Answer:
19.7 m
Explanation:
The centripetal acceleration of the falcon is given by
[tex]a=\frac{v^2}{r}[/tex]
where
a is the acceleration
v is the speed
r is the radius of the circular path
In this problem, we have:
[tex]a=1.5 g = 1.5(9.8)=14.7 m/s^2[/tex] is the acceleration
v = 17 m/s is the speed
Solving for r, we find the radius of the turn:
[tex]r=\frac{v^2}{a}=\frac{17^2}{14.7}=19.7 m[/tex]
The acceleration of a body traveling in a circular route is known as centripetal acceleration. The radius of the turn if the falcon will be 19.7 m.
The acceleration of a body traveling in a circular route is known as centripetal acceleration. Because velocity is a vector quantity. It has both a magnitude and a direction.
When a body moves on a circular route, its direction changes constantly, causing its velocity to vary, resulting in acceleration.
The given data in the problem,
[tex]\rm a_c[/tex] is the centripetal acceleration =1.5g
v is the velocity =17 m/sec
r is the radius of circular turn=?
Mathematically centripetal acceleration is given as
[tex]\rm a_c=\frac{v^2}{r} \\\\\rm r=\frac{v^2}{a_c}\\\\ \rm r=\frac{(17)^2}{1.5\times9.81}\\\\ \rm r=19.7 m[/tex]
Hence the radius of the turn if the falcon will be 19.7 m.
To learn more about centripetal acceleration refer to the link;
https://brainly.com/question/17689540
