The turbine rotor has a radius of 0.4 m, the rotation period is 0.005 s. What is the speed and acceleration

| April 20, 2021 | education

The turbine rotor has a radius of 0.4 m, the rotation period is 0.005 s. What is the speed and acceleration of the rotor blade tips?

R = 0.4 m.

T = 0.005 s.

V -?

a -?

The period T is the time of one complete revolution of the body. In one revolution, the rotor travels a distance S equal to the circumference L of the radius R.

The length of the circle L is determined by the formula: L = 2 * P * R, where P is the number pi.

The speed of movement V will be determined by the formula: V = S / t = L / T = 2 * P * R / T.

V = 2 * 3.14 * 0.4 m / 0.005 s = 502 m / s.

When moving in a circle, the centripetal acceleration a is determined by the formula: a = V ^ 2 / R.

a = (502 m / s) ^ 2 / 0.4 m = 630 010 m / s ^ 2.

Answer: the rotor speed is V = 502 m / s, the rotor acceleration is a = 630 010 m / s ^ 2.



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