You slipped a
decimal somewhere.
The speed at
the tip distance divided by time. At 3600 RPM and 24" dia (to make it
even, 2' dia and 1' radius) you get 3.14159 * 1' or
3.14159' per
revolution *2 for the circumference. 3600 revolutions per minute is 21,600
revolutions per hour * 2* 3.14199' per revolution is
1357166' per
hour. There are 5,280' per mile, so 135,7166/5280= 257 miles per hour.
If you take a different diameter or RPM you will get a proportionally
different speed.
With 29" and
7000 RPM I get 29" / (12"/ft) * 3.14159 *7000 (RPM) *60 (Minutes/hour)
/5280 (feet/mile)= 603 MPH .... REAL FAST, the speed
of sound is
about 720 MPH at sea level and 70 deg. F!
BTW, as an
ex-pilot, tip speeds on a 72-84" dia prop (small plane) start going supersonic
at about 2800 RPM depending on altitude (the
speed of
sound drops with altitude). Nobody wants a mower turning THAT
fast!
Larry
Elie
-----Original Message-----
From: Christopher Meier [mailto:mr23 mn rr com] Sent: Wednesday, August 27, 2003 10:09 PM To: elec-trak cosmos phy tufts edu Subject: Re: (ET) Mower blade speed I tossed in 29" diameter and found
that it took over 7000 rpm to make
the recommended speed; what blades can be run at
that speed and
last? Or won't they fatigue? I've seen
car water pump fan blades
that fatigued (developed cracks, some came apart
destructively to
their surroundings) when run in excess of 7000
(engine rpm, don't
know what the blade rpm was, anyone have a vehicle
with the older
style water pump mounted fans that could measure
the pulley ratio?).
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