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Newton's laws of Rotation
Rebiaz Studio
Follow
8/28/2024
The center of mass of an object may not change, but every point around the center of mass may change. This is rotational motion. How to apply Newton's Laws to rotation. This is a simple concept that relates torque to angular acceleration.
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00:00
Hi friends, good afternoon everyone. Thank you for being an active viewer on the Diggus Science channel.
00:11
In this series, we will learn about Newton's laws of rotation.
00:17
Consider the following object. This is a grinding disk.
00:23
Initially, this object is not rotating.
00:26
After that, this wheel rotates until it reaches a certain angular velocity.
00:32
The object that was originally at rest changes to rotating.
00:36
What causes this?
00:40
Newton discovered that when an object gets torque, the object will experience angular acceleration.
00:47
The presence of this angular acceleration causes the angular velocity of the object to change over a certain time interval.
00:56
So, in simple terms, if an object experiences a change in angular velocity, a torque must be acting on the object.
01:10
Mathematically, this statement can be written as sigma tau equals I alpha,
01:18
where I is the moment of inertia of the object about a certain axis.
01:23
This quantity can also be called rotational inertia.
01:28
We have known this quantity from the first video in this series course.
01:35
Alpha is angular acceleration.
01:38
You can understand this quantity in more detail after watching the rotational kinematics course.
01:46
Of course sigma tau is the resultant torque acting on an object.
01:52
Because it is possible for several torques to act on the same object.
02:00
From here, we will find three possibilities.
02:03
For non-rotating objects, sigma tau is equal to zero.
02:09
This value of zero is a fixed value.
02:12
This means that this condition also applies to other constant angular velocities.
02:16
Objects rotating at constant angular velocity also have sigma tau equal to zero.
02:31
The condition when sigma tau is not equal to zero.
02:36
In this condition, the object will rotate with constant angular acceleration.
02:46
From this visual illustration, when you see an object rotating,
02:49
you will be able to guess whether a torque is working on the object or not.
02:58
Hopefully this tutorial is useful.
03:01
And, don't forget to watch the next video.
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