A body rotates about a fixed axis with an angular acceleration of `3 rad//s^(2)` . The angle rotated by it during the time when its angular velocity increases frm 10 rad/s to 20 rad/s (in radian) is

Options

A. 50
B. 100
C. 150
D. 200

Answer

A

Explanation

Given, `alpha=3 "rad s"^(-2),omega_(1)=10 "rad s"^(-1),omega_(2)=20 "rad s"^(-1)`
Angle, `theta=(omega_(2)^(2)-omega_(1)^(2))/(2alpha)=((20)^(2)-(10)^(2))/(2xx3)=50` rad.