Determining Angular Speed of High-Speed Sander

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The angular speed of a high-speed sander's disk, with a radius of 4.00 cm and rotating at 1100 revolutions per minute, is calculated to be approximately 36.6 radians per second. This is derived by converting the revolutions into radians, where one revolution equals 2π radians. Multiplying 1100 revolutions by 2π gives 2200π radians per minute. Dividing this value by 60 converts it to radians per second. The disk's high angular speed indicates it completes over 36 full rotations every second.
elemnt55
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A high-speed sander has a disk 4.00 cm in radius that rotates about its axis at a constant rate of 1100 revolutions per minute. Determine the angular speed of the disk in radians per second.

I get angular displacement / Time = 360rad/.0545454s

180=pi*rad <= need help figuring out radians of problem
 
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one revolution = 2 * \pi radians
 


The angular speed of the disk can be calculated by converting the 1100 revolutions per minute to radians per second. We know that one revolution is equal to 2π radians, so 1100 revolutions per minute would be 1100*2π = 2200π radians per minute. To convert this to radians per second, we divide by 60, which gives us an angular speed of approximately 36.6 radians per second. This means that the disk is rotating at a very high speed, completing over 36 full rotations every second.
 
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