A merry-go-round rotates from rest with an angular acceleration of 1.30 rad/s². (a) How long does it take to rotate through the first 2.50 rev? (b) How long does it take to rotate through the next 2.50 rev?

A merry-go-round rotates from rest with an angular acceleration of 1.30 rad/s². (a) How long does it take to rotate through the first 2.50 rev? (b) How long does it take to rotate through the next 2.50 rev?

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 69PQ: The propeller of an aircraft accelerates from rest with an angular acceleration = 4t + 6, where is...

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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 merry-go-round rotates from rest with an angular acceleration of 1.30 rad/s².
(a) How long does it take to rotate through the first 2.50 rev?
(b) How long does it take to rotate through the next 2.50 rev?

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