Modelling and Estimation Flashcards

(24 cards)

1
Q

What are the steps to approaching a fermi-estimation question?

A

Step 1: State what approximations you are using. Step 2: State your assumptions. Step 3: Carry out your calculations. Step 4: Check the validity of your answer. Step 5: If necessary return to step 2. Step 6: State your answer

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2
Q

What is the average human lifespan?

A

80 years

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3
Q

What is the average human height?

A

1.65m

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4
Q

What is the average human weight?

A

70kg

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5
Q

What is the average human heart rate?

A

80 beats per minute

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6
Q

What is the average population of a village?

A

100 to 1000 people

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7
Q

What is the average population of a town?

A

1000 to 100000 people

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8
Q

What is the population of the UK?

A

68 million

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9
Q

What is the world population?

A

8 billion

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10
Q

What is the average days in a school year?

A

200 days

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11
Q

How would you work out the area of a square?

A

area = length x width

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12
Q

How would you work out the area of a triangle?

A

area = 1/2 x base x perpendicular height

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13
Q

How would you work out the area of a circle?

A

pi x r^2

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14
Q

How would you work out the circumference of a circle?

A

pi x diameter

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15
Q

What does perimeter mean?

A

The distance around a shape

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16
Q

How would you work out the area of a trapezium?

A

area = (a + b) x perpendicular height/2

17
Q

How would you work out the volume of a cuboid?

A

volume = length x width

18
Q

How would you work out the volume of a prism?

A

volume = cross section area x depth

19
Q

How would you work out the volume of a cylinder?

A

volume = pi x radius^2 x perpendicular height

20
Q

How would you work out the volume of a pyramid?

A

volume = 1/3 x base area x perpendicular height

21
Q

How would you work out the volume of a cone?

A

volume = 1/3 x pi x radius^2 x perpendicular height

22
Q

How would you work out the volume of a sphere?

A

volume = 4/3 x pi x radius^3

23
Q

How would you work out the surface area of a cylinder?

A

SA = (2 x pi x radius^2) + (2 x pi x radius x perpendicular height)

24
Q

How would you work out surface area of a pyramid?