The angular acceleration of a wheel is a = 7.0t4 – 6.0t², with a in radians per second-squared and t in seconds. At time t = 0, the wheel has an angular velocity of +6 rad/s and an angular position of +3 rad. Write expressions for (a) the angular velocity (rad/s) and (b) the angular position (rad) as functions of time (s). a) Number i ! t- i ! t3+ 6 Units rad/s b) Number i t6- 6 t+ 3 Units rad

The angular acceleration of a wheel is a = 7.0t4 – 6.0t², with a in radians per second-squared and t in seconds. At time t = 0, the wheel has an angular velocity of +6 rad/s and an angular position of +3 rad. Write expressions for (a) the angular velocity (rad/s) and (b) the angular position (rad) as functions of time (s). a) Number i ! t- i ! t3+ 6 Units rad/s b) Number i t6- 6 t+ 3 Units rad

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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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 = 7.0t4 - 6.0t2, with a in radians per second-squared andt in seconds. At time t = 0, the wheel
has an angular velocity of +6 rad/s and an angular position of +3 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+
6
Units
rad/s
(b) Number
i
!
t6-
i
! t*+ 6
t+
3
Units
rad

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