Maybe I need to take a little break from my studies but I'm not getting this at all. At the risk of looking really dumb, here's what I need help with;
Imagine that you are living in a rotating space habitat. The habitat has a diameter and a rotational speed such that at the outer edge you experience a simulated gravitational acceleration of 1 g.
A) Imagine that at the outer edge you decide to ride your motorbike in a clockwise direction (the direction of the rotation of the habitat). As your speed increases to 25 km/h does your rotational speed increase, decrease or remain the same? Why? In answering this question, remember (1) that linear speed and tangential speed are the same and (2) tangential speed and rotational speed are proportional.
Solution Attempt: It increases, right? Because tangential/linear speed are proportional?
B) What happens to the simulated gravitational acceleration you experience: does it increase, decrease or remain the same? (In answering this question, consider the relationship between tangential speed and centrifugal force.)
Solution Attempt: I'm not entirely sure what they're hinting at. I guess it increases because centrifugal force is an effect of rotation, so with greater speed the more you feel this effect.
C) If you decide to ride your motorbike in a counter clockwise direction, as your speed increases does your rotational speed increase, decrease or remain the same? Why?
Solution Attempt: It decreases? Because now the speed of the habitat is working against you.
D) What happens to the simulated gravitational acceleration you experience: does it increase, decrease or remain the same?
Solution Attempt: I would assume it decreases because you're moving against the centripetal force, the faster you go, presumably, the more you negate the force.
E) How fast would you have to be going and in what direction to experience weightlessness?
Solution Attempt: I guess in the opposite direction of the environment at the exact same speed, but this is just a guess and I don't really understand why... Nothing like this is covered in my textbook. Sometimes being homeschooled sucks D:
Any added insight would be much appreciated as I'm not really understanding this. Thank you. :)
Imagine that you are living in a rotating space habitat. The habitat has a diameter and a rotational speed such that at the outer edge you experience a simulated gravitational acceleration of 1 g.
A) Imagine that at the outer edge you decide to ride your motorbike in a clockwise direction (the direction of the rotation of the habitat). As your speed increases to 25 km/h does your rotational speed increase, decrease or remain the same? Why? In answering this question, remember (1) that linear speed and tangential speed are the same and (2) tangential speed and rotational speed are proportional.
Solution Attempt: It increases, right? Because tangential/linear speed are proportional?
B) What happens to the simulated gravitational acceleration you experience: does it increase, decrease or remain the same? (In answering this question, consider the relationship between tangential speed and centrifugal force.)
Solution Attempt: I'm not entirely sure what they're hinting at. I guess it increases because centrifugal force is an effect of rotation, so with greater speed the more you feel this effect.
C) If you decide to ride your motorbike in a counter clockwise direction, as your speed increases does your rotational speed increase, decrease or remain the same? Why?
Solution Attempt: It decreases? Because now the speed of the habitat is working against you.
D) What happens to the simulated gravitational acceleration you experience: does it increase, decrease or remain the same?
Solution Attempt: I would assume it decreases because you're moving against the centripetal force, the faster you go, presumably, the more you negate the force.
E) How fast would you have to be going and in what direction to experience weightlessness?
Solution Attempt: I guess in the opposite direction of the environment at the exact same speed, but this is just a guess and I don't really understand why... Nothing like this is covered in my textbook. Sometimes being homeschooled sucks D:
Any added insight would be much appreciated as I'm not really understanding this. Thank you. :)
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