the propeller on a motorboat is rotating at 130 radians per second. what is the linear velocity in meters per second if the blade is 22.5 cm long

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AL2006

Well, let's see.  My main problem here is how to lay it out clearly for you.

-- Do you remember the definition of a 'radian' ?  A radian is an angle, that's
just the right size to cut one radius-length arc out of the curve of the circle.

-- So every radian of spin moves the tip of the propeller a distance that's
equal to the radius of the circle.

-- Now the radius of the circle that the tip of the propeller traces
is the length of the propeller blade ... 22.5 cm .

-- 130 radians per second means the tip of the propeller is traveling
the length of the circle's radius 130 times a second.

-- (130) x (22.5 cm) = 2,925 centimeters/second = 29.25 meters/second.

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