document.write( "Question 445877: Determine the linear velocity of a point rotating at an angular velocity of 8pie radians per second at a distance of 3 meters from the center of a rotating object \n" ); document.write( "
Algebra.Com's Answer #307235 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
Determine the linear velocity of a point rotating at an angular velocity of 8pie radians per second at a distance of 3 meters from the center of a rotating object
\n" ); document.write( "..
\n" ); document.write( "Using dimensional analysis to solve,
\n" ); document.write( "knowing the angular speed, radians covered by 1 revolution, distance traveled by 1 revolution=circumference 3 meters from center, and making sure the units cancel out properly.\r
\n" ); document.write( "\n" ); document.write( "..
\n" ); document.write( "(8π radians/sec)*(1 revolution/2π radians)*(2π*3 meters/1 revolution)
\n" ); document.write( "cancelling out radians and revolution
\n" ); document.write( "=(8π/sec)(1/2π)(6π meters)
\n" ); document.write( "=24π meters/sec (ans)
\n" ); document.write( "
\n" );