Equations of motions, revolutions of turntable

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Homework Help Overview

The problem involves a turntable that accelerates from rest to an angular speed of 45.0 rpm over a time interval of 2.1 seconds. The focus is on determining the angular acceleration and the total number of revolutions made during this time.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the conversion of angular speed from rpm to revolutions per second and the relationship between angular velocity and angular acceleration. There are inquiries about how to calculate the total number of revolutions made during the acceleration period.

Discussion Status

Some participants have successfully calculated the angular acceleration but are seeking assistance with the second part of the problem regarding the number of revolutions. Guidance has been offered to relate angular motion to kinematic equations, suggesting a potential approach to finding the solution.

Contextual Notes

There is a mention of breaking down the angular speed into revolutions per second, but some participants express difficulty in applying this to find the total revolutions. The discussion reflects a need for clarity on the conversion and application of angular motion concepts.

Jtappan
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Homework Statement



A turntable reaches an angular speed of 45.0 rpm, in 2.1 s, starting from rest.

(a) Assuming the angular acceleration is constant, what is its magnitude?
_2.24_rad/s2
(b) How many revolutions does the turntable make during this time interval?
______ rev


Homework Equations





The Attempt at a Solution



I am having trouble with the second part. I figured out magnitude of the angular acceleration but I don't remember how to find the revolutions. Anyone help?
 
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45RPM = 45 revolutions per minute. It seems that the question is asking you to find out how many revolutions the turntable makes in 2.1 seconds.
 
rpm stands for revolutions per minute right?
 
Anadyne said:
rpm stands for revolutions per minute right?

Yes.
 
Yea RPM means revolutions per minute...but I broke it up into Rev/s and I still couldn't find the right answer. What do I do? any tips?
 
Jtappan said:
Yea RPM means revolutions per minute...but I broke it up into Rev/s and I still couldn't find the right answer. What do I do? any tips?

Think of angular velocity and acceleration, the same way as velocities when you do kinemtics problems.

For example in kinematics we have:

d = [(v1+v2)/2]*t

here we have:

angle traversed = [(w1 + w2)/2]*t

here w1 = 0. w2 is 45.0 rpm in rad/s. and you have time.

once you have the angle, you can get the number of revolutions.
 

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