Circular Motion: Angular Speed and Centripetal Force · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.

Round and round, pulled inward

Science · Forces & Motion · ages 17-18
Name ______________________   Date ____________
  1. A disc spins with angular speed 3 radians per second. A point sits 2 m from the centre. What is its linear speed in metres per second?

    Answer: ______________

  2. What is centripetal force?

    • A new outward force
    • The inward job done by a real force
    • Friction inside every machine
  3. A real outward centrifugal force pulls on objects moving in circles.

    Circle one:   True   False

  4. A 0.5 kg ball on a 1 m string snaps the string at 50 N. What is the greatest steady speed in metres per second?

    Answer: ______________

  5. A ball circles with period 0.25 seconds. What is its frequency in hertz?

    Answer: ______________

  6. Which force keeps a car on a roundabout?

    • Tyre friction pointing inward
    • Engine thrust pointing forward
    • An outward centrifugal push
  7. Nina doubles the radius at fixed omega and says rim speed is unchanged. What is her error?

    • It doubles
    • It halves
    • It stays level
  8. Speed doubles on the same bend with the same mass. What happens to inward demand?

    • It doubles
    • It stays level
    • It quadruples
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Answer key

For grown-ups. Fold this page away before handing over the rest.

Round and round, pulled inward W1-mt_PW1G6nYStq-s1

  1. 6 · Rim speed is omega times r: 3 times 2 is 6 metres per second.
  2. The inward job done by a real force · It is a job title for tension, friction, or gravity pointing inward, not a new force.
  3. False · Only inertia heads straight while the real force hauls inward. No outward force acts.
  4. 10 · Set 0.5 times v squared over 1 equal to 50: v squared is 100, so v is 10.
  5. 4 · Frequency is one over period: 1 over 0.25 is 4 hertz.
  6. Tyre friction pointing inward · Tyre friction does the inward job here, hauling the car round the bend.
  7. It doubles · Rim speed is omega times r, so doubling r at fixed omega doubles v.
  8. It quadruples · Demand runs as v squared, so doubling v multiplies demand by four.
Worksheet · LightMySky