How to calculate weight of object swinging a radius?

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Homework Help Overview

The problem involves calculating the weight developed by an object swinging on a pendulum-like arm, specifically a 20 lbs weight on a 30 inch arm, as it drops from a 2 o'clock to a 5 o'clock position. The context includes considerations of circular motion and the forces acting on the object during its swing.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the need to understand the forces involved in circular motion and how to apply angular velocity to the problem. Questions arise about the correct units for time and the relationship between angular velocity and weight measurement.

Discussion Status

Some participants have provided insights into the importance of using SI units and the relationship between angular velocity and force. There is an ongoing exploration of how to convert angular velocity into a weight measurement, but no consensus has been reached on the specific calculations or methods to be used.

Contextual Notes

Participants note the potential confusion regarding the use of RPM and the need for clarity on the time measurement for rotations. The original poster expresses uncertainty about where to start with the calculations.

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Homework Statement


20 lbs. on the end of a 30 inch arm. Dropping from 2oclock position to 5oclock position.

How much wieght will be developed if this was dropped on a scale measuring lbs.


Homework Equations


I am unsure how to calculate this.


The Attempt at a Solution


If there is a formula I can try to calculate myself.
I just don't know where to start.
 
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Hi there...
Let me see if I get this straight:, by
...if this was dropped on a scale measuring lbs.
did you mean that at that juncture, on this sort of pendulum, the thread/rope(whatever) is suddenly cut, and the object is dropped on a weight measure?
If that's the case, then you must consider what sort of forces act upon an object moving in such a structure; Essentially(and this is quite a hint), you need to think about circular motion...
Give it a try, it's bound to work...
Good luck,
Daniel
 
Ok. i researched that and found this formula.

w=2*3.14/t.

w in my angular velocity. that is what i need to know.

t is the period for 1 rotation.

Is the rotation in rpm.

I know my rpm is 19.

If so then w would be .33

If my angular velocity is .33

How does that convert to lbs?
 
Well, let me simply rearrange what you wrote, if you don't mind...
You're correct in positing that: \omega = \frac{2\pi}{t}, Where t is the time of a single rotation(however, in SI units, this is ALWAYS measured in seconds); Therefore, RPMs won't do.
My advice is(based on my personal experience) is to try and convert any problem to metric units(SI based), and if the solution explicitly requires Imperial/non-standard representation, only then(after having the proper resolution), should you turn it back to whatever's necessary(but that's my opinion, and you're of course free to do what you're comfortable with).
As for those pesky Lbs, think about what a force suggests, its equation, and what do Lbs represent in this case(Newton's 2nd law would be helpful).
You're on the right track though,
Daniel
 

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