How can I calculate the angular frequency with given values?

In summary, the conversation revolves around calculating the angular frequency given various values for the problem, including a disk radius of 2.0m, a force of 94 N applied for 5 seconds, 4 masses each weighing 19kg at a distance of 1.9m from the axis, and the values of moment of inertia and total torque have been calculated. The question of obtaining the frequency from these values is raised, and clarification is given on the location of the masses and the force. Eventually, the conversation progresses towards finding the torque applied during the 5 seconds.
  • #1
borobeauty66
26
0

Homework Statement



I'm trying to caluclate the angular freequency, given that I've only been given various values for the problem.

Radius 2.0 m, Force applied for 5 s = 94 N. 4 objects each at 90°, each weighing 19kg, and at 1.9m from the axis.

From this, I've calulated the values of the the moment of inertia, and the total torque.

I thought we may need angular frequency to get the momentum, so thought I'd start here.


Homework Equations



L = Iω

The Attempt at a Solution



Not sure how to get the frequency from the values I've been given. I know you guys don't give the answers, but tips would be helpful.
 
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  • #2
Well, are the masses 1.9m or 2.0m from the axis?
 
  • #3
rude man said:
Well, are the masses 1.9m or 2.0m from the axis?

The disk radius is 2.0m, the masses are at 1.9m from the axis.
 
  • #4
I'm wondering what the point of giving the radius is. Did they specify any mass for the disc, or just the 4 masses?

Where is the force applied?
 
  • #5
Force is applied tangently, to the rim, therefore at the 2.0 m. Ignore the mass of the disk.
 
  • #6
Ah, we progress.

OK, so can you figure out how much torque is applied about the table axis during those
5 seconds?
 

FAQ: How can I calculate the angular frequency with given values?

What is angular frequency and how is it calculated?

Angular frequency is a measure of the rate at which an object or system oscillates or rotates around a central axis. It is represented by the symbol ω (omega) and is measured in radians per second. It can be calculated by dividing the angular displacement (θ) by the time taken (t) for the displacement to occur, giving the formula ω = θ/t.

What are the units of angular frequency?

The units of angular frequency are radians per second (rad/s).

How does angular frequency relate to other measures of frequency?

Angular frequency is related to other measures of frequency, such as linear frequency and period, through the equations ω = 2πf and ω = 2π/T, respectively. This means that the angular frequency is directly proportional to the linear frequency and inversely proportional to the period.

How is angular frequency used in real-world applications?

Angular frequency is used in various fields of science and engineering, such as in the study of oscillations, vibrations, and waves. It is also used in the design and analysis of rotating machinery, such as motors and turbines, and in the study of celestial bodies and their motion.

What are some common misconceptions about angular frequency?

One common misconception is that angular frequency is the same as angular velocity. While they are related, angular velocity is a measure of the rate of change of angular displacement, while angular frequency is a measure of the rate of rotation or oscillation. Another misconception is that angular frequency is the same as linear frequency. As mentioned before, they are related but represent different aspects of motion.

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