3. An athlete pushes against an exercise machine with a force that varies with time according to F(t) = 1200 N (1 – k f), where k = 8 s² Also, the velocity of the athlete's legs acting in the same direction as the force acts according to v(t) = 7 m/s² t a. Create a computer generated plot of the power as a function of time. b. Find the maximum power the athlete generates and the time at which maximum power is generated.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
icon
Related questions
Question
3. An athlete pushes against an exercise machine with a force that varies with time according to
F(1) = 1200 N (1 – kf), where k = 8 s?
Also, the velocity of the athlete's legs acting in the same direction as the force acts according to
v(t) = 7 m/s² t
a. Create a computer generated plot of the power as a function of time.
b. Find the maximum power the athlete generates and the time at which maximum power is
generated.
Transcribed Image Text:3. An athlete pushes against an exercise machine with a force that varies with time according to F(1) = 1200 N (1 – kf), where k = 8 s? Also, the velocity of the athlete's legs acting in the same direction as the force acts according to v(t) = 7 m/s² t a. Create a computer generated plot of the power as a function of time. b. Find the maximum power the athlete generates and the time at which maximum power is generated.
Expert Solution
Step 1

(a)

Given -

F = 1200(1- kt2) N

Where k =8 

So,

F = 1200(1- 8t2) N

Velocity (v) = 7t m/s

 

Now,

Power (P) = Force x Velocity = F x v

(P) = 1200(1- 8t2) x 7t 

(P) =8400×t-8t3 Watt

 

 

 

 

 

 

 

 

 

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 2 images

Blurred answer
Knowledge Booster
Dimensional Analysis
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY