Problem 5: With the aid of a string, a gyroscope is accelerated from rest to 31 rad/s in 0.36 s. Randomized Variables w = 31 rad/s t = 0.36 s Part (a) What is its angular acceleration, in radians per square seconds? Numeric : A numeric value is expected and not an expression. a = Part (b) How many revolutions does it go through in the process? Numeric : A numeric value is expected and not an expression. =

Problem 5: With the aid of a string, a gyroscope is accelerated from rest to 31 rad/s in 0.36 s. Randomized Variables w = 31 rad/s t = 0.36 s Part (a) What is its angular acceleration, in radians per square seconds? Numeric : A numeric value is expected and not an expression. a = Part (b) How many revolutions does it go through in the process? Numeric : A numeric value is expected and not an expression. =

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

**Problem 5:** With the aid of a string, a gyroscope is accelerated from rest to 31 rad/s in 0.36 s.

**Randomized Variables**
- \(\omega = 31 \text{ rad/s}\)
- \(t = 0.36 \text{ s}\)

**Part (a)** What is its angular acceleration, in radians per square seconds?
**Numeric:** A numeric value is expected and not an expression.
\(\alpha =\) __________________________________________

**Part (b)** How many revolutions does it go through in the process?
**Numeric:** A numeric value is expected and not an expression.
\(\theta =\) __________________________________________

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