Unit 21 Formula Presentation 1 Using Formula Presentation
- Slides: 17
Unit 21 Formula Presentation 1 Using Formula Presentation 2 Constructing Formulae Presentation 3 Negative Numbers Presentation 4 Temperature Differences Presentation 5 Substitutions into Formulae Presentation 6 More Complex Formulae Presentation 7 Changing the Subject Presentation 8 Pendulums
Unit 21 Formula 21. 1 Using Formula
4 cm w 8 l cm The perimeter length, P, and area, A, of a rectangle Question Solution are given by the formulae ? (b) are? the? perimeter What and ? length and area if (a) ? ? ? where l is? the length and w the width of the rectangle. ?
Unit 21 Formula 21. 2 Constructing Formula
When repairing air conditioning systems, an emergency engineer charges a basic fee of J$3000 plus J$1200 per hour. Question What Find adoes formula the for engineer calculating charge theinengineer's total if the charge repair for takes repair 6 work hours? which takes n hours. Solution ? ? Let C = J$3000 Charge + J$1200 × 6 So C = J$3000 fixed? charge + J$7200 + ? hourly charge × no. of hours ? ? ? + J$1200 C = J$10200 J$3000 × n? ? C = J$3000 + J$1200 n
Unit 21 Formula 21. 3 Negative Numbers
Unit 21 Formula 21. 4 Temperature Differences
What is the difference Use information given in ontemperature the above tobetween answer these questions. Kingston and Singapore Kingston and Vancouver London and Sydney Oslo and Kingston 4? ? 29 ? 26 ? 30 Kingston and London and New York Lima and Kingston Moscow and Kingston ? 25 3? 0? ? 34
Unit 21 Formula 21. 5 Substitution in Formula
l = (40 + 0. 02 T) cm The length of a metal rod changes with temperature according Question to formula is when the temperature in ˚C What is theabove; lengthwhere of the T rod (a) T = 50˚C (b) T = − 10˚C Solution (b) (a) ? ? cm l = (40 + 0. 02 x 50) − 10) cm = (40 + ? − 0. 2) 1)? cm cm = 39. 8 cm ? ? 41 cm
Unit 21 Formula 21. 6 More Complex Formula
The formula gives the focal length f for a lens Question What is the value of f, if u = 10 cm and v = 8 cm Solution Hence ? ? ?
Unit 21 Formula 21. 7 Changing the Subject
The formula that connects ˚Celsius (C) and ˚Fahrenheit (F) is Question Rewrite the formula in the form C =. . . Solution Take 32 from both sides of the formula So ? Multiply by 5 throughout Divide by 9 throughout ? ?
Unit 21 Formula 21. 8 Pendulums
The period of revolution, T, of a pendulum of length l is given by the formula when G is a constant. Solution Problem Divide sides by give Make lboth the subject of this to equation. ? Square both sides Multiply both sides by G to give ? ? ?
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