Physics 1110                Sample Problems on Unit Conversion

 

Given: 1.00 in = 2.54 cm                      12.0 in = 1.00 ft                       1000 m = 1.00 km

            100 cm = 1.00 m                      5280 ft =1.00 mile                    1.00 mile = 1.60 km

            10 mm = 1.00 cm                     60.0 sec = 1.00 min                  60.0 min = 1.00 H

 

1.                    Convert 10.0 miles to kilometers.

2.                    Convert 1.000 foot to centimeters.

3.                    Convert 10.0 feet to millimeters.

4.                    Convert 100.0 km/H to mi/H.

5.                    Convert 50.0 inches/sec to mi/H.

6.                    Convert 88 ft/sec to mi/H.

 

Other problems on Scientific Notation

7.                    Express 53200 g in scientific notation.

8.                    Express 599245 miles in scientific notation

9.                    Express 0.0053 inches in scientific notation

10.                Express 0.00001 meters in scientific notation

 

 

SOLUTION:  You must have tried the above problems on your own first before looking at the solutions.

 

1.                  10.0 miles = (10.0miles/1)(1.60 km/1.00 mile) = 16 km

2.                  1.000 foot = (1.000foot/1)(12.0in/1.00foot)(2.54cm/1.00in) = 30.5 cm

3.                  10.00 feet = (10.00ft/1)(12.0in/1.00ft)(2.54cm/1.00in)(10.0mm/1.00cm) = (10)(12)(2.54)(10) mm = 3050 mm

4.                  100.0 km/H = (100km/H)(1.00mi/1.60km) = 62.5 mi/H

5.                  50.0 in/sec = (50in/sec)(1.00ft/12.0in)(1.00mi/5280ft)(60sec/1.00min)(60.0min/1.00H) =  2.84 miles/H

6.                  88 ft/sec = (88 ft/sec)(1.00mile/5280 ft)(60.0 sec/1.00 min)(60.0min/1.00H) = 60 mi/H

7.                  5.32 x 104 grams

8.                  5.99245 x 105 mi

9.                  5.3 x 10-3 in

10.              10-5 m   or   1 x 10-5 m