BTEC NATIONAL EXT DIPLOMA IN ENGINEERING500/8165/2

LEARNER NAME / ASSESSOR NAME
F. NDORO
DATE ISSUED / HAND IN DATE / SUBMITTED ON
Criteria / Task / Achieved / Feedback
P4 solve circular and triangular measurement problems involving the use of radian, sine, cosine and tangent functions / Task 1
P5 sketch each of the three trigonometric functions over a complete cycle / Task 3
P6 produce answers to two practical engineering problems involving the sine and cosine rule / Task 4
P7 use standard formulae to find surface areas and volumes of regular solids for three different examples respectively / Task 5
This brief has been verified as fit for purpose
Internal Verifier / ANTHONY SPICER
Signature / A J Spicer / Date / 27/07/2012

1

Our Lady & St JohnCatholicCollege Engineering

BTEC NATIONAL EXT DIPLOMA IN ENGINEERING500/8165/2

Qualification / Edexcel Lev 3 National Diploma in Engineering / Assessor name / F. NDORO
Unit number and title / Unit 4 – Mathematics for Engineering Technicians (A/600/0253) / Learner name
Assignment title / ASSIGNMENT TWO–Trigonometric Methods and Standard Formulae
P4 solve circular and triangular measurement problems involving the use of radian, sine, cosine and tangent functions
P5 sketch each of the three trigonometric functions over a complete cycle
P6 produce answers to two practical engineering problems involving the sine and cosine rule
P7 use standard formulae to find surface areas and volumes of regular solids for three different examples respectively
Learner feedback
Assessor feedback
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Learner signature / Date

TASK 1 - CIRCULAR MEASURE CALCULATIONS

P4 solve circular and triangular measurement problems involving the use of radian, sine, cosine and tangent functions

1.(a) Convert 720 from degrees to

(i) degrees (ii) revolutions

(c) Convert6 revolutions

[P4 Part]

1. Work out the length of each arc and area of each sector to 2 decimal places using the following formulas for area of sector and length of an arc:

Where r is the radius of the circle and is the angle subtended at the centre in radians.

(a) Radius = 10cm, angle subtended at centre = 720

[P4 Part ]

TASK 2 - TRIANGULAR MEASURE – SINE, COSINE & TANGENT RULE

P4 solve circular and triangular measurement problems involving the use of radian, sine, cosine and tangent functions

2. Three forces acting on a fixed point are represented by three sides of a triangle ABC of dimensions 7.0 cm, 12.6 cm and 18.25 cm. Determine the angles between the directions of the three forces. (Apply the cosine and sine rules)

[P4 Part]

TASK 3 – GRAPHS OF SINE, COSINE AND TANGENT OVER A FULL CYCLE

P5 sketch each of the three trigonometric functions over a complete cycle

(a) Using the same axis, plot the graphs of

1:

2:

3:

Over the range

(b) comment on the periodic cycles of the drawn curves above

[P5]

TASK 4 – APPLICATION OF SINE AND COSINE RULE IN ENGINEERING

P6 produce answers to two practical engineering problems involving the sine and cosine rule

Fig 1 below shows a wall crane.

1. Find the length of the tie and the angle the tie makes with the wall.

Fig. 1

2. The drawing below shows a metal piece after it has been cut out using the blanking process; dimensions for all sides are in mm.

i) Find the length AC

[P6]

TASK 5 –standard formulae for surface areas and volumes of regular solids

P7 use standard formulae to find surface areas and volumes of regular solids for three different examples respectively

1. Use standard formulae to find surface areas and volumes of the prisms below.

Student declaration

I declare that all the work submitted for this assignment is my own work or, in the case of group work, the work of myself and the other members of the group in which I worked, and that no part of it has been copied from any source.

I understand that if any part of the work submitted for this assignment is found to be plagiarised, none of the work submitted will be allowed to count towards the assessment of the assignment

Signed …………………………………… Date ………………………………

1

Our Lady & St JohnCatholicCollege Engineering

BTEC NATIONAL EXT DIPLOMA IN ENGINEERING500/8165/2

1

Our Lady & St JohnCatholicCollege Engineering