The angular position of a rod varies as 14t radians from time t = 0. The rod has two beads on it asshown in the following figure, one at 10 cm from the rotation axis and the other at 20 cm from the rotationaxis.Counterclockwise rotationAxis of rotation 10 cm20 cma. What is the instantaneous angular velocity of the rod at t = 6 s?168V rad/sb. What is the angular acceleration of the rod?28v rad/s2a =c. What are the tangential speeds of the beads at t = 6 s?Vred3360X m/sUblue560x m/sd. What are the tangential accelerations of the beads at t = 6 s?at,red1680x m/s2m/s2%3Dat,blue =e. What are the centripetal accelerations of the beads at t = 6 s?ac,redm/s2ac,bluem/s2

Since you have already got the answer to the sub-parts (a), and (b), we will solve the other three…

The angular position of a rod varies as 14t radians from time t =0. The rod has two beads on it as shown in the following figure, one at 10 cm from the rotation axis and the other at 20 cm from the rotation axis.

The angular position of a rod varies as 14t radians from time t =0. The rod has two beads on it as shown in the following figure, one at 10 cm from the rotation axis and the other at 20 cm from the rotation axis.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter10: Fixed-axis Rotation

Section: Chapter Questions

Problem 36P: The angular position of a rod varies as 20.0t2radians from time t=0 . The rod has two beads on it as...

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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

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The angular position of a rod varies as 14t radians from time t = 0. The rod has two beads on it as
shown in the following figure, one at 10 cm from the rotation axis and the other at 20 cm from the rotation
axis.
Counterclockwise rotation
Axis of rotation 10 cm
20 cm
a. What is the instantaneous angular velocity of the rod at t = 6 s?
168
V rad/s
b. What is the angular acceleration of the rod?
28
v rad/s2
a =
c. What are the tangential speeds of the beads at t = 6 s?
Vred
3360
X m/s
Ublue
560
x m/s
d. What are the tangential accelerations of the beads at t = 6 s?
at,red
1680
x m/s2
m/s2
%3D
at,blue =
e. What are the centripetal accelerations of the beads at t = 6 s?
ac,red
m/s2
ac,blue
m/s2

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