Rotational energy Puns

Hi! I'm trying to do my physics h/w and I can't find anything that would help. Here's the question:

If a drill produces 225J of heat each second, and also 75J of sound; how much useful rotational energy is produced each second?

The best formula I found requires the energy going in the drill in joules, but I don't have that.

Thanks!

On a frictionless inclined plane, would a sphere move slower if we make it spin at the start than it would move without spinning? What I'm trying to understand is would rotational kinetic energy add to the total kinetic energy or would the total kinetic energy stay constant and the object's linear kinetic energy decrease.

[This is my problem.] (https://i.imgur.com/4CUQQc8.png) This is part of my solution. Shouldn't the cylinder have a rotational kinetic energy term? How do I get it out of Cartesian coordinates?

Hi all,

I've been handed with 2 high-school interns for a summer-lab-experience internship. Somehow I'll be working with them on molecular dynamics.

I want them to (using DFT energy profiles) estimate force field parameters for hydrogen peroxide (edit: now I'm using diimide): 2 bond stretches, 1 angle distortion, and 1 torsional distortion. Hooke's law will work fine for the stretches. But what's would be easiest function to use for the angle and dihedral?

I don't plan on actually running these, or including any static terms. I just need them to understand a larger force field for a 50+ atom system (which I will give them).

Thanks!

For a project I am tasked with creating a device that taps threads into object but then automatically removes the tap by pulling up and turning the opposite way. I created the device to tap the threads by hand, but I'm looking for a mechanical to store that rotational energy and use the energy to turn the tap the opposite way once the threading process is complete.

I cannot use an electric drill or motor to create the motion. I have also looked into torsional springs, but for the project the user specified that torsional springs are not controlled easily.

I'd appreciate any ideas or steps in the right direction.

(TL;DR: I was thinking about how to fix the issues with The Fourth Bridge being powered and I ended up actually doing a fair amount of engineering on it, which I've decided to write up as an in-universe document. While I initially had just expected Sanderson to give them a way to use aluminum to turn spinning into linear movement, I eventually realized that's unnecessary and there are some interesting intermediate steps that I think they'd hit on in the process. While there are a few leaps of logic I'm making involving assumptions about fabrials, they're mostly out of convenience, not necessity. The system could function without my assumptions about multi-conjoiners.)

Notes of Brother Rabeshar

Vevesev, 1174

Having recently been transferred to work under Brightness Navani on refinements to the operation of The Fourth Bridge, I have sought to familiarize myself with the issues as they have been presented. The Brightlady is currently occupied in her new duties as a Bondsmith, necessitating the further delegation of her projects. In the absence of the occupying force of the Fused, we have been able to place more weights in the main shaft of Urithiru, allowing for the potential to move the craft short distances with stored energy, but the speed would be slower than a chull's pace given the size of the craft. Even with the advancements in scaled movement I've been reading into, the system has presented enough issues with the handheld device, and I am skeptical that it's worth the investment of spheres to continue down this path without clear plans for improvements.

Vevachach, 1174

Sister Zeheb presented the idea of "doubling up" on the weights and have them connected as both a conjoiner and a reverser. While the addition would only be of use during a highstorm, the vessel is capable of traveling above all but the loftiest storms and would allow for substantial troop movement, if only for a few hours. The main limiting factor here is the mechanical strength of the pulley system in the shaft. I'll run numbers on the potential for catastrophic failure under the worst recorded highstorm winds and The Fourth Bridge at full capacity to see if the size is something within reason.

Vevabes, 1174

I have given up the weight-and-pulley system. The increase in the size of the weights along with the losses at even a modest distance mean that the system would need chains whose links were as thick as my neck. The subsequent system scaling means w

Actually, the problem is that I can't determine which r should I take to plug in to the formula E=I(omega)^2. Which r should I take? The outer radius or inner radius.. or the mean value of the two radii?

Windmill Bearings are, in my opinion, the best source of rotational energy in create.

Why do I believe this to be the case?

Simplicity

It only takes 2 blocks to produce 512 stress units: The Windmill Bf earing and a Sail. You simply put a Sail on a Windmill Bearing, press a button, and it is finished. There is no water physics logic with the Water Wheel, no confusing crafting with the Furnace Engine, it is just craft, place, press button, and you are done.

Cheap

The Water Wheel is technically cheaper than the Windmill Bearing, however the resource cost for producing Windmill Bearings is still quite cheap. So why would I argue that the Windmill Bearing is cheap? Well, we can't just talk about the cost of the resources, we also have to include the cost of...

Size

Two Water Wheels are needed to produce the same output as one Windmill Bearing with one Sail. Roughly looking at the dimensions of two Water Wheels versus one Windmill Bearing, it is clear that the Windmill Bearing takes up less volume than the two Waterwheels. Also, who said you are limited to just one sail? The maximum output a single Windmill Bearing can produce is 8192 stress units when 128 Sails are attached to the Windmill Bearing. If you wanted to compress those 128 Sails into the three dimensions, you are looking at a rough 5x5x5 volume, which is bigger than two Water Wheels, but not by much, and the output difference is heavily skewed in favor of the Windmill Bearing.

One might argue at this point that this is where the Furnace Engine shines. It is both smaller and has a higher output than a 5x5x5 Windmill Bearing. However, I have two counter arguments to this. Firstly, the cost to craft the Furnace Engine is much greater than that of the Windmill Bearing. Producing brass, using mechanical crafters, etc., the process takes more steps that are complicated and cost more resources. Secondly, let's assume you get your Furnace Engine and you have set it up. Now you need to fuel it. The Furnace Engine is non-renewable and this is where the Furnace Engine pales in comparison to the Windmill Bearing. A counter argument to this counter argument would be "just make an automatic tree farm", and in the case you do, you are going to take up even more space and even more resources, just to output at twice the rate of a 5x5x5 Windmill Bearing. Instead of doing all those extra steps to keep a Furnace Engine renewable, why not just make another Windmill Bearing? Two Windmill Bearin

I was reviewing rotational bodies and I have this doubt cross my mind. The two relevant images are in the following link:

https://imgur.com/a/pD2aj1d

As you can see there's a body that has all the vectors and a line where it is shown that dWext = Mext*dTheta (where Mext is the external torque applied). My question is, what if the phi angle were 90? Would that imply there is no rotational energy? Or, for example, let's say I apply a force to a rotating disc that is perpendicular to the axis being considered - does that mean I have not given it any rotational energy, because it was done at a perpendicular angle, even though it is rotating?

So there are two balls with same weight same volume(or capacity i don't know which one is used in English), made with different material.The balls are releasing from the same height and a frictionless inclined plane. Which will reach the ground first? (It's the translation of a question from my book, could some problems because it's a translation.) So here's what I thought: I think one of the ball is full and the other one's inside is empty. But I don't know which reach the ground first. By the way they just didn't write the answer so I don't know it

If so, how?

Good morning,

I'm trying to do a lab for class and there is probably something simple I am missing or an algebra issue and just cannot figure it out.

The lab demonstrates a single block attached to an atwood's machine that falls at 1.5 m/s from 0.4 meters high. Falling mass is 0.1 kg, pulley mass is 0.5 kg and radius of solid cylinder is 0.1 meter. We are supposed to write an expression for the moment of inertia to match the velocity from the lab which I was able to do.

For the hollow cylinder, all values are the same except the inner radius is now 0.095 m and outer radius is 0.10 m and velocity is measured at about 1.2 m/s.

I can't get out a value that is close to this in any expression I write. I understand that a solid cylinder has I=1/2MR^2 and hollow cylinder is I=1/2M(r^2+R^2) but I'm not able to work anything out. The closest I got was 1.32 m/s but I don't think this is close enough.

I attached a screenshot of my failed attempts so far. Any nudge in the right direction would be greatly appreciated.