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A wheel travelled 55 km in 10001000 rotations. Find the diameter of the wheel to the nearest cm

Question

A wheel travelled 55 km in 10001000 rotations. Find the diameter of the wheel to the nearest cm

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Solution

Para resolver este problema, primero necesitamos encontrar la circunferencia de la rueda. Sabemos que la rueda viajó 55 km en 10001000 rotaciones.

  1. Convertimos 55 km a centímetros: 55 km=55×1000 m=55000 m 55 \text{ km} = 55 \times 1000 \text{ m} = 55000 \text{ m} 55000 m=55000×100 cm=5500000 cm 55000 \text{ m} = 55000 \times 100 \text{ cm} = 5500000 \text{ cm}

  2. Calculamos la circunferencia de la rueda: Circunferencia=5500000 cm10001000 \text{Circunferencia} = \frac{5500000 \text{ cm}}{10001000} Circunferencia5.499 cm \text{Circunferencia} \approx 5.499 \text{ cm}

  3. Usamos la fórmula de la circunferencia de un círculo para encontrar el diámetro: Circunferencia=π×diaˊmetro \text{Circunferencia} = \pi \times \text{diámetro} 5.499 cm=π×diaˊmetro 5.499 \text{ cm} = \pi \times \text{diámetro} diaˊmetro=5.499 cmπ \text{diámetro} = \frac{5.499 \text{ cm}}{\pi} diaˊmetro5.499 cm3.1416 \text{diámetro} \approx \frac{5.499 \text{ cm}}{3.1416} diaˊmetro1.75 cm \text{diámetro} \approx 1.75 \text{ cm}

Por lo tanto, el diámetro de la rueda, redondeado al centímetro más cercano, es aproximadamente 2 cm.

This problem has been solved

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