Experiment 1-Z Units of Measurement



Experiment 1: Converting Units of Measurement

and Other Calculations

Purpose

This laboratory will give you practice (1) converting between physical units and

(2) calculating averages and average deviations.

Procedure Part I

Express the quantities quoted below in all the units shown in the table. Observe the following rules in the conversion:

(1) Round off to 3 significant digits.

(2) Express quantities in scientific notation.

(See General Physics Laboratory Information for more information on significant digits and scientific notation.)

The following is a list of the conversion factors you will need for these exercises. The letters inside the parentheses are the usual abbreviations for these units.

Units of Length

1 meter (m) = 100 centimeters (cm) = 10-3 kilometers (km)

1 foot (ft) = 12 inches (in) = 30.48 centimeters (cm)

1 mile = 5,280 feet (ft) = 1,609 meters (m)

Units of Time

1 hour = 60 minutes = 3,600 seconds = 1/24 day

1 year = 365 days

Units of Volume

1 liter (l) = 1000 cubic centimeters (cm3)

Watch your units when converting. Make sure the units cancel as needed. For example,

convert 3.31 feet to meters.

33.1 feet x 30.48 cm x 1 m = 10.08888 m. ( 10.1 m = 1.01 x 101 m.

foot 100 cm

Round off to 3 significant digits (since 3.31 has only three significant digits) to 10.1 meters and express this in scientific notation as 1.01 x 101 m.

Do one row of conversions as indicated by your instructor. Show your calculations on another sheet of paper. Write the result in the table.

LENGTH

| Cm | m | km | inches | feet | miles |

| 58.9 | | | | | |

| | 8.5 | | | | |

TIME

| sec | min | hrs | days | years |

| 5.32 x 104 | | | | |

| | 25.5 | | | |

SPEED

| mi/hr | km/hr | m/sec | ft/sec |

| 65.0 | | | |

| | 330 | | |

VOLUME

| cm3 | m3 | in3 | ft3 | liters |

| 1.72 x 104 | | | | |

| | 1.72 x 104 | | | |

Procedure Part II

Given the value of g = 980.2 cm/sec2, calculate the velocity v = [pic]in cm/sec when h is given in feet. Show one sample calculation. Remember to write all units in all your calculations.

| h (feet) | v (cm/sec) |

| 1.0 | |

| 5.2 | |

Procedure Part III

Given the value of tan Θ, use the tan-1 function on your calculator to find the angle Θ in both degrees and radians:

| tan Θ | Θ (degrees) | Θ (radians) |

| -1.0 | | |

| 0.0 | | |

| 25.2 | | |

Procedure Part IV

The following are measurements of physical quantities. Find the average of these quantities and their deviations.

| m (grams) | deviation |

| 444 | |

| 422 | |

| 417 | |

| 439 | |

| 447 | |

| 439 | |

|Averages | | |

Calculate the average percent deviation and the maximum percent deviation. Show your calculations.

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