Chapter 05, Problem 46 Reviewing Interactive Solution 5.46 will help in solving

Question

Chapter 05, Problem 46 Reviewing Interactive Solution 5.46 will help in solving this problem. A stone is tied to a string (length - 1.42 m) and whirled in a circle at the same constant speed in two different ways. First, the circle is horizontal and the string is nearly parallel to the ground. Next, the circle is vertical. In the vertical case the maximum tension in the string is 8.50% larger than the tension that exists when the circle is horizontal. Determine the speed of the stone. Number 1 Units the tolerance is +/-296 Question Attempts: Unlimited

Explanation / Answer

using equation

Tvertical = m v2 / r + m g

and

Thorizontal = m v2 / r

m v2 / r + m g = m v2 / r

0.085 v2 = g r

v = ( 9.8 X 1.42 / 0.085 )1/2

v = 163.7171/2

v = 12.79 m/sec

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