The sun can continue to exist in its present stable state for about another
2 answers:
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Answer:
Max speed =
Max acceleration =
Explanation:
Given the description of period and amplitude, the SHM could be described by:
and its angular velocity can be calculated doing the derivative:
And therefore, the tangential velocity is calculated by multiplying this expression times the radius of the movement (3 m):
and is given in m/s.
Then the maximum speed is obtained when the cosine function becomes "1", and that gives:
Max speed =
The acceleration is found from the derivative of the velocity expression, and therefore given by:
and the maximum of the function will be obtained when the sine expression becomes "-1", which will render:
Max acceleration =
Answer:
To burst the second barrel, the height of water should also be equal to 20 feet
Explanation:
Diameter of the pipe on the first barrel = 1 ft
Diameter of the pipe on the second barrel = 1/2 inch
The pressure of water in the pipes needed to burst the barrel,
To burst the barrel having the larger pipe, water was filled to a height of 20 ft
Note that the pressure of water in the pipes as given by the equation above does not depend on the diameters of the pipe. It only depends on the height, density and acceleration due to gravity. Since the density of water and the acceleration due to gravity are constant, for the second pipe to also attain the same pressure as the first pipe needed to burst the barrel, the height of water in the two pipes must be equal