Answer:
[tex]2.925[/tex] meters
Explanation:
See the remaining part of required information in the attached image
Solution
The formula for calculating velocity is equal to
[tex]v = \frac{r\theta}{t_2 - t_1}[/tex]
Where v is the velocity, [tex]t_1, t_2,\theta[/tex] are time range for two acceleration vectors and angle between two acceleration vector respectively and r is the radius of the circle
Putting the give values in above equation we get
[tex]v = \frac{r * \frac{\pi }{2} }{2 -1} \\v = \frac{r\pi }{2}[/tex]
Acceleration is equal to
[tex]\sqrt{6^2 + 4^2} \\\sqrt{36+16} \\\sqrt{52} \\= 7.21[/tex]
Radius is equal to
[tex]\frac{v^2}{a}[/tex]
Putting the given values we get -
[tex]r = \frac{(\frac{r\pi }{2})^2}{7.211} \\r = \frac{4 * 7.211 }{\pi^2 } \\r = 2.925[/tex]
