Angular Motion - calculating rad.s and rev.min

AI Thread Summary
To calculate the chuck speed in radians per second and revolutions per minute for a round metal bar with a diameter of 80mm and a cutting speed of 90 m/min, the relationship between linear velocity and angular velocity is used, expressed as v = rω. The radius is determined to be 0.04m, allowing the calculation of angular velocity (ω) in rad/s and rev/min. Additionally, to find the angular acceleration, the formula a = Δω/Δt is applied, using the time taken to reach the speed from rest. The discussion emphasizes the need for relevant equations to solve these problems effectively. Understanding these concepts is crucial for accurate calculations in angular motion.
fionahanson
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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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