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Answer to Question #4849 in Mechanics | Relativity for Chalani Jayawardena

Question #4849
An object that has a weight of 0.04kg,moves in a circle with a 5rads-1 angular velocity .Find the speed ,kinetic energy and the periodic time of the object.
Expert's answer
This problem lacks radius data. For example with angular velocity
lt;img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAD4AAAAiCAIAAACIt/3zAAABMUlEQVRYhe2X2xGEIAxFU1cKSj2pJs2kmOwHDwPi6jgs4I7nZyXj4JG5QRbsscBsgfu86jN41Wfwqo9CGQGAxOxx6mbKGMznqqc1DL/I6qoArtQszlQXZlXGICOErEExugnFZJTF/DqTA6OMyS+Nk1phvi+OVxfOGahV4jhYCgGQmIpouzhA3YW0im/DPNgBABC7/DeLY9QL3W78ibprh8bwJgPU6143c02zkzng9O6eLwFZ0m+i+/20C0L5K25mdrQApzh1r3h03YWuE4JZseZFSHy9fP71wPxYfZtRGRHj+UaoQzYL2S4zZlzWw64v26DHU37XpbPPMPdRfqq6Mj5V3RYNTO68xv62saB6PoAo07e2XlC9/PN8zHLqean3Z/mK5dS3nJ99BJZTv86rPoMPSf37UQlbpBAAAAAASUVORK5CYII=" alt="">
which means that object passes 5 radian angle in 1 second, it could move on a plate-size trajectory or on the earth-size trajectory. It’ s obvious that linear speed would be rather different.

Let’s suppose radius r=1m
Then m=0.04kg
r=1m
<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAD4AAAAiCAIAAACIt/3zAAABMUlEQVRYhe2X2xGEIAxFU1cKSj2pJs2kmOwHDwPi6jgs4I7nZyXj4JG5QRbsscBsgfu86jN41Wfwqo9CGQGAxOxx6mbKGMznqqc1DL/I6qoArtQszlQXZlXGICOErEExugnFZJTF/DqTA6OMyS+Nk1phvi+OVxfOGahV4jhYCgGQmIpouzhA3YW0im/DPNgBABC7/DeLY9QL3W78ibprh8bwJgPU6143c02zkzng9O6eLwFZ0m+i+/20C0L5K25mdrQApzh1r3h03YWuE4JZseZFSHy9fP71wPxYfZtRGRHj+UaoQzYL2S4zZlzWw64v26DHU37XpbPPMPdRfqq6Mj5V3RYNTO68xv62saB6PoAo07e2XlC9/PN8zHLqean3Z/mK5dS3nJ99BJZTv86rPoMPSf37UQlbpBAAAAAASUVORK5CYII=" alt="">
<img src="data:image/png;base64,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" alt="">
<img src="data:image/png;base64,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" alt="">
<img src="data:image/png;base64,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" alt="">

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