a 0.3 kg ball is attached to a string that is 50 cm in length, and completes 2 circles every second.Find the tension required to whirl the ball with the given constriants and also find the angle theta?
a 0.3 kg ball is attached to a string that is 50 cm in length, and completes 2 circles every second.Find the tension required to whirl the ball with the given constriants and also find the angle theta?
Sounds like you're missing a diagram. Can you describe what you mean by the angle theta?
Consider the sum of forces acting in the vertical direction:
.
where = angle of the rope to the vertical.
For the horizontal direction the horizontal component of the rope's tension must equal the ball's mass times its centripedal acceleration:
R is the radius of the circle traced by the ball: . You can find (rotational velocity) from the period of rotation:
So now you have two equation in two unknowns: and T. Let us know what you get for an answer and we'll check it for you.
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