What Are the Parameters for Creating 1G to 5G Forces in a Rotational Machine?

[golith]

Hi Peoples,

Newbie here who would really appreciate some advice!
I'm developing a machine to emulate G-Force but within a defined area
therefore i need to now what forces are at play and what is required to sustain for example 1G or 2G upto a 5G range.

If this was a confusing question please let me know to try and clarify. But basically its an object going around a circle at velocity (same as a gravitron when the show comes to town.). I need paramters of;

Speed with what radius would be required to exert the G-forces required to simulate using a mass of approx 200kg (80kg person and 120kg for the frame). trying to aim for 120-240Rpm and a radius of approx 8 metres.

If U know the Formula I would love to hear from U.

Any and all help appreciated.

Regards
Golith

 

[brum]

The formula I think you want is very simple:

$$a_{centripetal} = v_T^2 / r$$

That's the centripetal acceleration, whose direction is always toward the center of the circle. And the velocity is the tangent velocity.

If you want to use angular velocity in the equation instead, use the substitution $$v = r \omega$$ to get:

$$a_{centripetal} = \omega^2 * r$$


Note how the centripetal acceleration is independent of mass. I'll let you try plugging in some numbers.

 

[thepatientmental]

Hi Golith,

Thank you for your question! Measuring centrifugal force can be a bit complex, but I'll do my best to help you understand it.

Firstly, it's important to understand that centrifugal force is not a real force, but rather a perceived force due to an object's inertia. It is the outward force that is experienced by an object when it is moving in a circular motion. This force is dependent on the object's mass, velocity, and the radius of its circular path.

To calculate the centrifugal force, you can use the formula Fc = m * v^2 / r, where Fc is the centrifugal force, m is the mass of the object, v is the velocity, and r is the radius of the circular path.

In your case, if you want to simulate 1G of force (which is equal to 9.8 meters per second squared), you will need to plug in the values and solve for v. This will give you the velocity needed to achieve 1G at a radius of 8 meters with a mass of 200kg.

However, it's important to note that the actual force experienced by a person in a machine like the gravitron will also depend on the direction of the force, the duration of the rotation, and the position of the person within the machine. So, it's best to consult a professional engineer or physicist for a more accurate calculation.

I hope this helps! Best of luck with your project.