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.
1
Expert's answer
2011-10-28T11:00:50-0400
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="">
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