The Angular Velocity of an arm is the rate of change of the angular displacement of an arm with respect to time. It measures how fast the arm is rotating around a fixed point or axis.
The formula for calculating Angular Velocity of an arm is ω = Δθ/Δt, where ω is the angular velocity, Δθ is the change in angular displacement, and Δt is the change in time. The unit for angular velocity is radians per second (rad/s).
Angular Velocity of an arm and Linear Velocity are related by the equation v = rω, where v is the linear velocity, r is the distance from the axis of rotation to the point on the arm, and ω is the angular velocity. This means that the linear velocity increases as the distance from the axis of rotation increases.
The factors that affect the Angular Velocity of an arm are the length of the arm, the mass of the arm, and the force applied to the arm. A longer arm will have a higher angular velocity for the same force applied, while a heavier arm will have a lower angular velocity for the same force applied.
Angular Velocity of an arm is important in biomechanics because it is used to calculate the forces and torques acting on the arm, which can help in understanding the movements and mechanics of the arm. It is also used in analyzing and improving the performance of athletes in sports such as throwing, swinging, and punching.