Non-inertial frame of reference

AI Thread Summary
To solve the problem of calculating the acceleration of a speedboat using a non-inertial frame of reference, it is essential to understand that the fictitious force is equal to the mass times the acceleration (F = ma). The cork ball, hanging at an angle of 32.5 degrees, indicates that the acceleration of the speedboat can be derived from the forces acting on the ball. The previously calculated acceleration of 6.2 m/s² using an inertial frame does not directly apply in a non-inertial frame without considering the fictitious force. Clarification is needed on how to properly relate the fictitious force to the acceleration in this context.
rrosa522
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Homework Statement


You use a string to suspend a cork ball with a mass of 22.0g from the ceiling of a moving speedboat. The ball and string hang at 32.5 degrees from the vertical. Calculate the acceleration of the speedboat.

Homework Equations

The Attempt at a Solution


I was able to calculate using inertial frame of reference and I got 6.2m/s^2, which is the correct answer. But my teacher wants me to use non-inertial frame of reference to answers this question and I have no idea how.
My teacher said that the acceleration of the speedboat is equal to the fictitious force, but I found the fictitious force and it did not equal to 6.2
 
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rrosa522 said:
My teacher said that the acceleration of the speedboat is equal to the fictitious force, but I found the fictitious force and it did not equal to 6.2
The fictitious force equals ma, not a. (An acceleration would not even have the correct units.)
 

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