Part CWhat is the maximum positive angular velocity?Express your answer in radians per second.W =rad/sPart DAt what value of t does it occur?Express your answer in seconds.ΑΣφ?t =S A roller in a printing press turns through an angle 0 (t) givenby 0 (t) = yt? – Bt3, where y=3.20 rad/s? andB=0.500rad/s.Part ACalculate the angular velocity of the roller as a function of time.O (6.40 rad/s?)t³ – (1.50 rad/s)t?O (6.40 rad/s?)t – (1.50 rad/s )t?O (7.40 rad/s²)t – (2.30 rad/s³ )t?O (6.40 rad/s )tPart BCalculate the angular acceleration of the roller as a function of time.O (6.50rad/s?)t3 – (4.00rad/s®)tO (7.40rad/s?) – (3.90rad/s')t?O (6.40rad/s²) – (3.00rad/s³)tO (6.00rad/s²) – (1.50rad/s³)tPart C

Answer Part A (B) (6.4rad/s2)t - (1.5rad/s3)t2 Part B (c)…

Answered: A roller in a printing press turns…

A roller in a printing press turns through an angle 0 (t) given by 0 (t) = yt2 - Bt³, where y-3.20 rad/s and B=0.500rad/s".

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter10: Rotational Motion

Section: Chapter Questions

Problem 9P

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Concept explainers

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.

Question

Part C
What is the maximum positive angular velocity?
Express your answer in radians per second.
W =
rad/s
Part D
At what value of t does it occur?
Express your answer in seconds.
ΑΣφ
?
t =
S

A roller in a printing press turns through an angle 0 (t) given
by 0 (t) = yt? – Bt3, where y=3.20 rad/s? and
B=0.500rad/s.
Part A
Calculate the angular velocity of the roller as a function of time.
O (6.40 rad/s?)t³ – (1.50 rad/s)t?
O (6.40 rad/s?)t – (1.50 rad/s )t?
O (7.40 rad/s²)t – (2.30 rad/s³ )t?
O (6.40 rad/s )t
Part B
Calculate the angular acceleration of the roller as a function of time.
O (6.50rad/s?)t3 – (4.00rad/s®)t
O (7.40rad/s?) – (3.90rad/s')t?
O (6.40rad/s²) – (3.00rad/s³)t
O (6.00rad/s²) – (1.50rad/s³)t
Part C

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