The propeller of an airplane is 9 feet in diameter. What is the speed of the tip of a propeller blade if the angular velocity of the propeller is 50 radians per second?
Question
The propeller of an airplane is 9 feet in diameter. What is the speed of the tip of a propeller blade if the angular velocity of the propeller is 50 radians per second?
Solution
To find the speed of the tip of a propeller blade, we can use the formula:
Speed = Angular velocity * Radius
First, we need to find the radius of the propeller. The diameter of the propeller is given as 9 feet, so the radius is half of that, which is 4.5 feet.
Next, we can substitute the given values into the formula:
Speed = 50 radians/second * 4.5 feet
Now, we can calculate the speed:
Speed = 225 feet/second
Therefore, the speed of the tip of the propeller blade is 225 feet per second.
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