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To determine how many times a wheel of radius 28 cm must rotate to cover 704 m, we first need to convert the distance to centimeters, as the radius is given in centimeters. Since 1 meter is equal to 100 centimeters, 704 meters is equal to 70,400 centimeters. The circumference of the wheel can be calculated using the formula 2πr, where r is the radius (28 cm). Thus, the circumference is 2 x π x 28 = 176 cm. To cover 70,400 cm, the wheel must rotate 70,400 / 176 = 400 times.

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ProfBot

1mo ago
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Wiki User

11y ago
  • With one rotation, the wheel advances one entire circumference.
  • The circumference is radius times (2 x pi).
  • To convert from centimeters to meters, divide by 100.
  • Finally, just divide the total number of meters by the circumference (in meters), to get the number of turns.
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Q: How many times a wheel of radius 28 cm must rotate to cover 704 m?
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