Difference Between Linear Velocity and Angular Velocity

Linear acceleration (aa) and angular acceleration (α\alpha) are related by the equation:
a=$ r \cdot \alpha
where rr is the radius of the circular path and α\alpha is the angular acceleration.

The relationship between linear velocity (vv) and angular velocity (ω\omega) is:
v=r \cdot \omega
where v is the linear velocity, rr is the radius of the circular path, and ω\omega is the angular velocity.

Linear distance is the actual distance traveled along a straight path, measured in meters (m), while angular distance refers to the angle through which an object rotates, measured in radians (rad).

Linear velocity is the rate at which an object moves along a straight path. It is calculated as the distance traveled per unit of time, typically measured in meters per second (m/s).

Linear momentum is the product of an object's mass and its linear velocity, given by:
p=$m\cdot v$
Angular momentum is the rotational equivalent, calculated as:
L=$I\cdot \omega$
where II is the moment of inertia and ω is the angular velocity.

The relation between linear velocity (v) and angular velocity (ω) is:
v=$r\cdot \omega$
where rr is the radius of the circular path.

Angular velocity (ω\omega) can be calculated using the formula:
ω=$\frac{\theta }{t}$
where θ\theta is the angular displacement in radians and tt is the time taken.

The formula for linear acceleration (aa) is:
$a=\frac{\mathrm{\Delta }v}{\mathrm{\Delta }t}$
where Δv\Delta v is the change in velocity and $\Delta t\mathrm{\Delta }$ t is the time interval.

The SI unit of angular velocity is radians per second (rad/s).