(a)
To find: The angular speed of the rotor.
(a)
Answer to Problem 3T
The angular speed of the rotor is
Explanation of Solution
Given:
Length of the rotor blades of a helicopter are
Rotation per minute is
Formulas used:
Angular speed is
Calculation:
For one complete rotation a circle is covered.
Angle for one rotation is
In
Angle change will be,
In
Formula for angular speed is
Substitute
Thus the angular speed of the rotor is
(b)
To find: The linear speed of a point on the tip of a blade.
(b)
Answer to Problem 3T
The linear speed of the a point on the tip of a blade is
Explanation of Solution
Given:
Length of the rotor blades of a helicopter are
Rotation per minute is
Formulas used:
Linear speed is
Here
Conversion of
Calculation:
For
Angle for
In
Angle change will be,
In
The distance a point travels in time
Substitute
The distance travelled by blades in
Formula for linear speed is
Substitute
The linear speed of the a point on the tip of a blade is
Convert
Thus the linear speed of the a point on the tip of a blade is
Chapter 6 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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