A dentist's drill starts from rest. After 3.50 s of constant angular acceleration it turns at a rate of 2.30 x 104 rev/min. (a) Find the drill's angular acceleration. rad/s? (b) Determine the angle (in radians) through which the drill rotates during this period. rad

A dentist's drill starts from rest. After 3.50 s of constant angular acceleration it turns at a rate of 2.30 x 104 rev/min. (a) Find the drill's angular acceleration. rad/s? (b) Determine the angle (in radians) through which the drill rotates during this period. rad

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

Chapter10: Rotational Motion

Section: Chapter Questions

Problem 4P

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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

A dentist's drill starts from rest. After 3.50 s of constant angular acceleration it turns at a rate of 2.30 x 104 rev/min.
(a) Find the drill's angular acceleration.
rad/s2
(b) Determine the angle (in radians) through which the drill rotates during this period.
rad

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