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Fundamental Data Analysis

Units, prefixes, standard form and angles

  • 3 things to know
  • Components 01, 02 and 03

Overview

Recall questions on defining and converting radians, arc length, a calculator left in the wrong angle mode, the prefixes from pico to giga, and arithmetic in standard form.

What you need to know

Answer each one before you reveal it.

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Key term

Define the radian.

Key term

Express 60° in radians.

Key term

What is one radian in degrees?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Define the radian.

    Model answer

    One radian is the angle subtended at the centre of a circle by an arc equal in length to the radius.

  2. 2

    How many radians are there in one complete revolution?

    Model answer

    There are 2π radians, which is about 6.28.

  3. 3

    Express 60° in radians.

    Model answer

    Multiplying by π/180 gives π/3, which is 1.05 rad.

  4. 4

    Express 2.50 rad in degrees.

    Model answer

    Multiplying by 180/π gives 143°.

  5. 5

    What is one radian in degrees?

    Model answer

    One radian is 57.3°.

  6. 6

    An arc of a circle of radius 0.25 m subtends an angle of 1.20 rad at the centre. Calculate the length of the arc.

    Model answer

    Using s = rθ with θ in radians, s = 0.25 × 1.20 = 0.30 m.

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The two charges .
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AThe neutron has lepton number 0.
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There are 2π rad in a full circle.
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