How Do You Calculate Average Angular Acceleration from Revolutions?

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Homework Help Overview

The problem involves calculating the average angular acceleration of a turntable that accelerates from rest to an angular speed of 45 revolutions per minute (rev/min) over a time period of 1.5 seconds. The subject area pertains to rotational motion and angular kinematics.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the conversion of angular speed from revolutions to radians, with some emphasizing the need to convert from rev/min to rad/sec. There is a focus on understanding the correct units and the implications of using revolutions instead of degrees.

Discussion Status

The discussion is ongoing, with participants providing guidance on the conversion process and questioning the assumptions made in the original poster's calculations. There is no explicit consensus yet, as different interpretations of the conversion process are being explored.

Contextual Notes

There is a noted confusion regarding the conversion of units, particularly between revolutions and radians, which is central to the problem. The original poster's approach to unit conversion is under scrutiny.

BrainMan
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Homework Statement


A turntable moves from rest to an angular speed of 45 rev/min in 1.5 s. What is its average angular acceleration?


Homework Equations


ω = ωo + \alphat


The Attempt at a Solution


I first converted 45 to radians by multiplying it by pi
45(3.14152654)/180 = .79 rad
then I plugged it into the above equation
.79 = α(1.5)
α = .53 r/s2
The actual answer is pi r/s2
 
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Your conversion is where the problem is. You want to convert from rev/min to rad/sec

First let's convert from rev/min to rad/min:

How many radians are in 1 revolution?
 
Nathanael said:
Your conversion is where the problem is. You want to convert from rev/min to rad/sec

First let's convert from rev/min to rad/min:

How many radians are in 1 revolution?
2 pi
 
BrainMan said:
2 pi

So if I have 45\frac{rev}{min} how many \frac{radians}{min} will it be?
 
BrainMan said:
I first converted 45 to radians by multiplying it by pi
45(3.14152654)/180 = .79 rad

That is how you convert 45 DEGREES into radians. But the number 45 has units of REVOLUTIONS, not degrees.
 

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