Concept explainers
Check Your Understanding The fan blades on a turbofan jet engine (shown below) accelerate from rest up to a rotation rate of 40.0 rev/s in 20 s. The increase in
(a) What is the average
(b) What is the instantaneous angular acceleration at any time during the first 20 s?
(a)
The average angular acceleration of fan blades.
Answer to Problem 10.1CYU
The average angular acceleration of fan blades is
Explanation of Solution
Given:
The rate of rotation of wheel is,
The time taken to achieve the rotation rate is,
Formula used:
The average angular acceleration is given by,
Calculation:
The average angular acceleration is calculated as,
Conclusion:
The average angular acceleration of fan blades is
(b)
The instantaneous angular acceleration at any time during the first
Answer to Problem 10.1CYU
The instantaneous angular acceleration at any time during the first
Explanation of Solution
Formula used:
The instantaneous angular acceleration when the increase in the angular velocity is constant is given by,
Calculation:
The instantaneous angular acceleration is calculated as,
Conclusion:
The instantaneous angular acceleration at any time during the first
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