Conversion Factors and Unit Cancellation - Sayre School

Conversion Factors and Unit Cancellation - Sayre School

Conversion Factors and Unit Cancellation A physical quantity must include: Number + Unit Calculation Corner: Unit Conversion 1 foot = 12 inches Calculation Corner: Unit Conversion 1 foot = 12 inches 1 foot 12 inches

= 1 Calculation Corner: Unit Conversion 1 foot = 12 inches 1 foot 12 inches 12 inches 1 foot = 1 = 1

Calculation Corner: Unit Conversion 1 foot 12 inches 12 inches 1 foot Conversion factors Calculation Corner: Unit Conversion 1 foot 12 inches 12 inches 1 foot

Conversion factors ( 3 feet )( 12 inches 1 foot ) = 36 inches How many cm are in 1.32 meters? equality: 1 m = 100 cm (or 0.01 m = 1 cm)

applicable conversion factors: ______ 1m 100 cm or ( 100 cm ______ 1m ) 100 cm = 132 cm X cm = 1.32 m ______ 1m We use the idea of unit cancellation to decide upon which one of the two

conversion factors we choose. How many meters is 8.72 cm? equality: 1 m = 100 cm applicable conversion factors: ______ 1m 100 cm or ( 100 cm ______ 1m ) 1m

X m = 8.72 cm ______ = 0.0872 m 100 cm Again, the units must cancel. How many feet is 39.37 inches? equality: 1 ft = 12 in applicable conversion factors: ______ 1 ft 12 in or ( ) 1 ft X ft = 39.37 in ____ 12 in

______ 12 in 1 ft = 3.28 ft Again, the units must cancel. How many kilometers is 15,000 decimeters? ( )( 1m X km = 15,000 dm ____ 10 dm ) 1 km ______

= 1.5 km 1,000 m How many seconds is 4.38 days? ( )( 24 h X s = 4.38 d ____ 1d )( ) 60 min _____ 1h 60 s

____ 1 min = 378,432 s If we are accounting for significant figures, we would change this to 3.78 x 105 s Simple Math with Conversion Factors Example Problem Measured dimensions of a rectangle: length (L) = 9.70 cm width (W) = 4.25 cm Find area of rectangle. A=L.W

L = (9.70 cm)(4.25 cm) = 41.2 cm2. cm W Convert 41.2 cm2 to m2. ( ) 1m X m2 = 41.2 cm2 ______ = 0.412 m2 WRONG! 100 cm = 0.412 cm.m Recall that

41.2 cm2 = 41.2 cm.cm X m2 = 41.2 cm.cm ( )( 1m ______ 100 cm ) 1m ______ 100 cm = 0.00412 m2

( ) 1m X m2 = 41.2 cm2 ______ 100 cm 2 = 0.00412 m2 Convert 41.2 cm2 to mm2. Recall that 41.2 cm2 = 41.2 cm.cm

( X mm2 = 41.2 cm.cm 10 mm _____ 1 cm )( 10 mm _____ 1 cm ) = 4,120 mm2 X mm = 41.2 cm 2

2 ( 10 mm _____ 1 cm ) 2 = 4,120 mm2 Measured dimensions of a rectangular solid: Length = 15.2 cm Width = 3.7 cm

Height = 8.6 cm Find volume of solid. H L V=L.W.H = (15.2 cm)(3.7 cm)(8.6 cm) = 480 cm3 W Convert to m3. cm.cm.cm ( )( (

) 1m X m3 = 480 cm32 _____ 100 cm 1m _____ )( 100 cm ) 1m _____ = 100 cm

or X m = 480 cm 3 3 1m _____ 100 cm 3 = 0.000480 m3 or

X m = 480 cm 3 3 ( 3 ) 1m _________ 4.80 x 10-4 m3 = 3 1000000 cm Convert to m3...

Measured dimensions of a rectangular solid: Length = 15.2 cm 0.152 m Width = 3.7 cm 0.037 m Height = 8.6 cm 0.086 m H Find volume of solid. L V=L.W.H = (0.152 m)(0.037 m)(0.086 m) = 0.000480 m3 W Convert to mm3. By what factor do mm and cm differ? 10 1 cm = 10 mm

By what factor do mm2 and cm2 differ? 100 1 cm (1 cm)22==100 (10 mm mm)2 2 By what factor do mm3 and cm3 differ? 1,000 1 cm mm33 (1 cm)3 3==1000 (10 mm)

Recently Viewed Presentations

  • 9 Innovations to Improve Emergency Department Financial ...

    9 Innovations to Improve Emergency Department Financial ...

    ED = about 4% of U.S. healthcare spending. Inpatient care = about 31% of U.S. healthcare spending. Federal law requires EDs to evaluate and stabilize all who present to the ED without regard for ability to pay, they serve as...
  • Community Ecology Feral cat populations can be damaging

    Community Ecology Feral cat populations can be damaging

    47.1 Concept of the Community. Community = assemblage of populations interacting with one another. ... Paine observed that if Pisaster ochracceus was removed from the community, the populations of two mussel species within the community grew unchecked. Without a predator...
  • Red2Green Why is this improvement work important? Patients

    Red2Green Why is this improvement work important? Patients

    Contact for information: Nicola Platts, Programme Manager, [email protected] Aims: The purpose of Red2Green tool is to make visible what a patient is waiting for on the journey through the hospital from the point of admission through to the point of...
  • Why did we choose these Direct Instruction programs?

    Why did we choose these Direct Instruction programs?

    Dr Kerry Hempenstall, RMIT University What determines professional practices? Superstition? Folklore? Craft? Science? Superstition Unsubstantiated world views derived from intuition or legend. Galileo first observed moons around Jupiter in 1610. His observations were derided.
  • Life After TAPE 2007Our Baldrige Journey to Excellence…..

    Life After TAPE 2007Our Baldrige Journey to Excellence…..

    The Best Baldrige Things "Every process is perfectly designed to get the results it gets" ADLI "Baldrige makes you look hard at your processes." LeTCI "I had never used benchmarking and doing so against Baldrigewinners gave us a great avenue...
  • Veterans Employment Toolkit Veterans in the Workplace Training

    Veterans Employment Toolkit Veterans in the Workplace Training

    Welcome to the Veterans in the Workplace Training Series on Promising Practices for Employer Support of National Guard and Reserve Members, sponsored by the Department of Veterans Affairs.
  • Java Classes - Boise State CS

    Java Classes - Boise State CS

    Processing a String. Immutable Strings. Imagine! Java: Programming Concepts in Context by Frank M. Carrano, (c) Pearson Education - Prentice Hall, 2010. ... char type 4.6. char. variable of char type can store a single character. char literal. surrounded with...
  • Hy-wire cars - 123seminarsonly.com

    Hy-wire cars - 123seminarsonly.com

    The Hy-wire (Hydrogen drive-by-wire) is a concept car from General Motors originally introduced in January 2002. The car runs on hydrogen fuel . cells. Uses a drive-by-wire system, meaning that the car is controlled electronically. No need of conventional engine.