SOLUTION: A song on a 45 rpm record was 270 seconds long. How many degrees did the record rotate during the song?

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Question 576243: A song on a 45 rpm record was 270 seconds long. How many degrees did the record rotate during the song?
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
Each rotation is 360° so 45rpm = 45×360° rotations/minute

We convert 45 revolutions/minute to degrees/second

We begin with this fraction:



Each revolution is 360 degrees, so we multiply by this unit fraction .  So we have:

×  

Each minute is 60 seconds so we multiply by the unit fraction AMP Parsing Error of [1min/(60sec)]: Invalid function ')': opening bracket expected at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 70.
.


××AMP Parsing Error of [(1min)/(60sec)]: Invalid function ')': opening bracket expected at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 70.
.


We cancel the rev's and the min's

××AMP Parsing Error of [1cross(min)/(60sec)]: Invalid function ')': opening bracket expected at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 70.
.


AMP Parsing Error of [deg/(sec)]: Invalid function ')': opening bracket expected at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 70.
.


That comes out to 

270 degrees per second.

So 270 seconds at 270 degrees per second is a rotation through 270×270
or 72900 degrees.

Edwin
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