EM TMA 03

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The Open University**We aren't endorsed by this school

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ENGINEERIN T192

Subject

Mechanical Engineering

Date

Sep 5, 2024

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Unless otherwise stated, copyright © 2024 The Open University, all rights reserved. Printable page generated Thursday, 5 Sept 2024, 17:36 emTMA 03 Guidance on emTMA 03 This tutor-marked assignment ( T192 emTMA 03 ) must be submitted by 12 noon (UK local time) on Thursday 12 September 2024 . Note : no extensions are allowed for emTMA 03 . If you submit your assignment late it will not be marked and you will not be able to pass the module. If you foresee any difficulty with submitting your assignment on time, you should contact your tutor well in advance of the cut-off date as you may be able to assessment bank and defer your study to the next presentation of T192. If you cannot submit emTMA 03 due to circumstances which are beyond your control, such as illness or bereavement, you may be permitted to postpone your submission to the next available opportunity. This process is called discretionary postponement and strict eligibility criteria apply. You may need to provide third party documentary evidence of the circumstances which are preventing you from submitting emTMA 03. The same conditions apply as given in Section 3.8.2 of the Assessment Policies. If you wish to postpone you will need to complete the online discretionary postponement form (please note: you will need to complete the form as if this was an end-of-module assessment, EMA). This module requires all assignments to be submitted electronically. For this assignment you will produce and submit one electronic document. To submit an assignment, please follow the link(s) from your StudentHome page to the online TMA/EMA service. For further information about policy, procedure and general submission of assignments, you should refer to the Assessment Policies, which can also be accessed via your StudentHome page. You also need to complete three out of four iCMAs at 40% or higher to pass this module. Please check that you have done so or ask your tutor about revision iCMAs. Introduction emTMA 03: View as single page | OU online https://learn2.open.ac.uk/mod/oucontent/view.php?id=2267524&sect... 1 of 14 05/09/2024, 17:36

This assignment enables you to demonstrate your understanding of the material presented in Part 2 of T192. It also covers aspects of the module learning outcomes. This end-of-module TMA is worth 50% of your overall continuous assessment score (OCAS). You must achieve a score of at least 30% on emTMA 03 to pass the module . You will submit an electronic document (see the advice on submitting a TMA and check the file formats that are acceptable). If this proves difficult for any reason, contact your tutor as soon as possible. Important note : if you haven't done so already, you should read the Engineering assessment guide and the T192 Assessment strategy for general guidance on the assessment for this module. Aims The main aim of this assignment is for you to demonstrate your understanding of Part 2 of the module. You will be required to demonstrate that you can apply mathematical modelling techniques to a real-world situation, complete a design report on an activity that you carried out during your study of Part 2 and provide evidence of your work from the Open Engineering Studio (OES), and your Learning log and sketchbook. You will also be required to reflect on your studies and how they have helped you to achieve some of the learning outcomes of T192. Specific advice and guidance accompany each question, and you should make sure that you read and understand what the question is asking before you attempt your answer. If you are unclear about what is required, contact your tutor for further assistance. Preparation You should ensure that you have populated your Learning log and attempted each of the activities in Weeks 11-19 of T192 before submitting emTMA 03. If you have done this, completion of the assignment should be straightforward and you will be more likely to achieve a high score. Engaging with the emTMA is a part of your ongoing learning and it is the final piece of work required to help you to complete the module successfully. You should also ensure you have completed the appropriate number of iCMAs. emTMA 03 You should answer all five questions in this assignment. All of the questions consolidate your learning so far on the module. Where word counts are given in the advice and guidance section of a question, marks may not be awarded for answers that are of an inappropriate length. Seek advice from your tutor if you require emTMA 03: View as single page | OU online https://learn2.open.ac.uk/mod/oucontent/view.php?id=2267524&sect... 2 of 14 05/09/2024, 17:36

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further guidance. Question 1 A new building for a green technology exhibition space is being planned and is going to have a photovoltaic surface applied to the entire roof area. The photovoltaic roof surface is capable of generating electricity from sunlight. The proposed shape of the roof is shown in Figure 1. emTMA 03: View as single page | OU online https://learn2.open.ac.uk/mod/oucontent/view.php?id=2267524&sect... 3 of 14 05/09/2024, 17:36

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Figure 1 Proposed shape of the new roof: (top) 3D representation showing the roof area in blue; (bottom) plan view showing the principle dimensions as variables Show description There are still changes that can be made to the layout of the building and these will affect the dimensions of the roof geometry. One consideration in making this decision is how much power the new roof can potentially generate. To assess this, you have been asked to produce a mathematical model of the maximum power output as a function of the roof size. You will create this model as you go through the question. a. Show that a general formula for the area of the roof (A ) can be written as using the variables a , b , c and d shown in the figure above. Explain each step in obtaining this formula, stating how you have split the roof into different shapes. (Hint: for information on calculating areas see the additional maths resources Topic 8 located on the Resources tab of the T192 module website) . (4 marks) tot

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(4 marks) d. For this building, the actual power output is 15% of the theoretical maximum value of 140 W m . So, P = 15% x P . Use this percentage value to refine the formula for the average power output of the roof in watts (P ) based on the area. (2 marks) -2 ave peak ave e. One design option is to change only the length of the roof b whilst keeping all other measurements a , c and d constant, as follows: a = 6.0 m c = 14.0 m d = 8.0 m Use these measurements to update your formula for the average power output and call it (P ). Show your calculations and include a simplified version of the formula. (2 marks) model f. The formula for the average power output (P ) derived in Question 1(d) and amended in Question 1(e) above, and labelled as P represents the final model for the average power output from the roof. To allow designers to vary the length of the roof and see how the power output changes, the formula has been used to plot the graph shown in Figure 2 for varying values of roof length b . ave model emTMA 03: View as single page | OU online https://learn2.open.ac.uk/mod/oucontent/view.php?id=2267524&sect... 5 of 14 05/09/2024, 17:36

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Figure 2 Average power output, in watts, versus length of roof (b), in metres Show description Use this graph to find the minimum and maximum average power outputs from P if the minimum value for length b is 17 m and the maximum value is 35 m. (2 marks) model g. The graph above plots the average power output (P ) in watts on the vertical axis against the roof length ( b ) in metres on the horizontal axis. The formula for P derived in Question 1(e) is of the form y = mx + c . Comparing this formula for a straight line to the formula for P , what is the gradient, m , and the y -intercept, c , of the line in the graph above? Show all the steps in your working and clearly state the value and units of the gradient, m , and the y -intercept, c . (4 marks) Total: 20 marks model model model Question 2 A powered boat is setting out to cross a river. The boat's motor exerts a force F and the river's current exerts a force F on the boat. The boat's owner has forgotten to untie the tether which had secured the boat to the shore and this is exerting a force F on the boat. The forces are shown in Figure 3. M C T emTMA 03: View as single page | OU online https://learn2.open.ac.uk/mod/oucontent/view.php?id=2267524&sect... 6 of 14 05/09/2024, 17:36

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