The circular blade on a saw has a diameter of 7.5 inches and rotates at 2400 revolutions per minute.
A.) Find the angular speed in radians per second.
B.) Find the linear speed in of the saw teeth (in feet per second) as they contact the wood being cut.
2007-12-01 11:58:15 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
d = 7.5 inches
r = 3.75 inches
(2400 revolutions/minute)(1 minute/60 seconds)(2pi radians/revolution)
angular speed = 80*pi rad/s
b) Linear speed
We know the formula....
s = r*theta
Taking the derivative of the above we get
v = r*(angular speed)
3.75 inches (1 foot/12 inches) 80*pi rad/s
25*pi ft/s
2007-12-01 12:06:51 · answer #1 · answered by Anonymous · 0⤊ 0⤋
#revolutions * 2pi/60 = #radians/sec
v = r*w
2007-12-01 20:06:47 · answer #2 · answered by electric 3 · 0⤊ 0⤋
A) 125.6636
B)78.53975
2007-12-01 20:10:07 · answer #3 · answered by Charles C 7 · 0⤊ 0⤋