Concept explainers
a.
Calculate the angular speed of the engine.
a.
Answer to Problem 14RE
The angular speed of the engine is,
Explanation of Solution
Given: The data of the gear ratio is,
And the frequency of the engine is,
Calculation:
The frequency relation is defined as,
Where w is the angular speed of the engine.
Then,
b.
Calculate the angular speed of the wheels.
b.
Answer to Problem 14RE
The angular speed of the wheels is,
Explanation of Solution
Given: The data of the gear ratio is,
And the frequency of the engine is,
Calculation:
We know that the gear ratio is defined as,
Then, if the engine is in the fourth gear,
The angular speed of the wheels is,
c.
Calculate how fast car is travelling.
c.
Answer to Problem 14RE
The solution is,
Explanation of Solution
Given: The data of the gear ratio is,
And the frequency of the engine is,
Calculation:
The radius of the wheel is,
Then, the linear speed of the wheel is,
Then,
Chapter 6 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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