Question

The downward motion of an elevator is controlled by a cable that unwinds from a cylinder of radius 0.20 m. what is he angular velocity of the cylinder when the downward speed of the elevator is 1.2 m/s

Answer 1

The angular velcoity of this cylinder when the downward speed of the elevator is 1.2 m/s would be 6 rad/s.

Given the following data:

Radius of cylinder = 0.20 meter.

Linear velocity = 1.2 m/s.

What is angular velocity?

Angular velocity can be defined as the rate of change of angular displacement of an object with respect to time. Thus, it is a measure of how fast and quickly an object revolves or rotates relative to another point or how its angular position changes with respect to time.

The formula for angular velcoity.

Mathematically, angular velcoity is given by this formula:

$V =r\omega\\\\\omega =\frac{V}{r}$

Substituting the given parameters into the formula, we have;

$\omega = \frac{1.2}{0.2}$

Angular velocity = 6 rad/s.

Read more on angular velcoity here: brainly.com/question/6860269