Angular speed and circular motion

Angular speed and circular motion Quiz

Spec MD1–MD3 · AQA A-Level Further Maths: Quiz

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  1. 1. A particle moves on a circle of radius 2 m at 4 m s−14\text{ m s}^{-1}. Find its angular speed.

    • A. 8 rad s−18\text{ rad s}^{-1}
    • B. 2 rad s−12\text{ rad s}^{-1}
    • C. 0.5 rad s−10.5\text{ rad s}^{-1}
    • D. 32 rad s−132\text{ rad s}^{-1}

  2. 2. A wheel turns at 60 revolutions per minute. Find the speed of a point 0.5 m from the axis.

    • A. 1.57 m s−11.57\text{ m s}^{-1}
    • B. 6.28 m s−16.28\text{ m s}^{-1}
    • C. 19.7 m s−119.7\text{ m s}^{-1}
    • D. 3.14 m s−13.14\text{ m s}^{-1}

  3. 3. A point at radius 0.5 m rotates at 6 rad s−16\text{ rad s}^{-1}. Find its acceleration.

    • A. 18 m s−218\text{ m s}^{-2}
    • B. 3 m s−23\text{ m s}^{-2}
    • C. 72 m s−272\text{ m s}^{-2}
    • D. 36 m s−236\text{ m s}^{-2}

  4. 4. A cyclist rounds a bend of radius 16 m at 8 m s−18\text{ m s}^{-1}. Find the magnitude of the acceleration.

    • A. 0.5 m s−20.5\text{ m s}^{-2}
    • B. 2 m s−22\text{ m s}^{-2}
    • C. 4 m s−24\text{ m s}^{-2}
    • D. 128 m s−2128\text{ m s}^{-2}

  5. 5. Convert 90 revolutions per minute to radians per second.

    • A. 1.5 rad s−11.5\text{ rad s}^{-1}
    • B. 9.42 rad s−19.42\text{ rad s}^{-1}
    • C. 565 rad s−1565\text{ rad s}^{-1}
    • D. 0.016 rad s−10.016\text{ rad s}^{-1}

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