SOLUTION: The two pulleys in the figure have a radii of 15cm and 8 cm. The larger pulley rotates 25 times in 36 seconds. Find the angular speed of each pulley in Rad/per sec. I don't kno

Question 848185: The two pulleys in the figure have a radii of 15cm and 8 cm. The larger pulley rotates 25 times in 36 seconds. Find the angular speed of each pulley in Rad/per sec.
I don't know how to even start i'm not sure what formulas to use V=r(W) or what the angular speed formula is. Please help by explaining and showing steps so I can do my other similar problems.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
The two pulleys in the figure have a radii of 15cm and 8 cm. The larger pulley rotates 25 times in 36 seconds. Find the angular speed of each pulley in Rad/per sec.
I don't know how to even start i'm not sure what formulas to use V=r(W) or what the angular speed formula is.
***
For larger 15 cm pulley:
rev=revolution
rad=radians
c=circumference
..
convert given 259(rev/36sec) to (rad/sec)
AMP Parsing Error of [angular speed=25(rev/36sec)*2(pi)(rad/rev)]: Invalid function ')*2(pi)(rad/rev)': opening bracket expected at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 70. .
rev cancel out
AMP Parsing Error of [angular speed=(25*2(pi)/36)(rad/sec)=4.36(rad/sec)]: Invalid function ')=4.36(rad/sec)': opening bracket expected at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 70. .

..
For smaller 8 cm pulley:

AMP Parsing Error of [linear speed of 15 cm pulley=25(rev/36sec)*30(pi)(cm/rev)=750(pi)cm/36sec]: Invalid function ')*30(pi)(cm/rev)=750(pi)cm/36\sec': opening bracket expected at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 70. .
AMP Parsing Error of [angular speed=(750(pi)cm/36sec)*(rev/16(pi)cm)=(750/576)(rev/sec)*(2(pi)rad/rev)=8.18 (rad/sec)]: Invalid function ')*(rev/16(pi)cm)=(750/576)(rev/sec)*(2(pi)rad/rev)=8.18(rad/sec)': opening bracket expected at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 70. .
Note: a shortcut would use the fact that for the same linear speed, angular speed is inversely proportional to the radii of both pulleys.
For example:
15/8≈1.87..
8.18/4.36≈1.87..

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