Question

If a cycloid is made for the a rotation of circle
of diameter 20 mm. The range of cycloid
rounded to next whole number​

Answer 1

Answer:

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Answer 2

Answer:

The range of the cycloid rounded to the next whole number is 31mm.

Explanation:

A cycloid is a curve created by a point on the circumference of a circle that traces a straight line.

Given:

Diameter (d) = 20mm

To find:

Range of cycloid

Solution:

Radius (r) = d/2 = 20/2

Radius (r) = 10mm

Since the circle has done half rotation, half of the circumference of the circle has traced the line. Therefore,

Range = half of the circumference

Range = 2πr/2

Range = πr

Substituting the values, we get

Range = 3.14 × 10

Range = 31.4mm

Therefore, rounding off to the nearest whole number, we get the range as 31mm.

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