A scuba diver is swimming at an elevation of 52 feet below sea level. She sees it'school of fish and rises 16 feet to watch the
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Answer:
Step-by-step explanation:
Suppose at t = 0 the person is 1m above the ground and going up
Knowing that the wheel completes 1 revolution every 20s and 1 revolution = 2π rad in angle, we can calculate the angular speed
2π / 20 = 0.1π rad/s
The height above ground would be the sum of the vertical distance from the ground to the bottom of the wheel and the vertical distance from the bottom of the wheel to the person, which is the wheel radius subtracted by the vertical distance of the person to the center of the wheel.
(1)
where is vertical distance from the ground to the bottom of the wheel,
is the vertical distance from the bottom of the wheel to the person, R = 10 is the wheel radius,
is the vertical distance of the person to the center of the wheel.
So solve for in term of t, we just need to find the cosine of angle θ it has swept after time t and multiply it with R
Note that is negative when angle θ gets between π/2 (90 degrees) and 3π/2 (270 degrees) but that is expected since it would mean adding the vertical distance to the wheel radius.
Therefore, if we plug this into equation (1) then
The ratio of the heights of these pyramids is 3 : 1, the ratio of the base areas is 9 : 1 and the ratio of the volumes is 27 : 1.
<h3>What is ratio?</h3>Ratio can be defined as a mathematical expression which denotes the proportion of two (2) or more physical quantities to one another and the total quantities.
The ratio of the heights of these pyramids is given by:
Ratio = Height of pyramid A : Height of pyramid B
Ratio = (3V/lw) : (V/lw)
Ratio = 3 : 1.
The ratio of the base areas of these pyramids is given by:
Ratio = Base area of pyramid A : Base area of pyramid B
Ratio = (3a)² : a²
Ratio = 9a : a
Ratio = 9 : 1.
The ratio of the volumes of these pyramids is given by:
Ratio = Volume of pyramid A : Volume of pyramid B
Ratio = (3l × 3w × 3h)/3 : (l × w × h)/3
Ratio = 27 : 1.
Read more on pyramid here: brainly.com/question/16315790
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