An electric motor shaft with a diameter of 10 cm makes 1200 revolutions in 1 minute.

| August 17, 2021 | education

An electric motor shaft with a diameter of 10 cm makes 1200 revolutions in 1 minute. What is the speed of the shaft rim point?

d = 10 cm = 0.1 m.

n = 1200.

t = 1 min = 60 s.

V -?

The speed of movement of the V point is determined by the formula: V = S / t, where S is the path traveled by the body, t is the time of its passage.

For 1 revolution, any point of the shaft rim passes the distance S1, equal to the circumference S1 = 2 * п * R, where P is the number pi, R is the radius of the shaft.

R = d / 2.

S1 = 2 * п * d / 2 = п * d.

During the time t, the shaft makes n revolutions, so the point passes the path S = n * S1 = n * п * d.

The speed of the rim point will be determined by the formula: V = n * п * d / t.

V = 1200 * 3.14 * 0.1 m / 60 s = 6.28 m / s.

Answer: The speed of the rim point is V = 6.28 m / s.



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