Angular Motion - calculating rad.s and rev.min

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SUMMARY

The discussion focuses on calculating angular motion parameters for a round metal bar machined at a cutting speed of 90 m/min with a diameter of 80 mm. The key equations utilized include the relationship between linear velocity and angular velocity, expressed as v = rω, and the formula for angular acceleration, defined as a = Δω/Δt. The calculations yield the chuck speed in radians per second (rad/s) and revolutions per minute (rev/min), as well as the angular acceleration over a time interval of 3 seconds.

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Homework Statement



I have a question that I am unsure of how to answer

A round metal bar is machined at a cutting speed of 90.m.min, if the diameter of the bar is 80mm determine...

a. The chuck speed in rad.s and rev.min

If it takes 3s to get to this speed from rest (0)

b. What is the angular acceleration a?

Im not sure of relevant equations for this question, could someone help me work this out please?

Thank you sooo much.
 
Last edited:
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the linear velocity is related to the angular velocity by the equation v=rω.

Angular acceleration is the rate of change of angular velocity = dω/dt =Δω/Δt
 

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