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ramirecinthi24
20.09.2020 •
Physics
A 16-cm-long straight line connects the center of a turntable to its edge. The turntable rotates counter-clockwise at 45 rpm. A bug crawls along the line from the turntable’s center at 3.5 cm s relative to the turntable. Assume it is initially moving in the positive x direction. At the moment the bug gets to the edge, what are the x and y components of the velocity of the bug?
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Ответ:
Explanation:
Given that:
The radius of the table r = 16 cm = 0.16 m
The angular velocity = 45 rpm
=![45 \times \dfrac{1}{60}(2 \pi)](/tpl/images/0771/1291/e584a.png)
= 4.71 rad/s
However, the relative velocity of the bug with turntable is:
v = 3.5 cm/s = 0.035 m/s
Thus, the time taken to reach the bug to the end is:
t = 4.571s
So the angle made by the radius r with the horizontal during the time the bug gets to the end is:
Now, the velocity components of the bug with respect to the table is:
Also, for the vertical component of the velocity![V_y](/tpl/images/0771/1291/0dfbd.png)
Ответ:
2 hours
Explanation: