The angular acceleration of a wheel is a = 6.0t4 - 8.0t?, with a in radians per second-squared and tin seconds. At time t= 0, the wheel has an angular velocity of +6 rad/s and an angular position of +5 rad. Write expressions for (a) the angular velocity (rad/s) and (b) the angular position (rad) as functions of time (s). (a) Number i t5. i t3+ i Units (b) Number i t6. i t+ i t+ i Units

The angular acceleration of a wheel is a = 6.0t4 - 8.0t?, with a in radians per second-squared and tin seconds. At time t= 0, the wheel has an angular velocity of +6 rad/s and an angular position of +5 rad. Write expressions for (a) the angular velocity (rad/s) and (b) the angular position (rad) as functions of time (s). (a) Number i t5. i t3+ i Units (b) Number i t6. i t+ i t+ i Units

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter12: Rotation I: Kinematics And Dynamics

Section: Chapter Questions

Problem 69PQ: The propeller of an aircraft accelerates from rest with an angular acceleration = 4t + 6, where is...

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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

The angular acceleration of a wheel is a = 6.0t4 - 8.0t?, witha in radians per second-squared and tin seconds.
At time t= 0, the wheel has an angular velocity of +6 rad/s and an angular position of +5 rad. Write expressions
for (a) the angular velocity (rad/s) and (b) the angular position (rad) as functions of time (s).
(a) Number i
t5- i
t3+ i
Units
(b) Number i
t6- i
t4+ i
t+
Units

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