The correct option is (D):
From the first graph, it is evident that as time goes on, the value of Omega (angular velocity) decreases.
Angular velocity is a vector number that indicates the angular speed or rotational speed of an object and the axis around which the object is revolving. The amount of change in the particle's angular displacement over time is known as angular velocity. The angular velocity vector's course is vertical to the plane of rotation, as indicated by the right-hand rule.
Formula for Angular Velocity
\(w=\frac{d \Theta}{dt}\)
Where,
The change in angular displacement is denoted by dθ .
The shift in time t is represented by dt.
A body of mass $100 \;g$ is moving in a circular path of radius $2\; m$ on a vertical plane as shown in the figure. The velocity of the body at point A is $10 m/s.$ The ratio of its kinetic energies at point B and C is: (Take acceleration due to gravity as $10 m/s^2$)
If a body is performing uniform circular motion with velocity \( v \) and radius \( R \), then identify the true statements from the following:
A. Its velocity \( v \) is constant.
B. Acceleration is always directed towards the centre and its magnitude is \( a = \frac{v^2}{R} \).
C. Angular momentum is constant in magnitude but its direction keeps changing.
D. Angular velocity of the body \( = \frac{v}{R} \).
Choose the most appropriate answer from the options given below.