Respuesta :
Answer: yes, it is possible to express angular speed in degrees per second as well as radians per second.
Explanation: Since, we know that angular speed is the rate in which an object changes its angle in a given time period.Generally, we measure angular speed in radians.
ω= [tex]\frac{\Theta}{t}[/tex], where [tex]\Theta[/tex] is the angle in radian and t is time. so let us consider we have angular velocity ω= 3 radian per second.And, we want to change it in degree per second.
Since, [tex]2\pi[/tex] radians=360° ⇒ [tex]\pi[/tex] radians=180°
So, 1 radian= 180°/[tex]\pi[/tex]
Angular speed = 3×180°/[tex]\pi[/tex] radian per second.
Thus, when we want to change angular speed from radian to degree we should multiply by 180°/[tex]\pi[/tex].
Similarly, when we want to find in radian per second from degree per second then we have to multiply by [tex]\pi[/tex]/180°.
