what is the angular displacement of the minute hand on a clock during a 30 minute interval?

Question

I rotation= 360 degrees= 2π

s= theta*radius

theta= s/radius

Answer 1

Since the minute hand would make one rotation in 60 minutes, it would make 1/2 rotation in 30 minutes.

 

Since one rotation = 360 degrees= 2Π radians, then 1/2 rotation = 180 degrees= Π radians  

 

Angular displacement =  180 degrees= Π radians