A wheel with a radius of 19 cm, having traveled a certain distance, made 180 revolutions.

| July 14, 2021 | education

A wheel with a radius of 19 cm, having traveled a certain distance, made 180 revolutions. How many revolutions will a wheel with a radius of 4.75 cm less make during the same distance?

Let’s find the distance that the given wheel will travel with the specified radius, for this we need to multiply the value of the radius of this wheel by the number of revolutions that this wheel has made:

19 * 180 = 3420 cm – this is the distance passed by the wheel given to us;

Let’s find the value of the radius of the other wheel, for this we need to subtract the indicated difference between the radii of these wheels from the value of the radius of the first wheel:

19 – 4.75 = 14.25 cm – this is the value of the radius of the second wheel given to us;

find the number of revolutions that the second wheel needs to make in order to travel the specified distance, for this we need to divide the distance by the found value of the radius of the second wheel:

3420: 14.25 = 240 – this is the number of revolutions necessary to make the wheel given to us.



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