Answer to Question #984 in Mechanics | Relativity for brian

Question

In the spin cycle of a washing machine, the tub of radius 0.44 m rotates at a constant rate
of 705 rev/min. What is the maximum linear speed of the water inside the machine?
Answer in units of m/s.

Answer 1

The highest linear speed if the water can be reached at the walls of the tub (r=0.44)
ω =2*π*705 rev/min =2*π* 11.75 rev/sec.
According to the equations of the rotational motion:
V = ω *r =2*π*11.75 * 0.44 = 32.48 m/s