A sphere, centred on the origin, has radius 31.7 cm, and is spinning at 3 revolutions per second with its axis of rotation along the z-axis. A point is chosen with position vector a = (9,-14, 27) cm on the surface of the sphere. a. Calculate the vector representing the angular velocity of the sphere, w, in rad/s.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter4: Two-and-three Dimensional Motion
Section4.6: Special Case Of Uniform Circular Motion
Problem 4.6CE: A particle travels at a uniform linear speed around a circle of radius r = 0.5 m, completing one...
icon
Related questions
Question
6
A sphere, centred on the origin, has radius 31.7 cm,
and is spinning at 3 revolutions per second with its
axis of rotation along the z-axis. A point is chosen
with position vector a = (9,-14, 27) cm on the surface
of the sphere.
a. Calculate the vector representing the angular
velocity of the sphere, c, in rad/s.
i+
(0)
k rad/s
V
b. Calculate the velocity v of point a in units of
ms-!
i+
k ms-
j+
Note the units given in the question.
j+
Transcribed Image Text:A sphere, centred on the origin, has radius 31.7 cm, and is spinning at 3 revolutions per second with its axis of rotation along the z-axis. A point is chosen with position vector a = (9,-14, 27) cm on the surface of the sphere. a. Calculate the vector representing the angular velocity of the sphere, c, in rad/s. i+ (0) k rad/s V b. Calculate the velocity v of point a in units of ms-! i+ k ms- j+ Note the units given in the question. j+
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Torque
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.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Physics for Scientists and Engineers: Foundations…
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
Classical Dynamics of Particles and Systems
Classical Dynamics of Particles and Systems
Physics
ISBN:
9780534408961
Author:
Stephen T. Thornton, Jerry B. Marion
Publisher:
Cengage Learning
University Physics Volume 1
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University