The spin cycle of a clothes washer extracts the water in clothing by greatly increasing the water's apparent weight so that it is efficiently squeezed through the clothes and out the holes in the drum. In a top loader's spin cycle, the 45-cm-diameter drum spins at 1250 rpm around a vertical axis.

What is the apparent weight of a 1.1 g drop of water?

Respuesta :

Answer:

4.24084 N

Explanation:

N = Speed of rotation = 1250 rpm

D = Diameter = 45 cm

r = Radius = [tex]\frac{d}{2}=\frac{45}{2}=22.5\ cm[/tex]

M = Mass of drop = 1.1 g

Angular speed of the water

[tex]\omega=\frac{2\pi N}{60}\\\Rightarrow \omega=\frac{2\pi 1250}{60}\\\Rightarrow \omega=130.89969\ rad/s[/tex]

Apparent weight is given by

[tex]W_a=M\omega^2 R\\\Rightarrow W_a=1.1\times 10^{-3}\times 130.89969^2\times 0.225\\\Rightarrow W_a=4.24084\ N[/tex]

The apparent weight of a 1.1 g drop of water is 4.24084 N