Calculate the length of metal passing by cutting tool in one revolution if the diameter of work is 75mm and cutting speed is 120m/min.

Multiple Choice Question (MCQ)

Question: Calculate the length of metal passing by cutting tool in one revolution if the diameter of work is 75mm and cutting speed is 120m/min.

A. 235.5 mm

B. 295.7 mm

C. 365.3 mm

D. 485.7 mm

Correct Answer: 235.5 mm

Explanation

Sure, to find the diameter of the circle with a circumference of 31.4 cm, we can use the formula d = 2r, where r is the radius of the circle, and substitute the value of r using the formula for the circumference of a circle C = 2πr,

First we calculate radius: r = 31.4 / (2π) = 31.4 / (2*3.14) = 5.00 cm

Now we can use the diameter formula: d = 2r = 2 * 5.00 = 10.00 cm

So the diameter of the circle with a circumference of 31.4 cm is 10.00 cm.