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Mathematical Applications For The Physics Classroom

Mathematical Applications For The Physics Classroom. Algebra and Trigonometry. Algebra – Solving Expressions. PEMDAS – Order of operations to solve for an expression. Parenthesis Exponents Multiplication Division Addition subtraction. Solving For Equations.

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Mathematical Applications For The Physics Classroom

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  1. Mathematical Applications For The Physics Classroom Algebra and Trigonometry

  2. Algebra – Solving Expressions • PEMDAS – Order of operations to solve for an expression. • Parenthesis • Exponents • Multiplication • Division • Addition • subtraction

  3. Solving For Equations • When solving for a variable inside of an equation, the order of operations is reversed. • Example: 2(x+3)2 = 2 (x+3)2 = 1 √[(x+3)2 ] = √(1) x+3 = √(1) x = √(1) – 3 x = -2

  4. Trigonometry • SohCah Toa • Sin θ= opp/hyp • Cos θ = adj/hyp • Tan θ = opp/adj • Only works for right triangles Hypotenuse Opposite θ Adjacent θ Hypotenuse Adjacent Opposite

  5. Law of Sines and Cosines • Law of Sines Sin A = Sin B = Sin C ab c • Law of Cosines c2 = a2 + b2 – 2ab (cos C) • These Laws are used on triangles that are not right triangles.

  6. Example Problems • Solve for a Vf2 = Vi2 +2ad • Solve for x • Solve for c 6 m x θ = 30° c 3 m θ = 100° 7 m

  7. Example Problems • Solve for a • Solve for y 9 m 35° 100° a y 3.5 m 4 m

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