Activity Proper: Activity No. 1- Rotational Equilibrium and Rotational Dynamics: Problem Solving Rotational Quantities. Directions: Solve the following problems involving rotational quantities to review your knowledge in differentiation. 1. A fruit blender manufactured by a certain company is being tested. The angular position of the blender is: a() = (s* *(12 (0s )- rad 2+2 rad Suppose that t, = 1s and t, = 3 s. a. Find the angular position of the blender at both times. (t, = 1s is done for you.) Example with solution: The angular position at t, = 1 s is: 2/4 Page 2 of 4 ®(t = 1) = (5)(1 s)* + (1.2) (1 s)* + (0.5 (1 s)² + 2 rad = 8.7 radians Show your solution and answer for the angular position of the particle when t = 3 s. b. Find the angular velocity of the blender at both times. (t, = 1s is done for you.) Example with solution: Differentiating the given expression for the angular position, we get: rady rad wt) = (20 ) +(36 )+(1) The angular velocity at t, = 1s is: rady w(t = 1) = (20 ) (1 s)³ + (3.6 ) (1 s)² +(1) (1 s) = 24.6 d rad rad Show your solution and answer for the angular velocity of the particle when t2 = 3 s. c. Find the angular acceleration of the blender at both times. (t, = 1s is done for you.) Example with solution: The angular acceleration is the derivative of the angular velocity with respect to time. Hence, at) = (60 ) +(2 ) +(1) t2+ The angular acceleration at t, = 1s is: rad rady rad a(t = 1) = (60 ) (1 s)² +(7.2 ) (1 5) + (1 ) = 68.2 ! Show your solution and answer for the angular acceleration of the particle when t2 = 3 s.
Activity Proper: Activity No. 1- Rotational Equilibrium and Rotational Dynamics: Problem Solving Rotational Quantities. Directions: Solve the following problems involving rotational quantities to review your knowledge in differentiation. 1. A fruit blender manufactured by a certain company is being tested. The angular position of the blender is: a() = (s* *(12 (0s )- rad 2+2 rad Suppose that t, = 1s and t, = 3 s. a. Find the angular position of the blender at both times. (t, = 1s is done for you.) Example with solution: The angular position at t, = 1 s is: 2/4 Page 2 of 4 ®(t = 1) = (5)(1 s)* + (1.2) (1 s)* + (0.5 (1 s)² + 2 rad = 8.7 radians Show your solution and answer for the angular position of the particle when t = 3 s. b. Find the angular velocity of the blender at both times. (t, = 1s is done for you.) Example with solution: Differentiating the given expression for the angular position, we get: rady rad wt) = (20 ) +(36 )+(1) The angular velocity at t, = 1s is: rady w(t = 1) = (20 ) (1 s)³ + (3.6 ) (1 s)² +(1) (1 s) = 24.6 d rad rad Show your solution and answer for the angular velocity of the particle when t2 = 3 s. c. Find the angular acceleration of the blender at both times. (t, = 1s is done for you.) Example with solution: The angular acceleration is the derivative of the angular velocity with respect to time. Hence, at) = (60 ) +(2 ) +(1) t2+ The angular acceleration at t, = 1s is: rad rady rad a(t = 1) = (60 ) (1 s)² +(7.2 ) (1 5) + (1 ) = 68.2 ! Show your solution and answer for the angular acceleration of the particle when t2 = 3 s.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
Related questions
Question
Transcribed Image Text:1. You are encouraged to use a calculator (i.e. scientific calculator) in solving.
2. If the spaces provided are not enough, you may write and show your solutions on
another sheet/s of paper.
3. The activities presented here will help you in the attainment of the learning
competencies. Read every instruction and do each activity with understanding.
Activity Proper:
Activity No. 1- Rotational Equilibrium and Rotational Dynamics: Problem Solving
Rotational Quantities. Directions: Solve the following problems involving rotational
quantities to review your knowledge in differentiation,
1. A fruit blender manufactured by a certain company is being tested. The angular
position of the blender is:
=(s)*+(12)* + (0,5) + rad
Suppose that t, = 1s and t, = 3 s.
a. Find the angular position of the blender at both times. (t, = 1s is done for
you.)
Example with solution:
The angular position at t, = 1 s is:
2/4
Page 2 of 4
rad
®(t = 1) = (5) (1 s)* + (1.2 ) (1 s)³ + (0.5 ) (1 s)? + 2 rad = 8.7 radians
rad
rad
Show your solution and answer for the angular position of the particle
when t2 = 3 s.
b. Find the angular velocity of the blender at both times. (t, = 1s is done for you.)
Example with solution:
Differentiating the given expression for the angular position, we get:
w(t) = (20 ) +(36 )* +(1)
The angular velocity at t, = 1s is:
rad
rad
rad
rad
w(t = 1) = (20 ) (1 s)³ + (3.6 ) (1 s)² + (1) (1 s) = 24.6-
Show your solution and answer for the angular velocity of the particle
when t2 = 3 s.
c. Find the angular acceleration of the blender at both times. (t, = 1s is done for
you.)
Example with solution:
The angular acceleration is the derivative of the angular velocity with respect
to time. Hence,
at)= (60 ) + (72 ) (1)
radv
The angular acceleration at t, = 1s is:
rad
|= 68.2
52
a(t = 1) =
(1 s)? +
Show your solution and answer for the angular acceleration of the
particle when t2 = 3 s.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Recommended textbooks for you
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON