Assign2.U4.Ausama.mechanical.new

7/28/2019 Assign2.U4.Ausama.mechanical.new

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Internal Verification of Assignment Briefs

Qualification BTEC LEVEL 3 Extended Diploma in Mechanical Engineeringyear 1

Unit No. 4 Title Mathematics for Engineering Technicians

Outcome No. 2 TitleBe able to use trigonometric methods and standard

formulae to determine areas.

Assignment No. 2 Title Trigonometric Methods and Standard Formulae

Part 1 of 1

Assessor Name Ausama Ibrahim Hassan

Internal Verifier Ezz Eldin Hassan

Evaluation criteria

or 1

st

draft

Final

Brief

1 Is the assignment word processed?

2 Is there a title to the assignment?

3Is there reference to the unit and the learning outcomes being

assessed, including outcome statements?

4Is there a suitable scenario/introduction that is appropriate to the

level of the student?

5 Is it clear what evidence the student needs to generate?

6 Is the timescale for the assignment appropriate?

7

Do the grading criteria relate to the outcome(s) being assessed and

the P/M/D criteria from the qualification specification? (where

appropriate)

8 Is the assignment appropriate for the level of the students?

9 Is the hand-in date (Completion Date) clear?

10 Overall is the assignment fit for purpose?

Comments

Assessor's Signature Date

IV's Signature Date


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Sharjah Institute of Technology

Assessment Activity Front Sheet

(This front sheet must be completed by the STUDENT where appropriate and included with the work submitted for assessment)

Students Name: Assessors Name:Ausama I.Hassan

Date Issued: /1/2012 Completion Date: /1/201 Submitted on: / /

Qualification BTEC LEVEL 3 Extended Diploma in Mechanical Engineering year 1

Unit No.: 4 Unit Title: Mathematics for Engineering Technicians

Outcome No. : 1 Outcome Title:Be able to use trigonometric methods and

standard formulae to determine areas.

Assignment No.: 1Assessment Title: Trigonometric Methods and Standard Formulae

Part: 1 of 1

In this assessment you will have opportunities to provide evidence against the following criteria. Indicate the

page numbers where the evidence can be found

Criteria

Reference

To achieve the criteria the evidence must show that the

student is able to:

Tick if

met

Page

numbers

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

rules.

P7

Use standard formulae to find surface areas and volumes of regular solids for three

different examples respectively.

Declaration

I certify that this assignment is my own work, written in my own words. Any other persons work included in my assignment is

referenced / acknowledged.

Students Name Students Signature: Date:

Internal Verifiers approval to use with students

IVs Name:Ezz Eldin Hassan IVs Signature Date

Criteria Achieved

P4 P5 P6 P7

Front Sheet


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In your work as a mechanical technician, you may have to deal with a variety of

calculations and manipulations that need a knowledge of circular measurements,

triangular measurements and mensuration. As part of your course you are

required to prove your abilities to do such algebraic methods of calculations

and manipulations through solving the following tasks:

Task 1: [ P4 ]1.

Figure (1 )

In figure (1), the two circular sectors have the following measurements:

rad.121

cmr .51

cmr .102

Find :

A.

),(,sec..

,,;.

21

21

AAtoreachofarea

sslengthsArc

B. Measures of21

.. sands in degrees.

C. If the radius sweeps the circle (in both circles) and comes back to its initial position in


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time (T, seconds), write down the angular speed srad/, (as a function of (T).

Then write down the equations for the number of revolutions per seconds

frequencyf, , first as a function of (T) then of )( for both circles?

Calculate the values for (T = 0.1 seconds)

D. For each circle, write down the equation of the projection ix of the rotating pointer,

starting from its initial horizontal position as a function of amplitude ir ,angular speed

and time t .

E.

1. In figure (2), write down the formulae of AandAA tan,.cos,sin in terms of (a) and

(b) only.

2. Calculate the values of these functions of (A) when :

mbma 4,3

Figure (2 )
http://upload.wikimedia.org/wikipedia/commons/6/6f/Rtriangle.svg


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Task 2: [ P5 ]

1.

Figure (3 )

Scotch Yoke is a device as shown in figure (3). A wheel rotates anticlockwise. On the wheel is a

pin at radius (R).

The pin slides in the slot but the yoke can only move up and down in the guide.

Write down an equation for (x) as a function of for a given ( R=1 unit length )

Plot 1x as a function of for a given ( R=1 unit length ) for one complete cycle.


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2.

Figure (4 )

Consider, again, the Scotch Yoke but in its new arrangement with the yoke restricted to

horizontal movement this time as shown in figure (4).

Again the wheel rotates anticlockwise. On the wheel is a pin at radius (R).

The pin slides in the slot but the yoke can only move horizontally left and right in the guide.

Write down an equation for (x) as a function of for a given ( R=1 unit length )

Plot 2

x as a function of for a given ( R=1 unit length ) for one complete cycle.

3. By writing

2

1

x

xy plot y as a function of for one complete cycle.


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Task 3: [ P6 ]

Figure (5 )

1. Consider two forces of magnitudes 11 Newtons and 8 Newtons acting on a

particle, with an angle o30 between them (see figure (5)). Use the Sine and

Cosine Rules to find the magnitude and direction of the resultant force?

2. Considering the same two forces of magnitudes 11 Newtons and 8 Newtons

acting on the particle, what should the angle between them be in order

that the magnitude of the resultant force is

A. 19 Newtons?

B. 2 Newtons?

Draw appropriate diagrams for both cases (A) and (B).


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Task 4: [ P7 ]

I. A pyramid has a uniform hexagonal base; length of each side L, pyramid

height H as shown in figure (6 ).

1. Write down a formula for the volume V of the pyramid in terms of L and H.

2. Write down a formula for the surface area SA of the pyramid terms of L

and H.

3. Calculate the values of sAandV ,, when :

mmL 50 mmH 100

Llengthside.

Figure (6 )


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II. A right-angled Cone has a circular base of radius R , cone height H and

slanted height L as shown in figure (7 ).

1.

Write down a formula for the volume V of the pyramid in terms of L and H.

2. Write down a formula for the surface area SA of the pyramid terms of L

and R.

3. Calculate the values of sAandV ,, when :

mmR 50

mmH 100

Volume

Figure (7 ).


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Assessment Feedback Form

(This feedback sheet must be completed by the ASSESSOR where appropriate)

Feedback Sheet

Students Name:

Unit No.: 4 Assessment Title: Trigonometric Methods andStandard Formulae.

Criteria Achieved

P4 P5 P6 P7

Grading Criteria Achieved:

Unit T itle: Mathematics for Technicians

Outcome No.: 2

Outcome Title:Be able to use trigonometric methods and

standard formulae to determine areas.

Assignment No.: 2

Part: 1 of 1

Criteria

ReferenceAssessment Criteria Achieved Evidence Comments/feedb

P4

Solve circular and triangular measurement problems involving the use of

radian, sine, cosine and tangent functions. Yes/No

P5Sketch each of the three trigonometric functions over a complete cycle. Yes/No

P6

Produce answers to two practical engineering problems involving the sine

and cosine rules.

P7

Use standard formulae to find surface areas and volumes of regular solids

for three different examples respectively. Yes/No

Assessors General Comments:

Assessors Name: Ausama I. HassanSignature:

Date:

Students Comments:

Students Name: Signature: Date

Student's Work has been Internally Verified

IVs Name:Ezz Eldin Hassan

IVs Signature Date


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Assign2.U4.Ausama.mechanical.new