Track Kinetic
Track Kinetic When would you use .7mv² as the equation for kinetic energy instead of .5mv²? My physics teacher told us to use the equation .7mv² for finding the kinetic energy of a marble on a...
Track Kinetic
 When would you use .7mv² as the equation for kinetic energy instead of .5mv²? My physics teacher told us to use the equation .7mv² for finding the kinetic energy of a marble on a roller coaster track instead of the standard .5mv². Why would we use this equation instead? When an abject rolls, it had rotational kinetic energy, as well as translational kinetic energy. The translational kinetic energy is always 0.5*m*v^2. But the rotational kinetic energy depends upon the moment of Inertia of the object, which in turn depends upon the shape of the object. The rotational kinetic energy is always expressed as 0.5*i*w^2, where i is the moment of inertia, and w is the angular velocity (w=v/r). For a solid sphere, i = 2/5*m*r^2. If you work out the math for 0.5*i*w^2 + 0.5*m*v^2 for a solid sphere, you find that the total kinetic energy is 0.7*m*v^2. It should make sense that there is such thing as rotational kinetic energy. Otherwise, it would take no energy at all to spin a wheel that is not touching the ground. Hope this helps! |
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How to Make Theme Park Rides
Making a theme park ride involves a thorough grounding in physics. The roller coaster is a good place to start. Over the years coaster designers have constantly been searching for bigger thrills and have pushed the limits of the laws of physics sometimes.
While a roller coaster is pulled by an electrical conveyor belt to the top of the first hill, the train does not have its own engine. After the pull to that first hill, the coaster is on its own, converting potential energy to kinetic energy. All the potential energy necessary is available at the top of the first big hill.
Roller coasters have different kinds of wheels for different purposes. There are wheels that guide the coaster on its tracks, and friction wheels minimize side to side movement. Another set of wheels is responsible for keeping the roller coaster on its tracks, even if it turns upside down. When the ride is over, compressed air brakes are used to stop the car.
While wooden coasters don't loop, they do have much more in the way of swaying motion than steel coasters. While steel coasters are taller and faster than wooden coasters, you don't get the chilling feeling of swaying from side to side like with wooden coasters.
While many people are familiar with the log flume rides at theme parks, they may not realize that log flumes were used in the lumber industry to push logs down to a sawmill with flowing water. The theme park rides are basically spiffed up versions of the ones used by lumber industries: a specially engineered river with hollowed out "logs" for people to sit in. Conveyor belts help the logs get to high points in the ride, and like coasters, the laws of converting potential energy to kinetic energy take over.
Basically all the so-called thrill rides at theme parks are variations on the theme of building up potential energy by taking a ride to a higher elevation, then safely converting that potential energy to kinetic energy using the law of gravity. Ensuring safety with lap bars, harnesses, and the use of brakes are critical design features in theme park rides.
About the Author
Andrea Smith is a freelance writer and Theme Park enthusiast from the UK. She writes for Techy Zone about roller coasters, thrill rides and theme parks in the UK.