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Grade 11 · Science · Physics

11th grade Motion in a circle worksheet

6 printable versionsChallenge Me10 questions · answer keyFree · no account

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Motion in a circle

Grade 11 Science Worksheet - Challenge Me

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Circle the best answer, or write your answer on the line.

  1. A cart takes 4 s to go once around a circular track of radius 2 m. To the nearest hundredth, what is its acceleration toward the center, Ari?

  2. A cart takes 3 s to go once around a circular track of radius 1.5 m. To the nearest hundredth, what is its acceleration toward the center, Bo?

  3. A cart takes 2 s to go once around a circular track of radius 3 m. To the nearest hundredth, what is its acceleration toward the center, Esme?

  4. A string breaks above 20 N. A 0.5 kg ball whirls on it in a horizontal circle of radius 1 m. What is the fastest speed it can take, Jun?

    • About 6.3 m/s
    • 40 m/s
    • 10 m/s
  5. To let a ball whirl faster on the same kind of string without snapping it, which change helps, Luz?

    • A longer string, for a bigger radius
    • A shorter string, for a smaller radius
    • A heavier ball
  6. Milo says an outward force throws a whirling ball outward when its string snaps. Agree or disagree?

    • Agree: a force pushes it out from the center
    • Agree: the string pushed it out
    • Disagree: it moves off along its velocity
  7. Noah says a cart moving at a steady speed on a circular track has zero acceleration. Agree or disagree?

    • Agree: steady speed means no acceleration
    • Disagree: its direction keeps changing
    • Agree: inward and outward forces cancel
  8. Pia says a model satellite in a circular orbit is falling toward the planet the whole time. Agree or disagree?

    • Disagree: it floats at rest
    • Disagree: there is no gravity in orbit
    • Agree: gravity bends its path, but its sideways speed carries it around
  9. Two carts run at the same speed: one on a 1 m track and one on a 4 m track. How do their accelerations compare, Ren?

    • The 4 m cart's is 4 times as big
    • The 1 m cart's is 4 times as big
    • They are equal
  10. A cart doubles its speed. To keep the same force toward the center, how must the track radius change, Zee?

    • It must halve
    • It must be 4 times as big
    • It must double, like the speed
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11th grade Motion in a circle worksheet – printable
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About this worksheet

Motion in a circle. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can find centripetal acceleration, a = v² ÷ r, and force, F = mv² ÷ r, toward the center. I can find speed from the period, v = 2πr ÷ T, and acceleration from the period, a = 4π²r ÷ T².
  • I can name the force toward the center: a rail's push, tension or gravity. I can explain why steady speed in a circle is still acceleration.
  • I can predict straight-line, tangent motion when the inward pull stops. I can reject an "outward force".
  • I can scale: twice the speed needs 4 times the force, and twice the radius needs half. I can use a breaking-force limit to find a top speed.

Standard: none (TX, FL)

Words to know

centripetal: Pointing toward the center of the circle

period (T): Time for one full lap

tangent: A straight line touching the circle at one point, along the motion

tension: The pull of a string or rope

uniform circular motion: Moving in a circle at a steady speed

Common mistakes

Your child did not square the speed. Centripetal acceleration is v² ÷ r, and the force is mv² ÷ r.

Your child did not square the period. From v = 2πr ÷ T, the acceleration is 4π²r ÷ T².

Your child pictured a force pushing outward. The only sideways force is the inward pull; the outward feeling is the object's tendency to go straight.

Questions parents ask

What is the most common mistake with motion in a circle?

Your child did not square the speed. Centripetal acceleration is v² ÷ r, and the force is mv² ÷ r.

Are these 11th grade science worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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