To find the speed of the wheel in m/sec, we need to convert the revolutions per minute to revolutions per second and then multiply it by the circumference of the wheel.
First, let’s convert the revolutions per minute to revolutions per second: 1 minute = 60 seconds 3000 revolutions per minute = 3000/60 = 50 revolutions per second
Next, let’s calculate the circumference of the wheel: The diameter of the wheel is 14 cm, so the radius is half of that, which is 7 cm. The circumference of a circle is given by the formula C = 2πr, where r is the radius. C = 2 * 3.14 * 7 = 43.96 cm
Now, let’s convert the circumference from cm to meters: 1 meter = 100 cm 43.96 cm = 43.96/100 = 0.4396 meters
Finally, let’s calculate the speed of the wheel in m/sec: Speed = revolutions per second * circumference Speed = 50 * 0.4396 = 21.98 m/sec
Therefore, the speed of the wheel is approximately 21.98 m/sec.
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