The California sea lion is capable of making extremely fast, tight turns while swimming underwater. In one study, scientists observed a sea lion making a circular turn with a radius of 0.37 m while swimming at 4.0 m/s.

What is the sea lion's centripetal acceleration, in units of g?

What percentage is this acceleration of that of an F-15 fighter jet's maximum centripetal acceleration of 9g?

The value of centripetal acceleration is 4.41g.

The centripetal acceleration is 49% of the maximum acceleration F-15 fighter plane.

Given data:

The radius of circular turn is, r = 0.37 m.

The speed lion during the turn is, v = 4.0 m/s.

The centripetal acceleration is the center seeking acceleration produced by the force acting on the body during motion in a circular path. And standard expression for the centripetal acceleration is,

We known that the value of g is  . So divide and multiply a with g as,

Thus, we can conclude that the value of centripetal acceleration is 4.41g.

And the percentage is this acceleration of that of an F-15 fighter jet's maximum centripetal acceleration of 9g is,

Thus, we can conclude that the centripetal acceleration is 49% of the maximum acceleration F-15 fighter plane.

Learn more about the centripetal acceleration here:

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Acceleration of Sea Lion is 4.41 g

This is 49% of maximum jet acceleration given as a = 9g

Explanation:

As we know that the radius of the circular loop is given as

R = 0.37 m

The speed of the fish is given as

Now the centripetal acceleration of the sea lion is given as

as we know that

so we have

Now Percentage of this acceleration wrt maximum jet acceleration is given as

%

at right angles to each other