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Circular Motion

Centripetal acceleration and centripetal force

  • 3 things to know
  • A2 Unit 3

Overview

Recall questions on Centripetal acceleration and centripetal force.

What you need to know

Answer each one before you reveal it.

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Numbers

State the formula for centripetal acceleration in terms of linear speed and radius.

Key term

State the alternative formula for centripetal acceleration in terms of angular velocity.

Numbers

State the formula for centripetal force in terms of mass, speed, and radius.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    State the formula for centripetal acceleration in terms of linear speed and radius.

    Model answer

    a = v²/r, where a is centripetal acceleration, v is linear speed, and r is the radius.

  2. 2

    Calculate the centripetal acceleration when linear speed = 13 m s⁻¹, radius = 10.1 m.

    Model answer

    Centripetal acceleration = (13 × 13) ÷ 10.1 = 16.7 m s⁻².

  3. 3

    State the alternative formula for centripetal acceleration in terms of angular velocity.

    Model answer

    a = ω²r, where a is centripetal acceleration, ω is angular velocity, and r is the radius.

  4. 4

    Calculate the centripetal acceleration when angular velocity = 5.2 rad s⁻¹, radius = 12 m.

    Model answer

    Centripetal acceleration = (5.2 × 5.2) × 12 = 324 m s⁻².

  5. 5

    State the formula for centripetal force in terms of mass, speed, and radius.

    Model answer

    F = mv²/r, where F is centripetal force, m is mass, v is linear speed, and r is radius.

  6. 6

    Calculate the centripetal force when mass = 26 kg, linear speed = 35 m s⁻¹, radius = 5.5 m.

    Model answer

    Centripetal force = (26 × 35 × 35) ÷ 5.5 = 5790 N.

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