I want to know all of the maths concerning this scissor mechanism!

[Maglatron]

so I'm reposting for the purpose that the question doesn't get lost in the thread
I have a question if the force was worked out to be 3.05 newtons to lift the weight up in 1 second but the rotation of the cam took 0.25sec with a torque of 0.053Nm will that still lift the weight? thanks and whats gaslighting I need to lift the weight in 0.25 seconds does this affect the torque or can I use the 0.053Nm still I want the cam to rotate at 8pi rad/s thanks

 

[Delta Prime]

ok that was NOT my intention the numbers are

I know kiddo. By the way thank you for the starting this thread I'm learning to...

 

[Maglatron]

oh nice one cool what have you learned?

 

[Delta Prime]

oh nice one cool what have you learned?

Are you ever NOT going to stop falling for that!
I was setting you up brother...

 

[Maglatron]

what for?

 

[Delta Prime]

All right;that's enough. I'm only going to respond when I have something to contribute regarding your query, You're a good sport.

 

[Maglatron]

why thankyou Mr Delta Prime

 

[Alec_t]

I need to lift the weight in 0.25 seconds does this affect the torque

Yes. To lift move anything a distance s in time t involves an acceleration a given by a = 2s/t^2. That requires a force ma, where m is the mass of the thing.

{Edited}

 

[Maglatron]

ok cool could you help me modify the torque required to lif the weight up in 0.25sec is that (2 * 1.1256637061)/(0.25^2) = a = 40.21238595m/s^2 * mass 0.2753233775kg = force of 11.07140992N 11.07140992 * slope 0.137 = 1.516783159N * max radius of cam 0.1256637061m = torque of 0.1906045931Nm
correct so far?

 

[Alec_t]

Your value for a is wrong. The force also has to overcome gravity (I've edited post #108).

 

[Maglatron]

whoops I redid the equation sum and the calculator says 36.0212386m/s^2 for a and the mass is 0.2753233775kg giving a force of 9.917489072N, is that correct now, thanks so did it again to make certain and I got 40.21238595m/s^2 again I'm certain this acceleration is correct!

 

[Maglatron]

sorry to be naive and probably will recognize when I see it

Your value for a is wrong. The force also has to overcome gravity (I've edited post #108).

how do you overcome gravity formula plaease, thanks
wait a sec 40.21238595m/s^2 is correct chat gpt gave the same equation for acceleration a and also gave 40.21238595m/s^2
but you mean that the value for a is wrong because I have not accounted for gravity please need a nudge
wait I know this you just plus on the 2.7N!!!
so 40.21238595m/s^2 * 0.2753233775kg =11.07140992N + 2.7N = 13.77140992N
which corrolates with chatGPT!

 

[Maglatron]

13.77140992 * 0.137 = 1.886683159N * max radius of cam 0.126 =0.237722078Nm
correct??

 

[Maglatron]

Your value for a is wrong. The force also has to overcome gravity (I've edited post #108).

so then what should a be? thanks I've cross checked that calculation 2s/t^2 and get 40.21238595m/s^2 for a every time!
okay if I add 40.21238595m/s^2 + 9.80665m/s^2 = 50.01903595m/s^2
or do I subtract 40.21238595m/s^2 - 9.80665m/s^2 = 30.40573595^2 because the gravity is in the opposite direction to the upwards motion
is that correct

 

[Maglatron]

The total acceleration required to move the block of 0.2753233775 kg upwards 1.256637061 meters in 0.25 seconds, overcoming gravity, is... what?? thanks
I think 50.01903595m/^2

 

[Alec_t]

the calculator says 36.0212386m/s^2 for a

Agreed.

chat gpt gave the same equation for acceleration a and also gave 40.21238595m/s^2

It's made the same error.
I suspect that, in the absence of anything similar in its training database, ChatGPT may have simply regurgitated the text you posted !

I know this you just plus on the 2.7N!!!

Yes.

Btw, your calculations assume you are lifting the load 1.26m, but the cam will only move the load by (Rmax-Rmin) * number of scissor stages, i.e (.126m-.05m) * number of stages.

 

[Maglatron]

Agreed.

I can't get my calculator to say 36.0212386 again

It's made the same error.
I suspect that, in the absence of anything similar in its training database, ChatGPT may have simply regurgitated the text you posted !

Yes.

Btw, your calculations assume you are lifting the load 0.126m, but the cam will only move the load by Rmax-Rmin, i.e .126m-.05m.

I see so the cam need to account for the 0.05m so it's 0.05 + 0.126 = outer radius needs to be 0.176

 

[Alec_t]

outer radius needs to be 0.176

Yes, assuming you have ten scissor stages (levels).

 

[Maglatron]

so how to get the calculator to say 36.0212386m/s^2 it's really bugging me! and do you plus on to this the 9.80665?? thanks

 

[Alec_t]

t^2 = 0.25^2 = 0.0625.
2*s = 2*1.126 = 2.252.
2.252/0.0625 = 36.032.
If your calculator says otherwise, treat it to a new battery or bin it .
How did you get the 9.80665 figure?