Circular Moviment: Find Angle X Using L, M & w

[datatec]

Please refer to the attachment;

Can I express the angle X in function of the length L, the mass M and the circular velocity w?

If I were to do the experiment with an unknown gravity would I also have to include gravity g, to find the angle?

 

[Andrew Mason]

Please refer to the attachment;

Can I express the angle X in function of the length L, the mass M and the circular velocity w?

If I were to do the experiment with an unknown gravity would I also have to include gravity g, to find the angle?

For some reason your attachment is not shown. I am assuming that this is a mass suspended by a string undergoing a circular motion with angular speed \omega.

The string tension and gravity are the only forces acting on the mass. So the force of gravity is obviously important.

What is the acceleration of the mass? In what direction is it acting? What is the radius of circular motion? Do you know how to express the centripetal acceleration in terms of its angular speed and radius of motion? What supplies the horizontal acceleration? (Hint: it is either gravity or the tension or a combination of these).

Now a vertical force required to balance the downward force of gravity has to be supplied, since there is no vertical acceleration. What is it supplied by? What is the ratio of these forces? How does that relate to the angle X you are trying to find?

AM

 

[wais]

Yes, you can express the angle X in terms of the length L, mass M, and circular velocity w. The formula for finding the angle X in circular movement is X = (Mw^2L)/g, where g is the acceleration due to gravity. However, if you are conducting the experiment in a location with unknown gravity, you would need to measure and include the value of g in your calculation. This is because the acceleration due to gravity can vary depending on the location, and it plays a crucial role in circular movement. Without accounting for g, your calculation for angle X may not be accurate.