SOLUTION: For my robotics class I am to create a carousel that has a radius of 7 3/4" to 8". I need to be able to calculate what the spacing and angle would be such that it will accommodate
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-> SOLUTION: For my robotics class I am to create a carousel that has a radius of 7 3/4" to 8". I need to be able to calculate what the spacing and angle would be such that it will accommodate
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Question 814965: For my robotics class I am to create a carousel that has a radius of 7 3/4" to 8". I need to be able to calculate what the spacing and angle would be such that it will accommodate x number of slots that are 1/2" wide. What angles would I need to have these slots placed at to hold 100, 150, 200, or 300 items? I then need to know the how fast it is for one complete revolution so that I can use a stepper motor to move from slot to slot. I have that part figured out based upon the below equation.
A carousel has a radius of 19 feet and takes 30 seconds to make one complete revolution. What is the linear speed of the carousel at its outside edge? Express the answer in feet per second.
.
The circumference is:
(pi)D
or
(pi)2(r)
(3.14)(2)(19) = 119.32 feet
.
Now, it's a matter of unit conversion:
1rev/30sec * 119.32feet/rev
= 119.32/30
= 3.98 feet/sec
You can have an number of slots in the range that are inch wide or you can have slots that have a width in the range . Once you have figured out how many slots you are going to have, divide 360 degrees by that number to get the angles.
John
My calculator said it, I believe it, that settles it
