Serway_PSE_quick_ch10

Serway_PSE_quick_ch10 - Physics for Scientists and...

Info iconThis preview shows pages 1–9. Sign up to view the full content.

View Full Document Right Arrow Icon
Physics for Scientists and Engineers, 6e Chapter 10 – Rotation of a Rigid Object about a Fixed Axis
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
A rigid object is rotating in a counterclockwise sense around a fixed axis. Each of the following pairs of quantities represents an initial angular position and a final angular position of the rigid object. Which of the sets can only occur if the rigid object rotates through more than 180°? 1 2 3 33% 33% 33% 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 1. 3 rad, 6 rad 2. -1 rad, 1 rad 3. 1 rad, 5 rad
Background image of page 2
For a rotation of more than 180 ° , the angular displacement must be larger than π = 3.14 rad. The angular displacements in the three choices are (1) 6 rad – 3 rad = 3 rad; (2) 1 rad – (-1) rad = 2 rad; (3) 5 rad – 1 rad = 4 rad.
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Suppose that the change in angular position for each of the pairs of values in question 1 occurs in 1 s. Which choice represents the lowest average angular speed? 1 2 3 33% 33% 33% 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 1. 3 rad, 6 rad 2. -1 rad, 1 rad 3. 1 rad, 5 rad
Background image of page 4
Because all angular displacements occur in the same time interval, the displacement with the lowest value will be associated with the lowest average angular speed.
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
A rigid object is rotating with an angular speed ω < 0. The angular velocity vector ω and the angular acceleration vector α are antiparallel. The angular speed of the rigid object is 1 2 3 4 25% 25% 25% 25% 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 1. clockwise and increasing 2. clockwise and decreasing 3. counterclockwise and increasing 4. counterclockwise and decreasing
Background image of page 6
The fact that ω is negative indicates that we are dealing with an object that is rotating in the clockwise direction. We also know that when ω and α are antiparallel, ω must be decreasing – the object is slowing down. Therefore, the object is spinning more and more slowly (with less and less angular speed) in the clockwise, or negative, direction.
Background image of page 7

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Consider again the pairs of angular positions for the rigid object. If the object starts from rest at the initial angular
Background image of page 8
Image of page 9
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 01/19/2010 for the course PHYS 200 taught by Professor Davies during the Spring '08 term at Roger Williams.

Page1 / 29

Serway_PSE_quick_ch10 - Physics for Scientists and...

This preview shows document pages 1 - 9. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online