Pearson BTEC Level 3 Nationals
Write your name here
Surname
Forename
Learner Registration Number
Centre Number
Engineering
Level
3
Unit 1: Engineering Principles
Extended Certificate, Foundation Diploma, Diploma, Extended Diploma in
Engineering and all titles – Manufacturing / Aeronautical / Computer /
Electrical and Electronic / Mechanical Engineering.
Sample assessment material for first teaching September 2016
Time: 2 hours
Total
You must have:
Information booklet of formulae and constants
Ruler, protractor, pencil and calculator
marks
Instructions
Use black ink or ball-point pen.
Show all your working, use the appropriate units in your answers and always
answer to an appropriate degree of accuracy.
Fill in the boxes at the top of this page with your name,
centre number and learner registration number.
Answer all questions.
Answer the questions in the spaces provided
– there may be more space than you need.
Information
The total mark for this paper is 80.
The marks for each question are shown in grey boxes
– use this as a guide as to how much time to spend on each question.
You may use a non-programmable calculator that does not have the facility
for symbolic algebra manipulation or allow the storage and retrieval of
mathematical formulae.
Advice
Read each question carefully before you start to answer it.
This paper is divided into three sections (A, B and C).
Try to answer every question.
Check your answers if you have time at the end.
Paper reference
31706H
S54683A
©2016 Pearson Education Ltd.
1/1/1/1/1/1/1/1/1
*S54683A0119*
Turn over
SECTION A – Applied Mathematics
Answer ALL questions. Write your answers in the spaces provided.
The diagram shows a straight line graph that represents the run down time for an
item of machinery.
y
14
12
10
8
6
4
2
0
-2
1
2
3
4
5
6
7
x
1 Find the equation of the straight line graph.
Answer .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ........................................................................................................................................... . . . . . . . . . . . . . . . . . . . . . .
Total for Question 1 = 2 marks
2
*S54683A0219*
The diagram shows a radio transmission tower as viewed from two points A and B.
The height of the tower is 32 m.
32 m
C
28°
72°
D
A
B
Diagram not to scale
2 Calculate the distance between points A and B.
Answer .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................................................. . . . . . . . . . . . . . . . . . . . . . .
Total for Question 2 = 2 marks
*S54683A0319*
3
Turn over
The diagram shows an example of a plumb bob that is manufactured as a casting by
an engineering organisation.
100
40
Diagram not to scale
3 Calculate the volume of the plumb bob.
Answer .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ........................................................................................................................................... . . . . . . . . . . . . . . . . . . . . . .
Total for Question 3 = 3 marks
4
*S54683A0419*
The percentage increase in signal strength produced by an amplifier is represented
by the equation
Percentage increase = (3y2t)3 ÷ (yt2)-2
4 Solve the equation to find the value of y when the percentage increase is 62% and
the value of t = 0.5.
Show evidence of the use of the laws of indices in your answer.
Answer .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................................................. . . . . . . . . . . . . . . . . . . . . . .
Total for Question 4 = 4 marks
TOTAL FOR SECTION A = 11 MARKS
END OF SECTION
*S54683A0519*
5
Turn over
SECTION B – Mechanical and Electrical, Electronic Principles
Use appropriate units in your answers.
A spherical tank of diameter 5 m is used to store a gas that has a temperature of
290 K and a pressure of 50 kPa.
The temperature of the gas is reduced by 20 K and the volume of the gas remains
constant.
5 Calculate the pressure of the gas following the reduction in temperature.
Answer .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................................................ . . . . . . . . . . . . . . . . . . . . . .
Total for Question 5 = 2 marks
A container with a mass of 3 kg is dropped from a height of 4.5 m to the ground.
6 Calculate the velocity of the container when it hits the ground.
Answer .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................................................ . . . . . . . . . . . . . . . . . . . . . .
Total for Question 6 = 2 marks
6
*S54683A0619*
A technician has been asked to carry out experiments on two components that have
the same physical dimensions to investigate the density of the two components.
7 (a)Describe how the technician can use Archimedes’ Principle to find out which
component has the lowest density.
2 marks
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.................... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................................................. . . . . . . . . . . . . . . . . . . . . . .
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(b) The weight of one component is known to be 0.22 N in air, 0.2 N in water and
0.185 N in a liquid of unknown density.
Calculate the density of the component and of the unknown liquid.
4 marks
Density of component: . . . . . . . . . . . . . . . . . . . . . . . ........................................................................................................................................... . . . . . . . . . . . . . . . . . . . . . . . . .
Density of liquid: .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ........................................................................................................................................... . . . . . . . . . . . . . . . . . . . . . . . . .
Total for Question 7 = 6 marks
*S54683A0719*
7
Turn over
An electronics engineering technician has been asked to find the temperature
coefficient of resistance of a length of nickel conductor.
The technician has carried out some investigations and has recorded the following
measurements.
Temperature
Resistance
20°C
15 Ohms
40°C
16.8 Ohms
8 Calculate the temperature coefficient of the nickel conductor.
Answer .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ........................................................................................................................................... . . . . . . . . . . . . . . . . . . . . . .
Total for Question 8 = 2 marks
8
*S54683A0819*
The diagram shows a steel plate that is pivoted around a point P. The plate is
attached to four cables that are in tension.
5kN
3kN
45°
30°
P
4kN
65°
2kN
9 Calculate the magnitude and direction of the line of action of the resultant force
relative to the point P.
Magnitude: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................................................. . . . . . . . . . . . . . . . . . . . . . .
Direction: .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................................................. . . . . . . . . . . . . . . . . . . . . . .
Total for Question 9 = 7 marks
*S54683A0919*
9
Turn over
The diagram shows a connection between two steel sections that is held together by
a 12 mm diameter bolt.
10 Calculate the shear stress on the bolt.
Answer .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ........................................................................................................................................... . . . . . . . . . . . . . . . . . . . . . .
Total for Question 10 = 4 marks
10
*S54683A01019*
The circuit diagram shows a DC power supply connected to three capacitors in
parallel. Each capacitor is fully charged.
+
V1
120 V
C1
68pF
C2
560nF
C3
680pF
11 Calculate the energy stored in each capacitor.
Capacitor C1 .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................................................ . . . . . . . . . . . . . . . . . . . . . . .
Capacitor C2 .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................................................ . . . . . . . . . . . . . . . . . . . . . .
Capacitor C3 .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................................................ . . . . . . . . . . . . . . . . . . . . . .
Total for Question 11 = 3 marks
*S54683A01119*
11
Turn over
A 2 kg block of ice has been stored in a chiller at a constant 0°C.
In order to carry out an investigation, the block of ice needs to be turned into water at
a temperature of 75°C.
12 Calculate how much heat energy is required to change the block of ice into water
at 75°C.
Assume the specific heat capacity of water is 4200 J/kg°C and the specific latent heat
of fusion of water is 334 KJ/kg°C.
Answer .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ........................................................................................................................................... . . . . . . . . . . . . . . . . . . . . . .
Total for Question 12 = 5 marks
12
*S54683A01219*
An experiment is being carried out on a coil of 600 turns that is wound around
a closed cast steel core.
The coil has a length of 1000 mm and a cross sectional area of 500 mm2.
A BH curve has been produced from the experiment.
1.8
1.6
1.4
Flux density (B)
1.2
1
0.8
0.6
0.4
0.2
0
0
2000
4000
6000
8000
10000
Magnetic field strength (H)
13 Calculate the current required to create a flux of 0.7 mWb in the core.
Total for Question 13 = 5 marks
*S54683A01319*
13
Turn over
An electrical engineer has been investigating the braking systems of hybrid powered
vehicles.
14Explain two reasons why making use of eddy currents created in the motor/generator
of hybrid powered vehicles would make the braking system more efficient.
1 .. ............. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................................................ . . . . . . . . . . . . . . . . . . . . . .
................... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................................................ . . . . . . . . . . . . . . . . . . . . . .
................... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................................................ . . . . . . . . . . . . . . . . . . . . . .
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2 .. ............. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................................................ . . . . . . . . . . . . . . . . . . . . . .
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Total for Question 14 = 4 marks
14
*S54683A01419*
An electronics test bench is fitted with a variable alternating current (AC) supply
that is used for testing devices such as transformers and other electromagnetic
equipment. The electricity supply has a periodic time of 30 ms at a current of 18 mA
and has an inductance of 60 H.
15 Calculate the peak voltage of the AC supply to the bench.
Answer .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................................................. . . . . . . . . . . . . . . . . . . . . . .
Total for Question 15 = 7 marks
*S54683A01519*
15
Turn over
The diagram shows a network of resistors connected to two direct current power
supplies.
R1
5.6
R2
6
R4
18
R3
12
+
+
V2
12 V
V1
25 V
16 Calculate the power dissipated by resistor R3.
Answer .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ........................................................................................................................................... . . . . . . . . . . . . . . . . . . . . . .
Total for Question 16 = 8 marks
TOTAL FOR SECTION B = 55 MARKS
END OF SECTION
16
*S54683A01619*
BLANK PAGE
SECTION C BEGINS ON THE NEXT PAGE.
*S54683A01719*
17
Turn over
SECTION C – Synoptic Questions
Answer ALL questions. Write your answers in the spaces provided.
A two post 4000 kg car lift uses a 230 V electric motor to drive a mechanical
lifting system.
It is able to lift a 4000 kg vehicle to a height of 2 m from the floor in a time of 40s.
The motor draws a current of 25 A and has an efficiency of 65%.
2 metre limit
Electric motor
17 (a) Calculate the power output from the motor to the mechanical system.
4 marks
Answer .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................................................ . . . . . . . . . . . . . . . . . . . . . .
18
*S54683A01819*
(b) Calculate the overall efficiency of the electromechanical system.
8 marks
Answer .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................................................. . . . . . . . . . . . . . . . . . . . . . .
(c)Explain one way that using pulleys could improve the overall system efficiency of
the vehicle lifting system.
2 marks
.................... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................................................. . . . . . . . . . . . . . . . . . . . . . .
.................... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................................................. . . . . . . . . . . . . . . . . . . . . . .
.................... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............................................................................................................................................. . . . . . . . . . . . . . . . . . . . . . .
Total for Question 17 = 14 marks
END OF EXAM
TOTAL FOR SECTION C = 14 MARKS
TOTAL FOR PAPER = 80 MARKS
*S54683A01919*
19