1. IOT POLY ENGINEERING 3-9 DRILL January __, 2009 Complete #4 on the Trigonometry worksheet. Measure lengths to the nearest 1/16”.

2. IOT POLY ENGINEERING 3-9 1.Energy Sources – Fuels and Power Plants 2.Trigonometry and Vectors 3.Classical Mechanics: Force, Work, Energy, and Power 4.Impacts of Current Generation and Use U NIT 3 – E NERGY AND P OWER Topics Covered

3. IOT POLY ENGINEERING 3-9 HOMEWORK sin A = acac cos A = bcbc tan A = abab 45 o 30 o 45 o 30 o 1 2 3 2 √2 √3 √2 3 4

4. IOT POLY ENGINEERING 3-9 HOMEWORK

5. IOT POLY ENGINEERING 3-9 DRILL Complete #4 on the Trigonometry worksheet. tan A = opposite adjacent sin A = opposite hypotenuse cos A = adjacent hypotenuse sin = 3/16 tan = ~3/16 sin = 5/16 tan = 1/3 sin = 1/2 tan = 4/7 sin = 5/8 tan = 5/6 sin = 11/16 tan = 1 sin = 3/4 tan = 1 1/5 sin = 7/8 tan = 1 3/4 sin = 1/8 tan = ~1/8

6. 1.Sketch (sketches go on right side) 2.Write formula (and alter if necessary) 3.Substitute and solve (box answers) 4.Check your solution (make sense?) Trigonometry and Vectors Algebra Using Trig Functions 5 2 a sin a = yryr 2525 x We will now go over methods for solving #5 and #6 on Trigonometry Worksheet

7. IOT POLY ENGINEERING 3-9

8. Multiply both sides by r r y a cos a = xrxr r (cos a) = x 10 Divide both sides by cos a r = x cos a Substitute and Solve = 10 2/5 = (10) 5252 r = 25 25 Use to solve for y 1.Sketch (sketches go on right side) 2.Write formula (and alter if necessary) 3.Substitute and solve (box answers) 4.Check your solution (make sense?) Algebra Using Trig Functions Trigonometry and Vectors

10. HOMEWORK 1.Complete problems 4-6 on the Trig. Worksheet [2. Will be covered shortly]

11. IOT POLY ENGINEERING 3-9 Trigonometry and Vectors 1.Scalar Quantities – a quantity that involves magnitude only; direction is not important Tiger Woods – 6’1” Shaquille O’Neill – 7’0” 2.Vector Quantities – a quantity that involves both magnitude and direction Vectors How hard to impact the cue ball is only part of the game – you need to know direction too Weight is a vector quantity

12. IOT POLY ENGINEERING 3-9 Trigonometry and Vectors 1.5 miles northeast 2.6 yards 3.1000 lbs force Scalar or Vector? Vector Magnitude and Direction Scalar Magnitude only Scalar Magnitude only 4.400 mph due north 5.$100 6.10 lbs weight Vector Magnitude and Direction Scalar Magnitude only Vector Magnitude and Direction

13. IOT POLY ENGINEERING 3-9 Trigonometry and Vectors 3.Free-body Diagram A diagram that shows all external forces acting on an object. Vectors friction force force of gravity (weight) applied force normal force WtWt F N FfFf

14. IOT POLY ENGINEERING 3-9 Trigonometry and Vectors 4.Describing vectors – We MUST represent both magnitude and direction. Describe the force applied to the wagon by the skeleton: Vectors 45 o 40 lbs magnitude direction F = 40 lbs 45 o Hat signifies vector quantity

15. IOT POLY ENGINEERING 3-9 Trigonometry and Vectors 2 ways of describing vectors… Vectors 45 o 40 lbs F = 40 lbs 45 o F = 40 lbs @ 45 o Students must use this form

16. IOT POLY ENGINEERING 3-9 Trigonometry and Vectors Describe the force needed to shoot the cue ball into each pocket: Draw a line from center of cue ball to center of pocket. Measure the length of line: 1” = 1 lb force. Measure the required angle from the given initial side. Describing Vectors 3 2 1 4 6 5 INITIAL SIDE X” = Y lbs. ZoZo F = 3 13/16 lbs. < 14 o Answer to #1

17. Trigonometry and Vectors CLASSWORK / HOMEWORK 1.Complete problems 4-6 on the Trig. Worksheet 2. Complete problems 1-2 on the Vector Worksheet