Please answer all six questions and show all working out. Means a lot thank you
2. Choosing the right sized water tank for your home. [20 Marks] (1) Calculate the perimeter of the top of the tank (in millimetres and correct to the nearest mm). Rainfall is measured in units of length. It is quoted in millimetres falling on any flat, unobstructed area within the region receiving the rainfall. The amount of rainfall is recorded by a rain gauge as the height in millimetres. The Bureau of Meteorology publishes the amount of rainfall in all major population centres as an accrual over 24 hours from 9:00 to 9:00 each morning. Searching the website may lead you to a table showing the amount of rainfall every 10 minutes. A rain gauge at home can be fun for children, measuring and recording the data. Below is a hyperlink to a fact-sheet on choosing the appropriate water storage capacity for your home. Even if renting, you can perhaps arrange to install a small to medium sized water tank that could supplement your use of town water. Read the fact sheet on choosing the right sized water tank; then answer the following questions. http://www.nedlands.wa.gov.au/sites/default/files/Rainwater%20tank%20factsheet.pdf (ii) |You realise that the top of the tank could be useful to line up egg-laying boxes for your chickens. (a) The fact-sheet claims that 1mm of rain, falling on an area of 1 m', will deliver 1 L of rainwater into [2] Calculate the area of the top of the tank (in m and correct to two decimal places). your water tank. Use your mathematical skill to show that this claim, as presented in the fact-sheet, s correct. Helpful information: 1 L is 1000 cm . This calculation will work best using centimetres. (d) You purchase three of these water tanks, which are 1.5 m in height. Based on your answer to (c)(ii), calculate the capacity of a single tank, to the nearest litre. Calculate whether your three new tanks, altogether, provide more than or less than your desired storage capacity of 5000 L. Then state the (b) | A modern, medium-sized home may have a rooftop water collection area of 200 m, and should get [3] calculated difference (in a worded sentence) by with a rainwater tank of between 2000 and 10 000 L. Suppose that, to go with the 200 m2 roof of your house, you would like a rainwater storage capacity of 5000 L. Calculate the rooftop rainfall (in mm, as shown by a rain gauge) that would fill a 5000 L water tank. [Note that 1 m' is 1000 L.] (e) Once your three water tanks have been installed, the dry spell finally ends in your neighbourhood. Steady rainfall begins to deliver 15 litres per minute from the 200 m2 rooftop to your water tanks. Based on your answer to (d), calculate for how much time the steady rainfall must continue in order that your three water tanks reach full capacity. Give your answer in hours and minutes. (c) You select a narrow tank that fits beside the wall of your house. The top (or plan view) of the water tank is a flat, composite shape with two semi-circular ends and a long straight section in-between. Thus the tank is 300 mm wide, and altogether 3500 mm long, as shown: 00 mm 3500 mm TEP023 Assignment 4 Semester 1 2022 Semester 1 2022 TEP023 Assignment 4
