Displacement Current

Step 1: Use the formula relating power and torque.
The power

P

in rotational motion is related to torque

%5Ctau

and angular velocity

%5Comega

by the formula:

P%20%3D%20%5Ctau%20%5Ccdot%20%5Comega

Step 2: Rearrange the equation to solve for angular velocity.
Rearrange the equation to solve for

%5Comega

%5Comega%20%3D%20%5Cfrac%7BP%7D%7B%5Ctau%7D

Step 3: Substitute the known values.
Substitute

P%20%3D%20150%20%5C%2C%20%5Ctext%7BkW%7D%20%3D%20150%20%5Ctimes%2010%5E3%20%5C%2C%20%5Ctext%7BW%7D

and

%5Ctau%20%3D%20100%20%5C%2C%20%5Ctext%7BNm%7D

%5Comega%20%3D%20%5Cfrac%7B150%20%5Ctimes%2010%5E3%7D%7B100%7D%20%3D%201500%20%5C%2C%20%5Ctext%7Brad%2Fs%7D

Thus, the angular velocity is:

%5Cboxed%7B1500%20%5C%2C%20%5Ctext%7Brad%2Fs%7D%7D

Chapter Questions
1 MCQs