SOLUTION: Could you please help me solve this problem? The circular blade on a saw has a diameter of 7.5 inches and rotates at 2400 revolutions per minute. Find the linear speed of the saw

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Question 1004806: Could you please help me solve this problem?
The circular blade on a saw has a diameter of 7.5 inches and rotates at 2400 revolutions per minute. Find the linear speed of the saw (in feet per second) as it contacts the wood.
So far I have tried multiplying the 7.5 inches and the 2400 rpm to get 18000 inches per minute, then dividing by 12 to turn inches into feet. Then I multiplied it by 60 to turn minutes into seconds. My answer was 90,000 feet per second, a different answer than what my book says.

Found 2 solutions by josmiceli, josgarithmetic:
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
The circumference is:

in

----------------
This is like a problem where string is
wrapped around the cicumference and
is unwound at a certain speed. How many
feet of string unwinds in one second?
-------------------
inches of sawblade
passes by the wood in one minute
in/min
--------------------
[ ft/sec ] = [ in/min ] x [ ft/in ] x [ min/sec ]

ft/sec
Hope I got it

Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
One revolution is

----------for inches per minute

---------for feet per second

-------feet per second


Continue simplifying.








---------feet per second

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