Answer :
The linear speed of the object is the ratio between the measure of the arc it had traveled and the time. For the length of the arc,
2π x (20 m) x (0.2 rad/ 2π rad) = 4 meters
Divide this by the time, 10 s. Thus, the linear speed is equal to 0.4 m/s.
2π x (20 m) x (0.2 rad/ 2π rad) = 4 meters
Divide this by the time, 10 s. Thus, the linear speed is equal to 0.4 m/s.
Answer:
The linear speed is 0.4 m/s
Step-by-step explanation:
Given,
The radius of the circle = 20 meters,
The central angle made by the object that travelling around the circle = [tex]\frac{1}{5}[/tex] radian,
So, the distance covered by the object = The radius of the circle × Central angle made by the object ( in radians )
[tex]=20\times \frac{1}{5}[/tex]
[tex]=4\text{ meters}[/tex]
Now, the time taken by the object in travelling = 10 seconds,
[tex]\text{Speed}=\frac{\text{Distance}}{\text{Time}}[/tex]
Hence, the linear speed of the object = [tex]\frac{4}{10}[/tex]
= 0.4 m/s