Return to Home Page QUESTIONS AND ANSWERS Organized by Topics Select Topic Air Conditioners Airplanes Audio Amplifiers Automobiles Balloons Balls, Birdies, and Frisbees Bicycles Bouncing Balls Cameras Centrifuges and Roller Coasters Clocks Clothing and Insulation Compact Disc Players Computers Electric Motors Electric Power Distribution Electric Power Generation Electronic Air Cleaners Elevators Falling Balls Flashlights Fluorescent Lamps Incandescent Light Bulbs Knives and Steel Lasers Magnetically Levitated Trains Medical Imaging and Radiation Microwave Ovens Nuclear Reactors Nuclear Weapons Plastics Radio Ramps Rockets Seesaws Spring Scales Sunlight Tape Recorders Telescopes and Microscopes Television The Sea and Surfing Thermometers and Thermostats Vacuum Cleaners Violins and Pipe Organs Water Distribution Water Faucets Water, Steam, and Ice Wheels Windows and Glass Wood Stoves Xerographic Copiers Other Topics All Questions & Answers Ask a Question

 Question 1417

 Is there any mathematical relevance to the period of motion of a pendulum? For example, if I made a scale model of a pendulum and then squared it or cubed it, would there be any mathematical correlation between the results?
Yes, there would be a simple relationship between the periods of the three pendulums. That's because the period of a pendulum depends only on its length and on the strength of gravity. Since a pendulum's period is proportional to the square root of its length, you would have to make your model four times as long to double the time it takes to complete a swing. A typical grandfather's clock has a 0.996-meter pendulum that takes 2 seconds to swing, while a common wall clock has a 0.248-meter pendulum that takes 1 second to swing. Note that the effective length of the pendulum is from its pivot to its center of mass or center of gravity. A precision pendulum has special temperature compensating components that make sure that this effective length doesn't change when the room's temperature changes.