Answer :
The angular speed when in the straight position is 6.61rad/sec
We know that angular speed is defined as change of angular displacement in per unit time
Angular speed have proper relation with linear speed.
If she is making rotation around any circular track of radius R, then the total distance travelled by her will be 4πR.
In 1 rotation she travelled =perimeter of circle=2πR
Therefore, in 2 rotations =2×2πR=4πR
Means,4πR distance is travelled in 1.9sec
Threfore,2πR distance is travelled in =(1.9×2πR)/4πR=1.9/2=0.95sec
Now, total angular displacement in straight position is=2π
So, applying the formula, we get angular speed(ω)=2π/0.95
=>ω=(2×3.14)/0.95
=>ω=6.28/0.95
=>ω=6.61rad/sec.
Hence, angular speed is 6.61rad/sec..
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