Answer:
2.51 m/s
Step-by-step explanation:
Given that,
Angular speed of a fan,
![\omega=0.5\ rev/s = 3.14\ rad/s](https://img.qammunity.org/2021/formulas/physics/college/v7cq0dse4lc5yna9lx7ftu727ck9bt33r8.png)
Length of the fan arm, r = 0.8 m
We need to find the speed of a point on the end of the fan arm at this time. Let v is the speed. It is given in terms of angular speed is given by :
![v=r\omega\\\\v=0.8* 3.14\\\\v=2.51\ m/s](https://img.qammunity.org/2021/formulas/physics/college/4ao5y04hh051klsbao4hawhlywyidjfobz.png)
So, the required speed is 2.51 m/s.