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fara0815
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Hello folks! I am about to finish the chapter "Circular motion" in my script but there is the following problem that is keeping me busy and I would very appreciate every help I can get!
A M10-Screw with a pitch of 1.5 mm (means, that the screw goes 1.5 mm per revolution into the thread) is being screwed into a thread with a constant angular speed of 360 deg/s. The screw's head has a diameter of 16mm.What is the veloctiy of a point on the outside diameter of the head and what is its acceleration?
According to my professor, the velocity is 50,29 mm/s and the acceleration is 0,3158 m/s^2.
For the veloctiy I got with :
[tex] f= 1/s [/tex]
[tex] w=2\pif= 6,28 \frac{rad}{s} [/tex]
[tex] v=wr= 6,28 \frac{rad}{s} 8 mm = 50,24 \frac{mm}{s} [/tex]
which is close but I assume that it is a three-dimensional problem ant I do not how to solve it in 3d.
A M10-Screw with a pitch of 1.5 mm (means, that the screw goes 1.5 mm per revolution into the thread) is being screwed into a thread with a constant angular speed of 360 deg/s. The screw's head has a diameter of 16mm.What is the veloctiy of a point on the outside diameter of the head and what is its acceleration?
According to my professor, the velocity is 50,29 mm/s and the acceleration is 0,3158 m/s^2.
For the veloctiy I got with :
[tex] f= 1/s [/tex]
[tex] w=2\pif= 6,28 \frac{rad}{s} [/tex]
[tex] v=wr= 6,28 \frac{rad}{s} 8 mm = 50,24 \frac{mm}{s} [/tex]
which is close but I assume that it is a three-dimensional problem ant I do not how to solve it in 3d.
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