What is temperature?
1 answer:
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Answer:
Explanation:
First at all let's understand what is moment of inertia (I). The moment of inertia of a body is the rotational analog of mass in linear motion, this is, it determines the force we should apply to the body to acquire a specific angular acceleration. But in the rotational case we should specify about what point we are going to rotate an object so always the moment of inertia is defined respect to an arbitrary axis. It's usual to use the center of mass as an axis of rotation, because it's an unique point where we can assume all the mass of the object is concentrated.The moment of inertia respect of an axis that passes through the center of mass is denoted .
Now, if the disk you're talking about has uniform density the center of mass is exactly at the geometrical center of the disk, and the moment of inertia of a disk as that is:
(a) Find free-body diagram in attachment (please rotate the picture, such that R points upward and mg points downward)
There are only two forces acting on the parachutist:
- Its weight, downward, of magnitude 1000 N, labelled with "mg" in the diagram (where m = mass of the parachutist, g = acceleration of gravity)
- The air resistance, upward, of magnitude 2000 N, labelled with "R" in the diagram
As the air resistance is larger than the weight, in the diagram it is represented with a longer arrow, in order to show the difference in magnitude.
(b) 1000 N, upward
By taking upward as positive direction, we can rewrite the two forces as:
R = +2000 N
mg = -1000 N
Where we have written the weight as a negative number, since its direction is downward.
Therefore, the net force on the parachutist will be
F = R + mg = +2000 + (-1000) = +1000 N
And the positive sign indicates that the resultant force is upward.
(c) The parachutist will be accelerated upward (= he/she will slow down)
We can answer this part by applying Newton's second law, which is summarized by the following:
(1)
where
F is the resultant force on the body
m is its mass
a is its acceleration
For the parachutist in this problem, the mass is
Therefore, using (1), we find the acceleration of the parachutist:
Where the positive sign indicates that the acceleration is upward. Therefore, the parachutist will be accelerated upward, which means that he/she will slow down, since its direction of motion was downward.
Answer:
a)
b)
Explanation:
From the question we are told that
Diameter of hole
Depth of hole
Diameter of tank
Generally the equation for pressure is mathematically given as
Where
Generally the level at which the water level will initially drop if the water is not replenished is mathematically given by
Therefore the level at which the water level will initially drop if the water is not replenished