Robotics · lesson 15 of 30 · free

Wheels and distance — Robotics for kids

When a wheel makes one full turn, the robot rolls forward by the wheel’s circumference — the distance round its edge. Circumference = π × diameter. With wheels of 7, 14, 21 … cm, π = 22/7 makes the sum easy: a 14 cm wheel has a circumference of 22/7 × 14 = 44 cm. Five turns roll 44 × 5 = 220 cm. With π = 3.14, a 10 cm wheel rolls 31.4 cm each turn. To find the turns needed, divide the distance by the circumference.

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Robot tip

Circumference × turns — “distance = π × diameter × number of turns”

  1. Circumference = π × diameter (= 2 × π × radius). Use π = 22/7 for 7, 14, 21 … cm, or π = 3.14.
  2. Distance = circumference × turns.
  3. Turns = distance ÷ circumference. With gears, find the wheel’s turns first.

Use it for: Programming a robot to drive an exact distance, circle lessons in maths and robotics competitions.

Worked example: 🛞 A robot’s wheels have a diameter of 14 cm. Using π = 22/7, how far does the robot roll when the wheels turn 5 times (in cm)? → 220

  1. C = 22/7 × 14 = 44 cm.
  2. 44 × 5 = 220 cm.

Check: 220 ÷ 44 = 5 turns ✓

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🖨️ Robotics Worksheet: Wheel Distance

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