A dentist's drill starts from rest. After 3.20 s of constant angular acceleration, it turns at a rate of 2.51x103 rev/min. (a) Find the drill's angular acceleration. (b).Determine the angle (in radians) through which the drill rotates during this period.

A dentist's drill starts from rest. After 3.20 s of constant angular acceleration, it turns at a rate of 2.51x103 rev/min. (a) Find the drill's angular acceleration. (b).Determine the angle (in radians) through which the drill rotates during this period.

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 20PQ: A wheel starts from rest and in 12.65 s is rotating with an angular speed of 5.435 rad/s. a. Find...

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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

4) A dentisť's drill starts from rest. After 3.20 s of constant angular acceleration, it turns at a rate of
2.51x103 rev/min. (a) Find the drill's angular acceleration. (b).Determine the angle (in radians) through
which the drill rotates during this period.

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