Centripetal Force In The Greek Waiter

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The Greek Waiters tray is a unique apparatus to study. It uses the idea of centripetal force and centripetal acceleration to allow a waiter to effortlessly deliver drinks to a table without the fear of spilling them. The operation of this apparatus is also very unique. The waiters will typically have the cup placed in the exact center of the plate. As the tray is picked up the tray will begin to swing freely in the waiter’s hand. Although the Greek Waiters Tray was not typically swung in a full rotation, a waiter could have easily done this without the cup falling off. The most difficult part about swing it in a full rotation would have been stopping it. If the waiter tried to stop the tray after it had been rotating, the cup could have …show more content…

This question can be answered by having an understanding of centripetal acceleration and centripetal force. Centripetal force described as “the force that keeps an object in its uniform circular motion.”5 The centripetal force in the Greek Waiters Tray is provided by the waiter’s arm.6 Centripetal acceleration is described as “the acceleration needed to keep an object moving in circular motion.”7 The centripetal acceleration is provided by the plate of the Greek Waiters Tray. As the Greek Waiters Tray is begins to be swung through a rotation the The cup will stay on the plate throughout the entire rotation because it will be moving in a circular motion. We can see that moving in a circular motion will cause it to stay on the plate because of the equation v= ωr. This equation relates the angular velocity (ω) and the linear velocity (v). When the cup is placed at the very center of the plate the radius (r) will equal zero. When zero is put into the equation for r, the right side of the equation will equal zero, leaving us with the equation v=0. Because v is the linear velocity, we can see that the cup will not move in a straight line, rather a circular …show more content…

In this position the cup and plate will be sideways but they will not fall off of the tray. The cup will stay on the plate because of the centripetal acceleration acting on it. With the cup in the center of the tray, since centripetal acceleration is always directed toward the center of an object, it will have equal amounts of centripetal acceleration action on it. Without the centripetal acceleration the cup would continue to move in a straight path due to its inertial tendency. This can be illustrated by thinking about what happens when a car takes a sudden turn. The passengers will continue to move in a straight line until acted on by an outside force, such as the car door or another

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