Suppose youâ€™re eating in yet another restaurant where the dishes are shared at the table and...

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Physics

Suppose youâ€™re eating in yet another restaurant where the dishesare shared at the table and all placed uniformly on a rotatingdisk-like surface. Model this surface as a thin disk of radius 46.3cm. Someone else has spun the surface, such that it is initially atan angular speed of 0.4 rev/s. The surface and food has a combinedmass of 4.2 kg. The waiter, to show off, throws a new dish ofdumplings (mass 0.9 kg) onto the surface at a speed of 0.7 m/s,such that the dish lands on and sticks to the very edge of thesurface moving in the same direction as the rotating food. Whilethis is happening, you quickly calculate the final angular speed ofthe food so that you can predict its location at any time beforeothers have a chance to eat the dumplings. What is this speed, inrad/s?

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3.9 Ratings (597 Votes)

Since there are no external torques for the system of disc andthe new dish angular momentum is conservedAngular momentumIwhere I is moment of inertia and is angular velocityAlso angular momentummvr where m is mass v See Answer

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