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How many revolutions equal pie radians?
One complete revolution is equal to (2\pi) radians. Therefore, to find out how many revolutions equal (\pi) radians, you divide (\pi) by (2\pi), which gives you (\frac{1}{2}). Thus, (\pi) radians is equivalent to half a revolution.
How far does the long hand travel in an hour?
The long hand makes one complete revolution around the clock in one hour. It travels 360 degrees in rotation, or 2 pi radians. The tip of the long hand travels 2 pi inches per inch of length of the hand. The center of the long hand ( pivot point) does not move at all, but travels 2 pi radians in rotation.
What type of an angle if there is one complete of a revolution?
An angle that is one complete revolution is called a full angle or a complete angle. It measures 360 degrees or 2π radians.
How many radians is one eighth of a circle?
Since an entire circle is 2π radians, 1/8 would be π/4
Suppose that a disk rotates through five revolutions in 4 seconds. What is its displacements in radians in this time?
To find the displacement in radians, you can use the fact that one complete revolution corresponds to (2\pi) radians. If the disk rotates through five revolutions, the total displacement is (5 \times 2\pi = 10\pi) radians. Therefore, the displacement of the disk in 4 seconds is (10\pi) radians.
