Your informal report should contain: ● analysis
● worked solutions to the problems
Each worked solution should be laid out clearly and contain brief explanations of the stages of the calculation to indicate your understanding of how calculus can be used to solve an engineering problem. You ex...
BTEC Level 3 Engineering: Unit 15 (P8) - Electro, Pneumatic and Hydraulic systems and Devices
ENGINEERING FULL ASSIGNMENT 1 UNIT 10 (P1,P2,M1)
BTEC Level 3 Engineering: Unit 12 Full Assignment 3(P5,P6)-Applications of Mechanical Systems in Engineering
All for this textbook (95)
Written for
BTEC
PEARSON (PEARSON)
Engineering 2016/2017 NQF
Unit 7 - Calculus to Solve Engineering Problems
All documents for this subject (6)
2
reviews
By: tula_monaghan • 2 year ago
This is only the assignment brief. I thought for £7.00 I would get some support notes! If this is all there is, I would like a refund.
By: tamerelhassan • 2 year ago
Seller
Follow
abdulhumayun
Reviews received
Content preview
BTEC Assignment Brief
Pearson BTEC Level 3 National Extended Diploma in
Engineering
Pearson BTEC Level 3 National Extended Diploma in
Electrical/Electronic Engineering
Pearson BTEC Level 3 National Extended Diploma in
Mechanical Engineering
Qualification
Pearson BTEC Level 3 National Extended Diploma in
Computer Engineering
Pearson BTEC Level 3 National Extended Diploma in
Manufacturing Engineering
Pearson BTEC Level 3 National Extended Diploma in
Aeronautical Engineering
Unit number and title Unit 7: Calculus to solve engineering problems
A: Examine how differential calculus can be used to solve
Learning aim(s) (For NQF
engineering problems
only)
Solving engineering problems that involve differentiation
Assignment title
Assessor Md Nur-E-Alam Khan
Issue date
11/11/2021
01/12/2021
Hand in deadline
You are working as an apprentice engineer at a company
involved in the research, design production and
maintenance of bespoke engineering solutions for larger
customers.
Part of your apprenticeship is to spend time working in all
departments, however a certain level of understanding
Vocational Scenario or
needs to be shown before the managing director allows
Context
apprentices into the design team and so she has developed
a series of questions on differentiation to determine if you
are suitable.
Task 1 Produce a report that contains written descriptions, analysis
and mathematics that shows how calculus can be used to
solve engineering problems as set out below.
1 The equation for a distance, s(m), travelled in time t(s)
, by an object starting with an initial velocity u(ms-1) and
uniform acceleration a(ms-2) is:
1
s=ut+ a t 2
2
The tasks are to:
a) Plot a graph of distance (s) vs time (t) for the first
10s of motion if u=10 ms−1 and a=5 m s−2.
b) Determine the gradient of the graph at t =2 s and
t=6 s.
c) Differentiate the equation to find the functions for
i) (
Velocity v=
ds
dt )
( )
2
dv d s
ii) Acceleration a= =
dt dt 2
d) Use your result from part c to calculate the velocity
at t =2 s and t=6 s.
e) Compare your results for part b and part d.
2 The displacement of a mass is given by the function
y=sin3 t .
The tasks are to:
a) Draw a graph of the displacement y(m) against time
t(s) for the time t=0 s to t=2. s .
b) Identify the position of any turning points and
whether they are maxima, minima or points of
inflexion.
c) Calculate the turning points of the function using
differential calculus and show which are maxima,
minima or points of inflexion by using the second
derivative.
Compare your results from parts b and c.
3 The equation for the instantaneous voltage across a
−t
discharging capacitor is given by v=V e τ , where V O is
O
the initial voltage and τ is the time constant of the
circuit.
The tasks are to:
a) Draw a graph of voltage against time for V O =12V
2
BTEC Assignment Brief v1.0
BTEC Internal Assessment QDAM January 2015
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller abdulhumayun. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $9.67. You're not tied to anything after your purchase.
