You are standing on the bottom of a lake with your torso above water. Which statement is correct?
1 answer:
Answer:
c. There is a buoyant force that is proportional to the volume of your body that is below the level of the water.
Explanation:
Buoyancy can be defined as a force which is created by the water displaced by an object.
Simply stated, buoyancy is directly proportional to the amount of water that is being displaced by an object.
Hence, the greater the amount of water an object displaces; the greater is the force of buoyancy pushing the object up.
The buoyancy of an object is given by the formula;
Where;
Fb = buoyant force of a liquid acting on an object.
g = acceleration due to gravity.
p = density of the liquid.
v = volume of the liquid displaced.
h = height of liquid (water) displaced by an object.
A = surface area of the floating object.
The unit of measurement for buoyancy is Newton (N).
In this scenario, you are standing on the bottom of a lake with your torso above water. Thus, there is a buoyant force that is proportional to the volume of your body that is below the level of the water.
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Answer:
The total linear acceleration is approximately 0.246 meters per square second.
Explanation:
The total linear acceleration () consist in two components, <em>radial</em> (
) and <em>tangential</em> (
), in meters per square second:
(1)
(2)
Since both components are orthogonal to each other, the total linear acceleration is determined by Pythagorean Theorem:
(3)
Where:
- Radius of the wheel, in meters.
- Angular speed, in radians per second.
- Angular acceleration, in radians per square second.
Given that wheel accelerates uniformly, we use the following kinematic equation:
(4)
Where:
- Initial angular speed, in radians per second.
- Time, in seconds.
If we know that ,
,
and
, then the total linear acceleration is:
The total linear acceleration is approximately 0.246 meters per square second.