Question

a robotic arm pinned at one end makes a complete revolution in 5 minutes. what is the angle swept out by the robotic arm in 1.25 minutes? express your answer in both degrees and radians.

Answer 1

Explanation:

We know a complete revolution happens in 360 degrees so let set up a proportion.

1.25/5= x/360

1/4= x/360

x=90

So this angle was 90 degrees.

Notice that the circumference of a circle is 2pi radians.

So a full revolution takes 2pi radians to occur.

1/4 of that will be pi/2 radians.

So, the radians is pi/2