Log in
HomeClass Notes1,200,000CA670,000

Kinesiology 2241A/B Lecture Notes - Lecture 20: Angular Acceleration, Gyration, Moment Of Inertia

32 views7 pages
greenkangaroo690
20 Mar 2018
School
Western University
Department
Kinesiology
Course
Kinesiology 2241A/B
Professor
Thomas Richard Jenkyn

For unlimited access to Class Notes, a Class+ subscription is required.

Document Summary

Right hand rule for rotatopn: figure out line of action for rotation, take our right hand, rotation goes from base of hand out of your fingertips, follow the direction that the fingers point. Angular speed and velocity: angular velocity is the vector "w" that points along the axis of rotation according to the right hand rule, the length of the vector is the angular speed. If we take "w1" and "w2" so close together that they are infinitessimally close together, then we lose no information: this is instantaneous angular acceleration: In lecture 9 we learned about the relationship between angular acceleration and torque: where torque and angular acceleration are both vectors in the same direction. "i" is the moment of inertia of the object and this is a scaler (i. e. only a magnitude: the book calls this the rotational inertia, so i will use this term as well.

Get access

Grade+
$40 USD/m
Billed monthly
Grade+
Homework Help
Study Guides
Textbook Solutions
Class Notes
Textbook Notes
Booster Class
10 Verified Answers
Class+
$30 USD/m
Billed monthly
Class+
Homework Help
Study Guides
Textbook Solutions
Class Notes
Textbook Notes
Booster Class
7 Verified Answers

Related Documents

Kinesiology 2241A/B Lecture Notes - Lecture 10: Angular Velocity, Radian, Human Body
browncoyote548
Kinesiology 2241A/B Lecture Notes - Lecture 9: Angular Acceleration, Newton Metre, Angular Velocity
tealplatypus460
Kinesiology 2241A/B Lecture Notes - Lecture 11: Centripetal Force, Angular Velocity, Bobsleigh
orangewombat616

Related Questions

The angular momentum vector of a precessing gyroscope sweeps out a cone as shown in the figure below. The angular speed of the tip of the angular momentum vector, called its precessional frequency, is given by ωp = τ/L, where τ is the magnitude of the torque on the gyroscope and L is the magnitude of its angular momentum. In the motion called precession of the equinoxes, the Earth's axis of rotation precesses about the perpendicular to its orbital plane with a period of 2.58 x 10^4 yr. Model the Earth as a uniform sphere and calculate the torque on the Earth that is causing this precession.

1. What is the difference between speed and velocity?
a. Speed is an average quantity while velocity is not.
b. Velocity contains information about the direction of motion while speed does not.
c. Speed is measured in mph, while velocity is measure in m/s.
d. The concept of speed applies only to objects that are neither. speeding up or slowing down, while velocity applies to every kind of motion.
e. Speed is used to measure how fast an object is moving in a straight line, while velocity is used for objects moving along curved paths.
2. The quantity 2.67 x 103 has how many significant figures?
a.1
b.2
c.3
d.4
e.5
3. If Libby walks 100 m to the right, then 200 m to the left, her net displacement vector points
a. to the right.
b. to the left.
c. has zero length.
d. cannot tell without more information.
4. Velocity vectors point
a. in the same direction as displacement vectors.
b. in the opposite direction as displacement vectors.
c. perpendicular to displacement vectors.
d. in the same direction as acceleration vectors.
e. velocity is not represented by a vector.
  1. An object moves clockwise with decreasing speed around an oval track. The velocity vectors at points G and H arc shown.

a. In the space at right, copy the velocity vectors  and  . From these vectors, determine the change in velocity vector .

b. If point H were chosen to lie closer to point G, describe how  would change (direction and magnitude).

 

c. Describe how you would determine the acceleration (direction and magnitude) at point

G. In the space at right, indicate the direction of the acceleration of the object at point G.

d. Copy  and  (placed "tail-to-tail") in the space at right. How does the angle between the acceleration and velocity vectors compare to 900? (i.e., Is the angle greater than, less than, or equal to 90°?)

e.

Generalize your results above and from tutorial to answer the following question:

For an object moving along a curved trajectory, how does the angle between the acceleration and velocity vectors compare to 90° if the object moves with (i) constant speed, (ii) increasing speed, and (iii) decreasing speed?