PencilGo

Grade 11 · Science · Physics

11th grade Motion in a circle worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

When it’s done, scan the sheet with your phone and PencilGo marks it and picks the next one. Create a free account

Version
Print

Motion in a circle

Grade 11 Science Worksheet - Building Confidence

NameDate

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

  1. A cart runs around a circular track of radius 3 m at a steady 6 m/s. What is its acceleration toward the center, Ari?

  2. A cart runs around a circular track of radius 0.5 m at a steady 5 m/s. What is its acceleration toward the center, Bo?

  3. A cart runs around a circular track of radius 2 m at a steady 8 m/s. What is its acceleration toward the center, Esme?

  4. In the diagram, which way does the ball's velocity point, Jun?

    • Away from the center
    • Along the circle, at right angles to the string
    • Toward the center
  5. In the diagram, which way does the net force on the ball point, Kira?

    Use the picture in question 4.

    • Toward the center
    • Along the velocity
    • Away from the center, flinging it out
  6. In the diagram, what is the ball's acceleration toward the center, Luz?

    Use the picture in question 4.

    • 20 m/s²
    • 3.2 m/s²
    • 5 m/s²
  7. A cart runs around a circular track, held in by an outer rail. What provides the force toward the center, Milo?

    • Gravity pulling it down
    • An outward push from its speed
    • The rail's push on its wheels
  8. A ball on a string whirls in a horizontal circle. What provides the force toward the center, Noah?

    • An outward force from its motion
    • Air pushing on the ball
    • Tension in the string
  9. A model satellite circles a planet. What provides the force toward the center, Pia?

    • The planet's gravity
    • The satellite's engines
    • No force, since it is in space
  10. A cart on a circular track reaches a gap in the outer rail. What does it do, Tala?

    • Leaves in a straight line along its velocity
    • Keeps curving around
    • Stops at once
PencilGopencilgo.com

11th grade Motion in a circle worksheet – printable
Print: 123456

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.

More physics

See all Physics

Every sheet you scan goes into your child’s record: dated, marked and ready for the year-end portfolio. Homeschool records