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An airplane propeller rotates 1000 times per min. Find the number of degrees that a point on the edge of the propeller will rotate in 1 sec.

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An airplane propeller rotates 1000 times per min. Find the number of degrees that a point on the edge of the propeller will rotate in 1 sec.

Guest Sep 1, 2014

#1
+92751
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$$\frac{1000rotations }{1min}\\\\ =\frac{1000rotations }{60seconds}\\\\ =\frac{50rotations }{3seconds}\\\\ \mbox{Now use the units to help you}\\\\ \frac{360degrees}{rotation}\times \frac{50 rotations}{3 seconds}\\\\ =\mbox{The rotations cancel out leaving you with }\\\\ =\frac{360*50}{3}degrees/second\\\\ =120*50\;degrees/second\\\\ =6000\;degrees/second\\\\$$

Melody  Sep 2, 2014
#1
+92751
+5
$$\frac{1000rotations }{1min}\\\\ =\frac{1000rotations }{60seconds}\\\\ =\frac{50rotations }{3seconds}\\\\ \mbox{Now use the units to help you}\\\\ \frac{360degrees}{rotation}\times \frac{50 rotations}{3 seconds}\\\\ =\mbox{The rotations cancel out leaving you with }\\\\ =\frac{360*50}{3}degrees/second\\\\ =120*50\;degrees/second\\\\ =6000\;degrees/second\\\\$$