Calculating speed in circular motion

AI Thread Summary
To calculate the speed of mass m2 in circular motion, the tension force of 3.7828 N is incorrectly equated with the centripetal force. The length of the string (81.3 cm) is not the radius of the circular path, which is essential for accurate calculations. The angle the string makes with the horizontal is crucial for determining the effective radius and the correct application of forces. Understanding these relationships is key to solving the problem accurately. Properly addressing these points will lead to the correct speed calculation for m2.
Anon2459
1. Homework Statement

A whirlygig is made by hanging a mass, m1 = 386.0 g, through a tube and then spinning another mass, m2 = 198.0 g around so that it forms a circle. When this happens the string makes a small angle with the horizontal as shown in the diagram. If this is done at a specific speed then m1 does not move up or down, for this question assume than m2 is moving at this speed. Also assume that there is no friction between the string and the tube.

Tension force acting on m2 is 3.7828

The length of the string between the tube and m2, l, is measured and found to be 81.3 cm. What is the speed of m2?

Homework Equations



F = m x r^2/r

The Attempt at a Solution


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3.7828 = 198.0 x V^2/81.3

Where did i go wrong?
 
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Two things: (1) The tension force is not the centripetal force (2) The length of the string is not the radius of the circle that m2 travels.

Key: What angle does the string make?
 
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