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Chapter One: Measurement. 1.2 Time and Distance 1.3 Converting Measurements. 1.2 Time and Distance. Two ways to think about time: What time is it? How much time? A quantity of time is also called a time interval. What is your reaction time? Sit at a table and rest your arm on the
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Chapter One: Measurement • 1.2 Time and Distance • 1.3 Converting Measurements
1.2 Time and Distance • Two ways to think about time: • What time is it? • How much time? • A quantity of time is also called a time interval.
What is your reaction time? Sit at a table and rest your arm on the table, with your hand hanging off the edge. Have a friend dangle a metric ruler just above your thumb and index finger. When your friend drops the ruler, catch it quickly between your thumb and finger. Record the centimeter mark where you caught the ruler. Do several trials and discuss.
Approximate reaction times are: 0.10 seconds for 5 cm 0.14 s for 10 cm 0.18 s for 15 cm 0.20 s for 20 cm, 0.23 s for 25 cm 0.25 s for 30 cm.
1.2 Time • Time comes in mixed units. • Seconds are very short. • For calculations, you may need to convert hours and minutes into seconds. How many seconds is this time interval?
How many total seconds does This time interval represent? There are 60 seconds in a minute, so multiply 30 minutes by 60 to get 1,800 seconds. There are 3,600 seconds in an hour, so multiply 2 hours by 3,600 to get 7,200 seconds. Add up all the seconds to get your answer: 45 + 1,800 + 7,200 = 9,045 seconds.
1.2 Distance • Distance is the amount of space between two points or how far apart 2 objects are. • Distance is measured in units of length. • The meter is a basic SI distance unit. In 1791, a meter was defined as one ten-millionth of the distance from the North Pole to the equator. Today, a meter is defined more accurately as the distance that light travels in a fraction of a second.
1.2 Metric prefixes • Prefixes are added to the names of basic SI units such as meter, liter and gram. • Prefixes describe very small or large measurements. X 1000 1/100 1/1000
1.3 Converting units • To convert 1,565 pennies to the dollar amount, you divide 1,565 by 100 (since there are 100 pennies in a dollar). • Converting SI units is just as easy as converting pennies to dollars.
Solving Problems • Convert 655 mm to m • Looking for: • …the distance in meters • Given: • …distance = 655 millimeters • Relationships: • Ex. There are 1000 millimeters in 1 meter • Solution: 655 mm = .655 meters
Solving Problems Convert 142 km to m • Looking for: • …the distance in meters • Given: • …distance = 142 kilometers • Relationships: • Ex. There are ? meters in 1 kilometer? • Solution: • Use the conversion tool.
Solving Problems Convert 754,000 cm to km • Looking for: • …the distance in kilometers • Given: • …distance = 754,000 centimeters • Relationships: • Ex. There are ? cm in 1 m? • There are ? m in 1 km? • Solution: • Use the conversion tool.