contestada

A dog is running in a circle around a tree, trying to catch a rabbit. The dog's owner notices the
dog completes 4 laps around the tree in 32 seconds and the radius of the dog's circular path is
3 meters. What is the tangential velocity of the dog?

Respuesta :

Answer: 2.35 m/s

Explanation:

Given

Dog completes 4 laps around the tree in  32 seconds

Radius of the circular path is 3 m

Time period for single lap is  [tex]\frac{32}{4}=8\ s[/tex]

Length of the track is equivalent to the perimeter of the path

[tex]\Rightarrow L=2\pi r\\\Rightarrow L=2\pi \times 3\\\Rightarrow L=6\pi\ m[/tex]

Tangential velocity is given by

[tex]\Rightarrow v_t=\dfrac{L}{t}\\\\\Rightarrow v_t=\dfrac{6\pi}{8}\\\\\Rightarrow v_t=2.35\ m/s[/tex]

Thus, the tangential velocity is 2.35 m/s

Otras preguntas