Uniform Circular motion
Mechanics > Circular Motion
As long as the ropes are tight the people can experience uniform circular motion As long as the ropes are tight the people can experience uniform circular motion:

When an object is experiencing uniform circular motion, it is traveling in a circular path at a constant speed.

If r is the radius of the path, and we define the period, T, as the time it takes to make a complete circle, then the speed is given by the circumference over the period.

The speed of something moving along a circular path can be called tangential speed because the direction of motion is always tangent to the circle.

Newton's second law for uniform circular motion :
Whenever an object experiences uniform circular motion there will always be a net force acting on the object pointing towards the center of the circular path. This net force points towards the center of the circle, at right angles to the velocity, hence the force will change the direction of the velocity but not the magnitude.

As the velocity increases, in a uniform circular motion, the frictional force has to increase to provide the necessary force required to keep the object spinning in a circle. If we continue to increase the rotation rate of the turntable, thereby increasing the speed of an object sitting on it, at some point the frictional force won't be large enough to keep the object traveling in a circle, and the object will move towards the outside of the turntable and fall off.

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