Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
(g) In designing a new wheel with the same diameter and same ride duration as before it is proposed that the wheel's angular speed should not be constant but instead should take the form of 10 dt = 0.00049365 +0.5 in rad/sec during the first half of the ride when the rider is ascending and 10 = 0.017895 t-0.1882 in rad/sec during the second half, when the rider is descending. dt Determine the total angular displacement of the wheel between the time intervals of t = 250 sec and t = 600 sec. Also calculate the total curved distance that the rider travels between the times of t = 150 sec and t =720 sec.

(g) In designing a new wheel with the same diameter and same ride duration as before it is proposed that the wheel's angular speed should not be constant but instead should take the form of 10 dt = 0.00049365 +0.5 in rad/sec during the first half of the ride when the rider is ascending and 10 = 0.017895 t-0.1882 in rad/sec during the second half, when the rider is descending. dt Determine the total angular displacement of the wheel between the time intervals of t = 250 sec and t = 600 sec. Also calculate the total curved distance that the rider travels between the times of t = 150 sec and t =720 sec.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 51E
See similar textbooks
icon
Related questions
Question

With reference to the attached scenario and questions:

The 100 meter diameter wheel needs to be designed so that it rotates at a constant rate and every complete revolution takes 15 minutes. The wheel has been installed in a vertical plane and the lowest seat is 2m above the ground surface. Each ride consists of only one full rotation.

(g) In designing a new wheel with the same diameter and same ride duration as before it is proposed that the wheel's angular speed should not be constant but instead should take the form of de dt de = 0.00049365 t0.5 in rad/sec during the first half of the ride when the rider is ascending and = 0.017895 t-0.1882 in rad/sec during the second half, when the rider is descending. dt Determine the total angular displacement of the wheel between the time intervals of t = 250 sec and t = 600 sec. Also calculate the total curved distance that the rider travels between the times of t = 150 sec and t =720 sec. de (h) To make the ride more exciting it is proposed that the wheel should ascend in such a way that the rate of change of 0 with respect to t follows an exponential model of the form dt aekt during the first quarter of the ride and debe-mt during the second quarter with a, b, m and k all being constants. The same patterns are followed during the second half of the ride. The wheel diameter and ride duration still unchanged. Suggest possible values for the constants mentioned and use them to evaluate the angle through which a rider goes between the time intervals of t =100 sec and of t =300 sec
Transcribed Image Text:(g) In designing a new wheel with the same diameter and same ride duration as before it is proposed that the wheel's angular speed should not be constant but instead should take the form of de dt de = 0.00049365 t0.5 in rad/sec during the first half of the ride when the rider is ascending and = 0.017895 t-0.1882 in rad/sec during the second half, when the rider is descending. dt Determine the total angular displacement of the wheel between the time intervals of t = 250 sec and t = 600 sec. Also calculate the total curved distance that the rider travels between the times of t = 150 sec and t =720 sec. de (h) To make the ride more exciting it is proposed that the wheel should ascend in such a way that the rate of change of 0 with respect to t follows an exponential model of the form dt aekt during the first quarter of the ride and debe-mt during the second quarter with a, b, m and k all being constants. The same patterns are followed during the second half of the ride. The wheel diameter and ride duration still unchanged. Suggest possible values for the constants mentioned and use them to evaluate the angle through which a rider goes between the time intervals of t =100 sec and of t =300 sec
Scenario As a junior employee of a fairground and amusement company providing safe entertainment for the public, you have been assigned to the design and build team responsible to create various rides and fun activities at a theme park. Your employer wishes to build a giant wheel similar to the one shown in Figure 1
Transcribed Image Text:Scenario As a junior employee of a fairground and amusement company providing safe entertainment for the public, you have been assigned to the design and build team responsible to create various rides and fun activities at a theme park. Your employer wishes to build a giant wheel similar to the one shown in Figure 1
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

Can you please answer question H on the attached image. I think this got missed off the previous answer. 

Thanks

(g) In designing a new wheel with the same diameter and same ride duration as before it is proposed that the wheel's angular speed should not be constant but instead should take the form of de dt de = 0.00049365 t0.5 in rad/sec during the first half of the ride when the rider is ascending and = 0.017895 t-0.1882 in rad/sec during the second half, when the rider is descending. dt Determine the total angular displacement of the wheel between the time intervals of t = 250 sec and t = 600 sec. Also calculate the total curved distance that the rider travels between the times of t = 150 sec and t =720 sec. de (h) To make the ride more exciting it is proposed that the wheel should ascend in such a way that the rate of change of 0 with respect to t follows an exponential model of the form dt aekt during the first quarter of the ride and debe-mt during the second quarter with a, b, m and k all being constants. The same patterns are followed during the second half of the ride. The wheel diameter and ride duration still unchanged. Suggest possible values for the constants mentioned and use them to evaluate the angle through which a rider goes between the time intervals of t =100 sec and of t =300 sec
Transcribed Image Text:(g) In designing a new wheel with the same diameter and same ride duration as before it is proposed that the wheel's angular speed should not be constant but instead should take the form of de dt de = 0.00049365 t0.5 in rad/sec during the first half of the ride when the rider is ascending and = 0.017895 t-0.1882 in rad/sec during the second half, when the rider is descending. dt Determine the total angular displacement of the wheel between the time intervals of t = 250 sec and t = 600 sec. Also calculate the total curved distance that the rider travels between the times of t = 150 sec and t =720 sec. de (h) To make the ride more exciting it is proposed that the wheel should ascend in such a way that the rate of change of 0 with respect to t follows an exponential model of the form dt aekt during the first quarter of the ride and debe-mt during the second quarter with a, b, m and k all being constants. The same patterns are followed during the second half of the ride. The wheel diameter and ride duration still unchanged. Suggest possible values for the constants mentioned and use them to evaluate the angle through which a rider goes between the time intervals of t =100 sec and of t =300 sec
Solution
Bartleby Expert
SEE SOLUTION
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
SEE MORE TEXTBOOKS