Answer:
[tex]a_{c} = 50\ m/s^2[/tex]
Explanation:
In uniform circular motion, the acceleration of the object is due to the changing direction of velocity of the object. this acceleration is referred to as centripetal acceleration. It can be calculated by following formula:
[tex]a_{c} = \frac{v^2}{r}[/tex]
where,
ac = centripetal acceleration = ?
v = speed of the object = 15 m/s
r= radius of circular motion = distance of object from center of rotation = 4.5 m
Therefore, using these values in equation, we get:
[tex]a_{c} = \frac{(15\ m/s)^2}{4.5\ m}\\\\a_{c} = 50\ m/s^2[/tex]
