Rotational Kinematics

35 MCQs This test covers radian measure, angular displacement and its direction, angular velocity, angular acceleration and the relations v = rω and a = rα. It also covers the equations of angular motion with their linear analogues and numerical examples such as the electric fan, CD and car wheel.

MCQs

35 questions · 30 min · 35 marks

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Sample questions

The first 5 of 35. Try each one, then tap to see the answer.

  1. Question 1

    One radian is the angle subtended at the centre of a circle by an arc whose length equals the:

    • Adiameter
    • Bradius
    • Ccircumference
    • Dhalf of the radius
    Show answer

    Answer: B

    By definition an arc equal in length to the radius subtends an angle of one radian.

  2. Question 2

    Rotational motion of a rigid body is described by the rotation of:

    • Athe heaviest particle only
    • Bthe centre of mass only
    • Cthe reference line OP
    • Dthe axis of rotation
    Show answer

    Answer: C

    The perpendicular OP dropped from a point to the axis acts as the reference line and all its angular quantities describe the whole body.

  3. Question 3

    The relation S = rθ is valid only when θ is measured in:

    • Adegrees
    • Brevolutions
    • Cradians
    • Dminutes of arc
    Show answer

    Answer: C

    The relation follows from the definition of the radian so θ must be in radians.

  4. Question 4

    One complete revolution corresponds to an angle of:

    • Aπ rad
    • B2π rad
    • Cπ/2 rad
    • D4π rad
    Show answer

    Answer: B

    The circumference is 2πr so the full angle is 2π radians.

  5. Question 5

    One radian is approximately equal to:

    • A57.3°
    • B360°
    • C180°
    • D3.14°
    Show answer

    Answer: A

    1 rad = 360°/2π which is about 57.3°.

More tests in Circular and Rotational Motion

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