What is angular velocity?
A
The rate of change of angular acceleration
B
The rate of change of linear velocity
C
The rate of change of angular displacement
D
The product of angular displacement and time
Analysis & Theory
Angular velocity is defined as the rate of change of angular displacement with respect to time.
What is the SI unit of angular velocity?
Analysis & Theory
The SI unit of angular velocity is radians per second (rad/s).
If a wheel rotates at 60 revolutions per minute (rpm), what is its angular velocity in rad/s?
Analysis & Theory
Angular velocity = (2π × rpm) / 60 = (2π × 60)/60 = 2π rad/min = π rad/s.
Angular velocity is a ______ quantity.
Analysis & Theory
Angular velocity is a vector quantity, with direction along the axis of rotation (right-hand rule).
Which formula correctly relates angular velocity (ω), linear velocity (v), and radius (r)?
Analysis & Theory
The relation is v = ω × r; this cross product gives linear velocity tangent to circular path.
In uniform circular motion, angular velocity is:
Analysis & Theory
In uniform circular motion, angular displacement increases at a constant rate, so angular velocity is constant.
If a wheel rotates 180° in 2 seconds, its angular velocity is:
Analysis & Theory
180° = π radians; ω = θ / t = π / 2 = 1.57 rad/s
Which of the following affects angular velocity the most directly?
C
Angular displacement and time
Analysis & Theory
Angular velocity depends directly on angular displacement and time (ω = θ / t).
If angular velocity increases with time, the body has:
D
Negative angular velocity
Analysis & Theory
An increase in angular velocity indicates angular acceleration.
Which of the following quantities has the same direction as angular velocity?
B
Centripetal acceleration
Analysis & Theory
Angular velocity and angular displacement share the same direction along the axis of rotation.