A particle starts from rest and accelerates with constant angular acceleration = 0.6 rad/s 2 . Find the angular speed of the particle after it turns through 24 revolutions. - Wired Faculty

Question

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A particle starts from rest and accelerates with constant angular acceleration $alpha$ = 0.6 rad/s². Find the angular speed of the particle after it turns through 24 revolutions.

Solution

Given, a particle starts from rest.
That is, initial angular velocity, $straight omega subscript straight o$ = 0 rad/s
Angular acceleration, $space space straight alpha equals 0.6 space rad divided by straight s squared$

$straight theta equals 24 space rev space equals space 48 straight pi space rad$
We know, $straight omega squared minus straight omega subscript straight o superscript 2 equals 2 αθ$
i.e., $straight omega squared equals straight omega subscript straight o superscript 2 plus 2 αθ$
$equals 0 plus 2 cross times 0.6 cross times 48 straight pi$
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Laws Of Motion

A particle starts from rest and accelerates with constant angular acceleration $alpha$ = 0.6 rad/s². Find the angular speed of the particle after it turns through 24 revolutions.

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For Daily Free Study Material Join wiredfaculty

Laws Of Motion

A particle starts from rest and accelerates with constant angular acceleration = 0.6 rad/s2. Find the angular speed of the particle after it turns through 24 revolutions.

Some More Questions From Laws of Motion Chapter

State Galileo’s law of motion.

Define inertia.

When the branches of an apple tree are shaken, the apples fall down. Why?

A person jumping out from a moving car or bus falls forward. Why?

Due to what type of inertia, the spark leaves the grind stone tangentially while sharpening the knife?

Which law of motion is also called law of inertia?

What is measure of inertia of body?

Which law of motion defines the force?

What happens to a stone tied to the end of string and whirled in a circle if the string suddenly breaks?

Which law of motion gives the quantitative knowledge of force?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

A particle starts from rest and accelerates with constant angular acceleration $alpha$ = 0.6 rad/s². Find the angular speed of the particle after it turns through 24 revolutions.