The angular position of a point on a rotating wheel is given by e = 6.46+ 3.18t2+2.05t³, where e is in radians and t is in seconds. At t = 0, what are (a) the point's angular position and (b) its angular velocity? (c) What is its angular velocity at t= 4.18 s? (d) Calculate its angular acceleration at t = 1.24 s. (e) Is its angular acceleration constant? (a) Number i Units (b) Number i Units (c) Number i Units (d) Number i Units (e) Number No Yes
The angular position of a point on a rotating wheel is given by e = 6.46+ 3.18t2+2.05t³, where e is in radians and t is in seconds. At t = 0, what are (a) the point's angular position and (b) its angular velocity? (c) What is its angular velocity at t= 4.18 s? (d) Calculate its angular acceleration at t = 1.24 s. (e) Is its angular acceleration constant? (a) Number i Units (b) Number i Units (c) Number i Units (d) Number i Units (e) Number No Yes
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Motion In Two Dimensions
Section: Chapter Questions
Problem 30P: A point on a rotating turntable 20.0 cm from the center accelerates from rest to a final speed of...
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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.
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