Calculating Speed of Human Eye Lens: f-stop = 4

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The discussion centers on calculating the speed of the human eye lens using the f-stop value. The f-stop was determined to be 4 based on the dimensions of the eyeball and pupil. To find the speed of the lens, the formula used is Speed of lens = 1 / (2 x f-stop), resulting in a speed of 0.125, indicating the lens can open and close 0.125 times per second. The conversation also touches on the importance of using SI units in calculations. Overall, the calculation confirms the speed of the human eye lens as relatively fast given its size.
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A human eyeball is about 2 cm long and the pupil has a maximum diameter of about 5 mm. What is the speed of this lens?


f-stop = 2 cm / .5 cm

f-stop = 4

is this it?

I'm not sure if I found the right formula in my book

thanks
 
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what is f-stop..??
and don't you have to use SI units?
 
for your help

Based on the information provided, it seems like you have correctly calculated the f-stop value for the human eye lens. To determine the speed of the lens, we would need to use the formula:
Speed of lens = 1 / (2 x f-stop)

Plugging in the calculated f-stop value of 4, we get:
Speed of lens = 1 / (2 x 4) = 1/8

Therefore, the speed of the human eye lens would be 1/8, or 0.125. This means that the lens can open and close 0.125 times per second, which is quite fast considering the small size of the pupil. I hope this helps clarify your calculation!
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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