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In the 1600’s, Galileo Galilei studied the motion of pendulums and discovered that the period of a pendulum, the time it takes to complete one full swing, is a function of the square root of the length of its string: , where L is the length of the string and g is the acceleration due to gravity. Consider two pendulums released from the same pivot point and at the same angle, . Pendulum 1 has a mass of 100 g, while Pendulum 2 has a mass of 200 g. If Pendulum 1 has a period four times the period of Pendulum 2, what is true of the lengths of the pendulums’ strings?

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The Applied Math assessment measures critical thinking, mathematical reasoning, and problem solving techniques for situations that actually occur in today’s workplace.


In the 1600’s, Galileo Galilei studied the motion of pendulums and discovered that the period of a pendulum, the time it takes to complete one full swing, is a function of the square root of the length of its string: <img alt='image_008_014.png' src='https://www.fatskills.com/images3/workkeys/image_008_014.png'/>, where L is the length of the string and g is the acceleration due to gravity.  Consider two pendulums released from the same pivot point and at the same angle, <img alt='image_008_015.png' src='https://www.fatskills.com/images3/workkeys/image_008_015.png'/>. Pendulum 1 has a mass of 100 g, while Pendulum 2 has a mass of 200 g. If Pendulum 1 has a period four times the period of Pendulum 2, what is true of the lengths of the pendulums’ strings?<br><img alt='22'>






 
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