In washing machines, special centrifuges are used to spin the laundry. What is the greatest overload when spinning

In washing machines, special centrifuges are used to spin the laundry. What is the greatest overload when spinning the laundry if the centrifuge makes 10 revolutions per second, and its radius is 25 cm?

The centripetal acceleration a, with which the laundry moves in the centrifuge, can be found by the formula:

a = v2 / R, where v is the linear velocity, R is the centrifuge radius.

Expression for Linear Velocity

v = ωR = 2пfR,

where ω is the angular velocity, f is the rotation frequency, n = 3.14.

a = (2pfR) 2 / R = 4p2f2R = 4 * 3.142 * 102 s-2 * 0.25 m = 314 m / s2.

Let us compare the found acceleration with the gravitational acceleration g:

a / g = 314 m / s2 / 9.8 m / s2 = 32;

a = 32g.

Answer: The laundry in the centrifuge can experience a maximum overload of 32g.