Previous in Forum: Rotational speed of an electric screw jack   Next in Forum: Does a screw Jack induce transverse power
Close
Close
Close
5 comments
Rate Comments: Nested
Power-User

Join Date: Feb 2008
Posts: 353
Good Answers: 8

Angular acceleration of pivoting assembly

09/08/2022 10:47 PM

I could use help in finding angular acceleration ω of a pivoting mechanical assembly that oscillates ~41 degrees in total or 20.5 degrees +/- about is centre axis where the pivoting action is controlled by a crankshaft / connecting rod assembly of 5 mm crank radius and 17 mm connecting rod length. The crankshaft rotates at 6000 rpm. The radius of the pivoting assembly to the small end of the connecting rod is 14.3 mm.

The JM value of the pivoting assembly is 0.022 kgm^2. The aim is to find the maximum torque in Nm imposed on the pivoting assembly. The formula for torque in an accelerating rotating body is JM * ω^2 in Nm which is the answer sought.

The linear acceleration in m/s^2 of the small end of the connecting rod is higher at TDC than at BDC. We are looking for the maximum value that occurs at TDC.

At TDC the acceleration is r * ω^2 * (1+ lbd) = 0.005 * (6000*pi/30)^2 * (1+lbd) = 0.005 * 628.3^2 *1.295 /.937 (correction factor) = 2,730 m/s^2. How is that now converted to ω^2 of the pivoting assembly to find the maximum torque of the pivoting assembly in Nm? The difference in radius is 14.3 mm to 5 mm.

Thanks.

__________________
'The devil is in the detail'. Yes, but if the details are right the devil is on vacation.
Register to Reply
Interested in this topic? By joining CR4 you can "subscribe" to
this discussion and receive notification when new comments are added.
Guru

Join Date: Mar 2007
Location: by the beach in Florida
Posts: 33392
Good Answers: 1817
#1

Re: Angular acceleration of pivoting assembly

09/09/2022 1:46 AM
__________________
All living things seek to control their own destiny....this is the purpose of life
Register to Reply
Guru

Join Date: Mar 2007
Location: by the beach in Florida
Posts: 33392
Good Answers: 1817
#2
In reply to #1

Re: Angular acceleration of pivoting assembly

09/09/2022 4:54 AM
__________________
All living things seek to control their own destiny....this is the purpose of life
Register to Reply
Guru

Join Date: Mar 2007
Location: by the beach in Florida
Posts: 33392
Good Answers: 1817
#3
In reply to #2

Re: Angular acceleration of pivoting assembly

09/09/2022 5:16 AM

__________________
All living things seek to control their own destiny....this is the purpose of life
Register to Reply
Guru

Join Date: Aug 2005
Location: Hemel Hempstead, UK
Posts: 5826
Good Answers: 322
#4

Re: Angular acceleration of pivoting assembly

09/09/2022 8:38 AM

This drawing is on a 1mm grid: I think I've drawn what you described

Define Top Dead Centre on that drawing.

I don't think any of the obvious choices would be the positions where the maximum acceleration of the pivoting assembly occurs.

__________________
If you spend all your time looking for people and things to complain about: trust me, you will find plenty to complain about.
Register to Reply
Guru

Join Date: Jul 2005
Location: Stoke-on-Trent, UK
Posts: 4496
Good Answers: 137
#5

Re: Angular acceleration of pivoting assembly

09/15/2022 3:31 AM

Dividing the acceleration 2,730 m/s^2 by the radius of the pivoting assembly gives the angular acceleration of the pivoting assembly. Multiplying that by the JM value of the pivoting assembly, 0.022 kgm^2 gives the torque.

That's the way I see it, anyway

__________________
Give masochists a fair crack of the whip
Register to Reply
Register to Reply 5 comments
Copy to Clipboard

Users who posted comments:

Codemaster (1); Randall (1); SolarEagle (3)

Previous in Forum: Rotational speed of an electric screw jack   Next in Forum: Does a screw Jack induce transverse power

Advertisement