A grindstone of mass 12 kg and radius 0.3 m is initially rotating freely at 48 rad/sec. An axe is brought into contact with the grindstone, which brings it to a stop in 6.6 seconds. Assume the grindstone is a uniform solid cylinder. 1) What is the moment of inertia of the grindstone around its rotation axis

Explanation:

1) The moment of inertia of the grindstone is:

Moment of inertia of the grindstone around its rotation axis = 0.54 Kg.m²

Explanation:

We are given that;

Mass; m = 12kg

Radius; r = 0.3m

Now,moment of inertia of a cylinder is given as;

I = ½mr²

Plugging in the relevant values, we obtain

= ½ x 12kg x (0.3m)²

= 6kg x 0.09m²

= 0.54 kg·m²

.) the observation by semmelweis that more mothers died of childbed fever when their doctors also worked in the morgue

scattering of light by tiny particles in air to produce the colors we see on sky, is dependent on the following factors:

(i) wavelength of light

(ii) size of the scattering particle  

(iii) distance traveled by light through the atmosphere.

according to rayleigh's law of scattering, the amount of scattering is inversely proportional to the fourth power of its wavelength. shorter the wavelength, greater is its scattering. hence violet/blue light is scattered more than red.

sun's light is a composite light ( visible light) with wavelengths in the range 400 nm (violet) to 700 nm (red). as sunlight passes through our atmosphere, the molecules of air scatter light according to their wavelengths. during sunrise and sunset, the sun's position is below the horizon. hence light from the sun travels a greater distance in the atmosphere when compared to its position a noon.

as sunlight enters the earth's atmosphere, blue light is scattered away and at the end of its journey in the sky, only red and orange wavelengths remain in the beam.

hence at sunrise and sunset, the sky appears reddish orange.