UNIT 1 MATHEMATICS FOR ENGINEERING LO1 UNDERSTAND THE

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OCR Level 3 Cambridge Technicals in Engineering, Lesson Element Unit 1: Mathematics for engineering

UNIT 1 MATHEMATICS FOR ENGINEERING  LO1 UNDERSTAND THE

Unit 1: Mathematics for engineering


LO1: Understand the application of algebra relevant to engineering problems

Linear simultaneous equations

AUNIT 1 MATHEMATICS FOR ENGINEERING  LO1 UNDERSTAND THE ctivity 1

Kirchhoff’s Laws can be used to analyse the voltages and currents flowing through parts of a circuit like the one shown in the picture.









UNIT 1 MATHEMATICS FOR ENGINEERING  LO1 UNDERSTAND THE

Part of the circuit is illustrated here – which includes two voltage sources and three resistors.


When Kirchhoff’s Laws are applied the currents are as follows:


10 V = 7I1 + 8 (I1 + I2)

20 V = 2I2 + 8(I1 + I2)











Solve the equations by re-writing them as linear simultaneous equations, to find the values of currents I1 and I2



Activity 2

UNIT 1 MATHEMATICS FOR ENGINEERING  LO1 UNDERSTAND THE

Look at the roller coaster in the picture.


On a straight downhill descent with constant acceleration, a ms-2, the distance travelled is given by the equation:


s = ut + ½ at2


Where s is distance travelled, u is initial velocity, t is time and a is acceleration.


If:

distance s = 24m at t = 2s, and

distance s = 88m at t = 4s

















Determine, using linear simultaneous equations:


  1. Initial acceleration (in ms-2)

  2. Initial velocity (in ms-1)

  3. Distance travelled after 5 seconds

Version 1

UNIT 1 MATHEMATICS FOR ENGINEERING  LO1 UNDERSTAND THE



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