels

2. 320 nickels to number of American dollars

3. 750cm to feet

4. 750cm to miles

5. 316nm to yards

6. 12 meters/seconds to miles/hour

7. $9.50/hour to pennies/day

8. 3.5 millimeters/min to liters/hour

9. 35 centimeters/day to meters/second

10. 35 meters/seconds to miles/year

Please explain every step to help me better understand. Also, please, type out your responses so I can legibly read. Thank you so much.

Answer 1

1) By the general calculation

1 pennies is equal to 0.2 nickels

320 pennies = 64 nickels

2) 1 nickels = 0.05 dollars

320 nickels = 16 dollars

3) 1 cm = 0.03280839895 ft

750 cm = 24.606299213 ft

4) 1 centimetre = 6.214*10^-6 miles

750 cm = 0.0046605 miles

5) 1 millimetre = 0.00109361 yard

316 nm = 0.345582 yard

6) 1 meter/second = 2.23694 miles/hour

12 meter/second = 26.8432 miles/ hour

8) 1 millimetrs per minute = 0.060 liters per hour

3.5 millimetres / min = 0.21 liters/ hour

9) 1 centimetres/day = 1.157*10^-7 meters/second

35 centimetres/day = 4.0509*10^-6 meters/second

10) 1 meter per second = 19595.562 miles per year

35 meters/ seconds = 685845 miles/ year