Concept explainers
A speed skater increases her speed from 10 m/s to 12.5 m/s over a period of 3 s while coming out of a curve of 20-m radius. What are the magnitudes of her radial, tangential, and total accelerations as she leaves the curve? (Remember that ar and at are the
To determine: The radial acceleration of the skater.
Answer to Problem 10AP
The magnitude of radial acceleration is
Explanation of Solution
Calculation:
Express the relation for radial acceleration.
Here,
Substitute
Therefore, the magnitude of radial acceleration is
Therefore, the magnitude of radial acceleration is
To determine: The tangential acceleration of the skater.
Answer to Problem 10AP
The magnitude of tangential acceleration is
Explanation of Solution
Calculation:
Express the relation for tangential acceleration.
Here,
Substitute
Therefore, the magnitude of tangential acceleration is
Therefore, the magnitude of tangential acceleration is
To determine: The total acceleration of the skater.
Answer to Problem 10AP
The magnitude of total acceleration is
Explanation of Solution
Calculation:
Express the relation for total acceleration.
Here,
Substitute
Therefore, the magnitude of total acceleration is
Therefore, the magnitude of total acceleration is
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Chapter 11 Solutions
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