25 mL of water is poured into a graduated cylinder. Several coins are dropped into the water, and the new volume is measured to
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Answer:
So lift will be 30.19632 N
Explanation:
We have given area of the wing
We know that density of air
Speed at top surface and speed at bottom surface
According to Bernoulli's principle force is given by
The equation of motion of a pendulum is:
where it its length and
is the gravitational acceleration. Notice that the mass is absent from the equation! This is quite hard to solve, but for <em>small</em> angles (
), we can use:
Additionally, let us define:
We can now write:
The solution to this differential equation is:
where and
are constants to be determined using the initial conditions. Notice that they will not have any influence on the period, since it is given simply by:
This justifies that the period depends only on the pendulum's length.