Answer:
The value is
![w= 2*10^(-3) \ rad/s](https://img.qammunity.org/2021/formulas/physics/college/wdkcf9zl2ipmr51b58691wob1s8zipon7j.png)
Step-by-step explanation:
From the question we are told that
The diameter of the storm is
![d = 10.0 \ km = 10 000 \ m](https://img.qammunity.org/2021/formulas/physics/college/i84kty301jg7ih80u7n7v297sn35xaptv0.png)
The wind speed is
![v = 10.0 \ m/s](https://img.qammunity.org/2021/formulas/physics/college/fz5om0fzkzewyyc2xh81pory4u7x4vw7sg.png)
Generally the radius is mathematically represented as
![r = (d)/(2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/3n96p73b0on6i450wokzarv9us1ep184fo.png)
=>
![r = (10000)/(2)](https://img.qammunity.org/2021/formulas/physics/college/7khlx6eb36bltnl384izxhwtzx76c82wp0.png)
=>
![r = 5000 \ m](https://img.qammunity.org/2021/formulas/physics/college/yiop0n2l6rd4b4p8wlx5obj530q38fu25g.png)
Generally the angular velocity is mathematically represented as
![w= (v)/(r)](https://img.qammunity.org/2021/formulas/physics/college/sey1yggoiof9grxlsg4c6gzgg79wy0pb3d.png)
=>
![w= (10)/(5000)](https://img.qammunity.org/2021/formulas/physics/college/2jjnhzyi88u4q2mdg2afb3d6vsykrsfr7t.png)
=>
![w= 2*10^(-3) \ rad/s](https://img.qammunity.org/2021/formulas/physics/college/wdkcf9zl2ipmr51b58691wob1s8zipon7j.png)