Rotating object angular velocity question

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Homework Help Overview

The discussion revolves around a problem involving the angular velocity of a rotating object, specifically calculating the total angle rotated in both radians and degrees after one minute, given an angular velocity of 10 radians per second.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants explore different calculations for the angle rotated, with some attempting to convert radians to degrees and questioning the validity of their results.

Discussion Status

There are multiple interpretations of the calculations being discussed, with participants providing various methods and questioning the results. Some guidance has been offered regarding the conversion between radians and degrees, but no consensus has been reached on the correct answer.

Contextual Notes

Participants express confusion regarding the calculations and the results, indicating a need for clarification on the relationships between angular velocity, time, and angle rotation.

pinnacleprouk
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Homework Statement



A rotating object has angular velocity 10radians/s. After one min through what angle has the object rotated in 1) radians 2) degrees



Homework Equations



Degrees = Radians x 180/Pi



The Attempt at a Solution



I have tried and only come up with an answer of 3600 which i know is wrong


3600 what?



Any help is appreciated

Thanks in advance!
 
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(rad/s)*(s)= radians

also, 1 min = 60 s.
 
So are we saying that 10*60 = 600 radians

Therefore 6.00 = d x Pi/180

6.00 = d x 0.0175

6.00/0.0175 = d

d = 343 degrees?
 
or is it... θ = (w0 + w)t/2

θ = (0+10) x 60/2

θ = 300 Degrees?

Thanks in advance
 
pinnacleprouk said:
So are we saying that 10*60 = 600 radians

and π radians is 180°

so 600 radians is?
 
How can it be 600 radians that does not make sense! I am sorry but I don't understand
 
pinnacleprouk said:
How can it be 600 radians that does not make sense! I am sorry but I don't understand

10 radians/s

in 1 s, object rotates 10 radians
in 60s...
 
so would the answer to the original question be

1) 600 Radians

2) 34377 Degrees

Thanks in advance
 

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