SOLUTION: Please help me solve this problem An airplane propeller measures 8 feet from tip to tip it rotates at the rate of 1800rpm . Find its angular velocity in radians per second. Find

Algebra ->  Trigonometry-basics -> SOLUTION: Please help me solve this problem An airplane propeller measures 8 feet from tip to tip it rotates at the rate of 1800rpm . Find its angular velocity in radians per second. Find      Log On


   

Question 1139105: Please help me solve this problem
An airplane propeller measures 8 feet from tip to tip it rotates at the rate of 1800rpm . Find its angular velocity in radians per second. Find the linear speed of a point on the tip of one of the blades, assuming the airplane itself is not in motion .
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
An airplane propeller measures 8 feet from tip to tip:=> diameter is d=8ft =>r=4ft+
it rotates at the rate of 1800%28rev%2Fmin%29
Find its angular velocity in radians per second.
angular velocity is:
w=1800%28rev%2Fmin%29%2A%282pi%2Arad%2F1rev%29
w=3600%28%28pi%2Arad%29%2Fmin%29......1min=60s
w=3600%28%28pi%2Arad%29%2F60s%29
w=60%28%28pi%2Arad%29%2Fs%29

Find the linear speed of a point on the tip of one of the blades, assuming the airplane itself is not in motion .
linear speed v=r%2Aw
v=4ft%2A60%28%28pi%2Arad%29%2Fs%29
v=240%28%28pi%2Aft%2Arad%29%2Fs%29