Assignment Mechanical science
title
Assessor
Date issued
Final deadline
Duration 4 one-hour sessions over two weeks
(approx)
Qualification BTEC International Level 2 Certificate in Engineering
suite covered BTEC International Level 2 Extended Certificate in Engineering
BTEC International Level 2 Extended Certificate in Mechatronics
BTEC International Level 2 Extended Certificate in Vehicle Technology
BTEC International Level 2 Diploma in Engineering
BTEC International Level 2 Diploma in Mechatronics
BTEC International Level 2 Diploma in Vehicle Technology
Unit covered Unit 20: Electrical and Mechanical Science for Engineering
Learning aim Learning aim B: Know engineering problems involving mechanical science
covered
Scenario You are a trainee engineer and as part of your course you are having work
experience in a company that carry out different types of mechanical
engineering projects.
The training manager would like you to produce information that can be used in
the data sheets to support the projects.
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BTEC International Level 2 Authorised Assignment Brief Unit 20 Learning Aim B – Issue 1 Oct 2021
Task 1 Complete the table below. It will be useful when answering the questions.
Quantity Symbol Unit
force
pressure
moment of a force
energy
power
work done
potential energy
kinetic energy
velocity
acceleration
pressure due to depth
Answer these questions using mechanical science formulae. You should show all
working in your solutions and use the correct unit for your answers.
1(a) An engine part with a mass 20kg is lifted 1.2m from the floor and placed on
bench. Calculate:
(i) the force applied to the bench due to the mass
(ii) the work done in lifting the mass from the floor to the bench.
1(b) A force of 400N is applied to a spanner of length 350mm, to tighten a bolt.
Calculate the torque on the bolt.
1(c) Two forces act at a point as shown. Determine the resultant of the two
forces.
1(d) Calculate the support reactions Ra and Rb for the beam shown.
1(e) A conveyor system takes 2.5 seconds to reach a velocity of 20m/s when
started from rest. Calculate the acceleration of the conveyor system.
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BTEC International Level 2 Authorised Assignment Brief Unit 20 Learning Aim B – Issue 1 Oct 2021
Use your values from the table when answering the following.
2(a) Determine the value of F3 for the system of forces shown
2(b) A beam has a 100kN load at a position x as shown.
Determine the distance ‘x’ required to maintain equilibrium in the beam.
2(c) A lift/elevator is monitored and some data is recorded. The lift is initially at
rest and reaches a maximum velocity V2 m/s in a time of T1 seconds. The lift
runs and its maximum velocity for 20 seconds before decelerating and after a
time T2 seconds, the lift stops. Plot a velocity time graph using the data
provided and calculate:
(i) the rate of acceleration of the lift
(ii) the average velocity of the lift.
2(d) A water container is used to store liquids of different density. Using the
data provided determine the pressure at the bottom of the water container and
1.25 m from the bottom of the water container.
2(e) a car/vehicle platform, in a garage, raises a car of mass M and distance D
and requires the power P as shown in the table. Determine the time taken to
raise the car.
Table of values for questions 2a, 2b, 2c 2d and 2(e).
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BTEC International Level 2 Authorised Assignment Brief Unit 20 Learning Aim B – Issue 1 Oct 2021
Teacher instructions
Use the values shown in the table for questions 2a, 2b, 2c,2d and 2e. Identify
each student against the list to show which data set they are to use. You can
add to the table if there are more students or change data values if required.
Question 2 (a) Question 2 (b)
Student Angle A F1 F2 Ra Rb L
1 60° 50N 80N 60 kNm 40 kNm 8m
2 40° 60N 40N 40 kNm 60 kNm 6m
3 45° 40N 50N 55 kNm 45 kNm 12m
4 30° 50N 80N 70 kNm 30 kNm 10m
5 75° 60N 40N 35 kNm 65 kNm 8m
6 60° 40N 50N 55 kNm 45 kNm 9m
7 40° 80N 60N 85 kNm 15 kNm 10m
8 45° 60N 30N 40 kNm 60 kNm 6m
9 30° 40N 50N 45 kNm 55 kNm 12m
10 75° 50N 80N 60 kNm 40 kNm 10m
11 60° 60N 40N 65 kNm 35 kNm 8m
12 30° 40N 50N 55 kNm 45 kNm 9m
13 75° 80N 60N 85 kNm 15 kNm 10m
14 60° 40N 70N 40 kNm 60 kNm 8m
15 40° 80N 60N 55 kNm 45 kNm 6m
16 45° 50N 80N 70 kNm 30 kNm 12m
17 30° 60N 80N 55 kNm 45 kNm 9m
18 60° 80N 40N 60 kNm 40 kNm 10m
19 40° 60N 70N 45 kNm 55 kNm 6m
20 45° 60N 40N 30 kNm 70 kNm 12m
Question 2 (c) Question 2 (d)
Stude V1 T1 T2 Water Liquid
nt container density
depth
1 6 12 30 8m 995 kg/m3
2 8 10 20 10m 1010 kg/m3
3 8 12 30 12m 1000 kg/m3
4 10 8 20 6m 800 kg/m3
5 12 15 30 4m 825 kg/m3
6 15 12 25 8m 1010 kg/m3
7 8 12 30 10m 1000 kg/m3
8 6 10 24 12m 800 kg/m3
9 10 8 28 6m 825 kg/m3
10 12 10 26 4m 995 kg/m3
11 8 12 20 8m 1010 kg/m3
12 6 10 18 10m 1000 kg/m3
13 6 12 30 12m 800 kg/m3
14 8 10 20 6m 1020 kg/m3
15 8 12 30 4m 990 kg/m3
16 10 8 20 6m 880 kg/m3
17 12 15 30 10m 1001 kg/m3
18 15 12 25 12m 825 kg/m3
19 8 12 30 6m 995 kg/m3
20 6 10 24 4m 1010 kg/m3
Question 2 (e)
Student Mass M Distance D Power P
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BTEC International Level 2 Authorised Assignment Brief Unit 20 Learning Aim B – Issue 1 Oct 2021
1 1175 kg 2.4 m 1.4 kW
2 1100 kg 2.2 m 1.25 kW
3 1200 kg 2.6 m 1.3 kW
4 1225 kg 2.1 m 1.6 kW
5 1220 kg 3.2 m 1.2 kW
6 1170 kg 3.1 m 1.75 kW
7 1060 kg 2.8 m 1.25 kW
8 1280 kg 2.75 m 1.4 kW
9 1225 kg 2.6 m 1.25 kW
10 1220 kg 2.1 m 1.3 kW
11 1170 kg 3.2 m 1.6 kW
12 1060 kg 3.1 m 1.2 kW
13 1280 kg 2.8 m 1.75 kW
14 1225 kg 2.75 m 1.25 kW
15 1220 kg 2.6 m 1.75 kW
16 1170 kg 2.4 m 1.25 kW
17 1060 kg 2.2 m 1.4 kW
18 1280 kg 2.6 m 1.25 kW
19 1170 kg 2.8 m 1.3 kW
20 1060 kg 2.75 m 1.6 kW
Evidence you Calculated values for mechanical quantities (including full working out and
must produce correct units).
for this task Sketches and diagrams to show the layout and features of mechanical
systems
Assessment Criteria covered by Task 1:
To achieve the assessment criteria you must show that you are able Criterion
to: Unit reference
Solve routine and non-routine mechanical science problems 1 B.P2
accurately.
Solve routine mechanical science problems accurately and non- 1 B.M2
routine problems by applying appropriate methods.
Solve routine and non-routine mechanical science problems 1 B.D2
accurately.
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BTEC International Level 2 Authorised Assignment Brief Unit 20 Learning Aim B – Issue 1 Oct 2021
Sources of Textbooks
information Clarke, S. et al. (2012) BTEC First in Engineering Student Book, Harlow: Pearson
Education, 978 1 44690 243 1.
Note to assessors
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of resources to support their teaching and study.
We would encourage them to use relevant resources for your local area such as
local employers, newspapers and websites.
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may be found at qualifications.pearson.com.
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BTEC International Level 2 Authorised Assignment Brief Unit 20 Learning Aim B – Issue 1 Oct 2021
