In almost every case in nature, adding heat to a liquid
causes the density of the liquid to decrease. That is,
when the liquid gets warmer, it expands and occupies
more space.
The one big exception to this rule is water !
Starting with a block of ice at zero°C (32°F), as the ice melts,
becomes water at zero°C, and all the way to 4°C (about 39°F),
its density increases all the way. That is, it shrinks and occupies
less volume as it goes from ice at zero°C to water at 4°C.
This sounds like an interesting but insignificant quirk ... until
you realize that if water didn't do this, then life on Earth would
be impossible !
Answer:
density is defined as the amount of mass contained in unit volume of a body .its si unit is kg/m*3
Answer:
Magnitude the net torque about its axis of rotation is 2.41 Nm
Solution:
As per the question:
The radius of the wrapped rope around the drum, r = 1.33 m
Force applied to the right side of the drum, F = 4.35 N
The radius of the rope wrapped around the core, r' = 0.51 m
Force on the cylinder in the downward direction, F' = 6.62 N
Now, the magnitude of the net torque is given by:

where
= Torque due to Force, F
= Torque due to Force, F'


Now,


The net torque comes out to be negative, this shows that rotation of cylinder is in the clockwise direction from its stationary position.
Now, the magnitude of the net torque:

Answer:
Frequency of the wave is 3.8 hertz.
Explanation:
It is given that, the sinusoidal wave has following wave equation as :
![y(x,t)=(2.5\ m)sin[(3\ m^{-1})x-(24\ s^{-1})t+\pi/2]](https://tex.z-dn.net/?f=y%28x%2Ct%29%3D%282.5%5C%20m%29sin%5B%283%5C%20m%5E%7B-1%7D%29x-%2824%5C%20s%5E%7B-1%7D%29t%2B%5Cpi%2F2%5D)
The general equation for the sinusoidal wave is :

Where
A is the amplitude
k is the constant
is the angular frequency
is the phase difference
Since, 


or
f = 3.8 Hz
So, the frequency of the wave is 3.8 hertz. Hence, this is the required solution.