Concept explainers
a.
To find: the linear velocity in feet per second.
a.
Answer to Problem 37E
Explanation of Solution
Given information:
Angular velocity
Distance of the rider from the centre
Calculation:
The linear velocity can be evaluated as follows:
Thus the linear velocity is
b.
To find: the distance between the person from the center of the carousel.
b.
Answer to Problem 37E
9.9 feet
Explanation of Solution
Given information:
Angular velocity
Distance of the rider from the centre
Liner velocity of person inside the carousel
Calculation:
The angular velocity of both the persons i.e. sitting inside and outside of the carousel will be same. So first evaluate the angular velocity in radian per second as shown below.
Thus the angular velocity is
The distance from the center of the carousel to the person
Thus the distance is 9.9 feet.
c.
To find: the rate by which the rider on the outside going is faster than the rider on the inside.
c.
Answer to Problem 37E
Explanation of Solution
Given information:
Liner velocity of person inside the carousel
Linear velocity of carousel =
Calculation:
The linear velocity of carousel and that of person outside the carousel
Thus rate difference is
Chapter 6 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Additional Math Textbook Solutions
Thomas' Calculus: Early Transcendentals (14th Edition)
Precalculus (10th Edition)
University Calculus: Early Transcendentals (4th Edition)
Calculus and Its Applications (11th Edition)
Calculus: Early Transcendentals (3rd Edition)
University Calculus: Early Transcendentals (3rd Edition)
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