Solved: Questions concern a classic figure-skating jump

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Problem 31MCQ Chapter 6

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Calculus: Early Transcendentals | 1st Edition

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Problem 31MCQ

Questions concern a classic figure-skating jump called the axle. A skater starts the jump moving forward as shown in Figure, leaps into the air, and turns one-and-a-half revolutions before landing. The typical skater is in the air for about 0.5 s, and the skater’s hands are located about 0.8 m from the rotation axis. FIGURE 31 What is the approximate angular speed of the skater during the leap? A. 2 rad/s B. 6 rad/s C. 9 rad/s D. 20 rad/s

Step-by-Step Solution:

Solution Step 1 of 3 Angular displacement (d) When a particle moves along the circumference of the circle, the radius drawn from the center of the particle position rotates through a certain angle. The angle through which the radius turns is called angular displacement (d). The SI unit of angular displacement is radian (rad). Angular speed() The rate at which the body rotates or angular position of the body changes is called Angular speed. It is given by, d = Angular displacement / time taken= dt radians/Sec Where, is the angular speed,d is the angular displacement and dt is the time taken. Step 2 of 3 In the given problem, the skater performs uniform circular motion. He undergoes one and half revolution in 0.5 sec before landing. Given data, Time interval, dt= 0.5 sec Since,for one complete revolution skater covers 2rad distance, Therefore for 1 and half revolution Displacement d=(1.5)2rad d=3rad To find, Angular speed =

Step 3 of 3

Chapter 6, Problem 31MCQ is Solved
Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

The full step-by-step solution to problem: 31MCQ from chapter: 6 was answered by Sieva Kozinsky, our top Calculus solution expert on 03/03/17, 03:45PM. Calculus: Early Transcendentals was written by Sieva Kozinsky and is associated to the ISBN: 9780321570567. Since the solution to 31MCQ from 6 chapter was answered, more than 546 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. The answer to “Questions concern a classic figure-skating jump called the axle. A skater starts the jump moving forward as shown in Figure, leaps into the air, and turns one-and-a-half revolutions before landing. The typical skater is in the air for about 0.5 s, and the skater’s hands are located about 0.8 m from the rotation axis. FIGURE 31 What is the approximate angular speed of the skater during the leap? A. 2 rad/s B. 6 rad/s C. 9 rad/s D. 20 rad/s” is broken down into a number of easy to follow steps, and 80 words. This full solution covers the following key subjects: RAD, skater, figure, jump, air. This expansive textbook survival guide covers 85 chapters, and 5218 solutions.

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