The radius of a car wheel is 37.5 cm. The car travels along the highway at such a speed that the wheels make 400
| July 1, 2021 | education
The radius of a car wheel is 37.5 cm. The car travels along the highway at such a speed that the wheels make 400 revolutions every minute. Find the speed of the car in km / h.
In one revolution of the wheel, the machine travels a path equal to the circumference of the wheel. Find the circumference of the wheel:
L = 2 * π * r, since r = 37.5, then L = 2 * 3.14 * 37.5 = 235.5 (cm) = 2.355 (m).
According to the condition of the problem, the wheel of the car makes 400 revolutions in 1 minute, therefore, in 1 minute the car passes:
S = 400 * 2.355 = 942 (m) or 0.942 (km).
Thus, the speed of the car in km / h will be: v = 0.942 * 60 = 56.52 km / h.
Answer: 56.52 km / h.
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