A body 32 cm in diameter makes 72 revolutions in 6 minutes. What is the frequency of rotation of the body and what

A body 32 cm in diameter makes 72 revolutions in 6 minutes. What is the frequency of rotation of the body and what is the speed of its movement?

Body rotation period:
T = t / N, where t is the rotation time of the body (t = 6 min = 6 * 60 = 360 s), N is the number of body revolutions (N = 72 rev.).
T = t / N = 360/72 = 5 s.
Body rotation frequency:
n = 1 / T = 1/5 = 0.2 Hz.
Body speed:
V = Π * D * n, where D is the body diameter (D = 32 cm = 0.32 m).
V = Π * D * n = 3.14 * 0.32 * 0.2 = 0.2 m / s.
Answer: The body rotation frequency is 0.2 Hz, the body speed is 0.2 m / s.



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