- #1

nonsense333

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- Homework Statement:
- Determining applications of kinetic energy under specific guidelines.

- Relevant Equations:
- KE = 0.5 x mv^2

Imagine a 400-meter-long pipe with a 1600-meter diameter, floating in inter-planetary space. It is spinning at 0.5 gravity along its major axis and there are no secondary-axes spins. We need to increase rotation to 0.85 g. Its density is a uniform 2.3 kg/m³ and it weighs 49,120,056 kg.

Thanks to Izzy Newton, we can calculate the kinetic energy needed for the acceleration. KE = 0.5 x mv2. Applying the formula, 0.5 x 49,120,056 kg x 6724 (82 m/s2), resolves to 165,000,000,000 J.

But what does that mean?

Japan’s nuclear power plant at Kashiwazaki-Kariwa has 7 reactors with a total net capacity of 8 billion J (watts per second). Assuming reactors equivalent to each of those in Japan, 145 would power up our pipe to the stated rotation… but over what duration? Over one second? The pipe’s density means it is far from fragile, but neither could it take substantial torque, so imagine that we’ve solved the reinforcement problems using today’s technology and will set its acceleration in the midrange of solutions.

I have no training, education, nor necessary experience in a related field, so I’m hesitant to assert that I’ve made no mistakes so far. However, given the above, how would we power up a reinforced structure of the stated dimensions from 0.5 g to 0.85 g without tearing it apart? I want to tether an appropriate number of nuclear-powered rockets to the pipe to handle the transition, but my understanding of physics is pale. Would 10 rockets do the job over 6 months? 50 rockets over a year?

Thanks to Izzy Newton, we can calculate the kinetic energy needed for the acceleration. KE = 0.5 x mv2. Applying the formula, 0.5 x 49,120,056 kg x 6724 (82 m/s2), resolves to 165,000,000,000 J.

But what does that mean?

Japan’s nuclear power plant at Kashiwazaki-Kariwa has 7 reactors with a total net capacity of 8 billion J (watts per second). Assuming reactors equivalent to each of those in Japan, 145 would power up our pipe to the stated rotation… but over what duration? Over one second? The pipe’s density means it is far from fragile, but neither could it take substantial torque, so imagine that we’ve solved the reinforcement problems using today’s technology and will set its acceleration in the midrange of solutions.

I have no training, education, nor necessary experience in a related field, so I’m hesitant to assert that I’ve made no mistakes so far. However, given the above, how would we power up a reinforced structure of the stated dimensions from 0.5 g to 0.85 g without tearing it apart? I want to tether an appropriate number of nuclear-powered rockets to the pipe to handle the transition, but my understanding of physics is pale. Would 10 rockets do the job over 6 months? 50 rockets over a year?