Verified Answer :

meerkat18

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.

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 = \(\frac{1}{5}\) radian,

So, the distance covered by the object = The radius of the circle × Central angle made by the object ( in radians )

\(=20\times \frac{1}{5}\)

\(=4\text{ meters}\)

Now, the time taken by the object in travelling = 10 seconds,

\(\text{Speed}=\frac{\text{Distance}}{\text{Time}}\)

Hence, the linear speed of the object = \(\frac{4}{10}\)

= 0.4 m/s

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