Rotating object angular velocity question

AI Thread Summary
A rotating object with an angular velocity of 10 radians per second rotates 600 radians in one minute, calculated by multiplying the angular velocity by the time (10 radians/s * 60 s). The conversion from radians to degrees is done using the formula Degrees = Radians x 180/Pi, which results in approximately 34377 degrees for 600 radians. There was confusion among participants regarding the calculations, with some questioning the validity of the 600 radians result. The discussion highlights the importance of correctly applying angular motion equations and unit conversions. Ultimately, the correct answers are 600 radians and 34377 degrees.
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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