All the points of a rigid body rotating about the given axis have same...
Thus, it is the velocity of a reference point fixed to the body. During purely translational motion (motion with no rotation), all points on a rigid body move with the same velocity. However, when motion involves rotation, the instantaneous velocity of any two points on the body will generally not be the same.
View all questions of this testAll the points of a rigid body rotating about the given axis have same...
Explanation:
When a rigid body rotates about a fixed axis, all points on the body travel in circles with the same radius, the distance from the axis of rotation. Therefore, all points on the body move through the same angle in the same amount of time. This means that all points on the body have the same angular velocity.
Angular velocity:
The angular velocity of a rotating body is the rate at which it rotates about a fixed axis, measured in radians per second. It is denoted by the symbol ω (omega) and is given by the formula:
ω = Δθ / Δt
where Δθ is the change in angle in radians and Δt is the change in time in seconds.
Since all points on a rigid body rotating about a fixed axis have the same angular velocity, it means that they all rotate through the same angle in the same amount of time.
Other parameters:
Linear acceleration, linear velocity, and angular momentum are not the same for all points on a rigid body rotating about a fixed axis. Linear acceleration is the rate at which the linear velocity of a body changes, and it depends on the distance of the point from the axis of rotation. Linear velocity is the rate at which a point on a body moves in a straight line, and it also depends on the distance of the point from the axis of rotation. Angular momentum is the product of the moment of inertia of the body and its angular velocity, and it also depends on the distance of the point from the axis of rotation.
Conclusion:
Therefore, the correct option is B) Angular velocity, as all points on a rigid body rotating about a fixed axis have the same angular velocity.
All the points of a rigid body rotating about the given axis have same...
Correct answer is option 'B'