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mathskit

Approximations

Derek Jacobs looks at some quick and easy ways to make approximations, which can speed up your physics calculations, but also have wider applications that may be surprising

An old boss of mine always impressed me by being able to do rapid mental calculations in order to show whether his latest brainwave was possible. He showed great skill in carrying out order-of-magnitude calculations, making approximations that were much faster than using a calculator. This is a skill that is hugely important both in industry, where ‘time is money’, and in the exam hall, where time is limited.

You might already know some of the tricks he would use when doing quick calculations, like saying g ≈ 10ms–2 instead of 9.81, π2 ≈ 10, 1 year ≈ 3 × 107s, and so on.

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Previous

The photoelectric effect revisited

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Electrometry and stars: solution and notes

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