Question

Describe rotational motion (angular displacement, angular velocity, angular acceleration, torque, moment of inertia, etc.). Use equations and words.

Answer 1

a body is moving in a circular path about an axis is called rotational motion

here based on the axis bodies are rotating

in the rotational motion

main points are

rigid body: it is defined as a system pf particles in which distance between each pair of particles remains same. example : stone, table and so on.

angular displacement:

angular displacement of a body is the angle measured in radians through which a axis revolves around the center

here s is the arc length

r is the radius of the circle

angular velocity: it is the rate of change of angular displacment

w =

units are rad/sec

relation between angular velocity and linear velocity is v = r*w

angular acceleration: it is defined as rate of angular velocity

relation is a = r*

torque: it is the rotational force it is defined as the product of force and perpendicular distance from the line of action of force

T = r*f = r*f*sin()

here angle in between force and distance

moment of inertia: it is defiend as the product of mass and square distance between from the axis of rotation

I = mr^2

angular momentum = L = r*p = r*mvsin()