How fast must the astronaut's head be moving

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In summary, an astronaut is strapped in at one end of a rotating arm that is 8.84g long in a horizontal plane. The maximum sustained acceleration experienced by the astronaut in this machine is 12.5g. To experience this maximum acceleration, the astronaut's head must be moving at a speed of m/s. If the astronaut is 2.00m tall, there is a difference of m/s^2 between the acceleration of his head and feet. The arm is turning at a speed of __rpm to produce the maximum sustained acceleration. The equation v^2/r may be useful in solving this problem. Despite attempting 22 different setups, the solution has not been found yet. It may be helpful to consider the physical
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dukebdx12
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Homework Statement


In this device, an arm 8.84g long rotates about one end in a horizontal plane, and the astronaut is strapped in at the other end. Suppose that he is aligned along the arm with his head at the outermost end. The maximum sustained acceleration to which humans are subjected in this machine is typically 12.5g

- How fast must the astronaut's head be moving to experience this maximum acceleration? m/s

- What is the difference between the acceleration of his head and feet if the astronaut is 2.00m tall? m/s^2

- How fast in rpm (rev/min) is the arm turning to produce the maximum sustained acceleration? 1/T= __rpm


Homework Equations


v^2/r ? something similar maybe


The Attempt at a Solution


i have probably attempted every set-up besdies the one that works. I have used the numbers in every different way to try and figure this out. I have tried 22 different ways and can not figure this out for my life
 
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Before setting up your calculations, think for a minute what kind of physical setup this is and what they're doing. Describe it to yourself. Draw a little sketch.
 

Related to How fast must the astronaut's head be moving

1. How is the speed of an astronaut's head measured?

The speed of an astronaut's head is typically measured using a device called an accelerometer. This device measures changes in acceleration, which can then be used to calculate the speed of the head.

2. What is the average speed of an astronaut's head during a spacewalk?

The average speed of an astronaut's head during a spacewalk can vary depending on factors such as the type of activity they are performing and their individual movements. However, it is generally estimated to be around 1-2 feet per second.

3. Can an astronaut's head move faster than the speed of sound?

No, an astronaut's head cannot move faster than the speed of sound. The speed of sound is approximately 767 miles per hour, and the average speed of an astronaut's head during a spacewalk is much lower than this.

4. How does the speed of an astronaut's head affect their perception of time?

The speed of an astronaut's head has no direct effect on their perception of time. However, the speed at which they are moving in relation to other objects can affect their perception of time dilation, as predicted by Einstein's theory of relativity.

5. What are the potential dangers of an astronaut's head moving too fast?

If an astronaut's head were to suddenly accelerate or decelerate at a high speed, it could potentially cause injury or disorientation. However, the speed at which an astronaut's head normally moves during a spacewalk is not considered dangerous.

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