How to Calculate Normal Force in a Rotating Environment?

AI Thread Summary
To calculate the normal force exerted by the walls on a person in a rotating environment, first determine the radius of the room, which is 1.55m (half of the diameter). Using the circumferential speed of 3m/s, apply the formula for centripetal acceleration to find the required normal force. The friction force, which is dependent on the coefficient of friction (0.4) and the normal force, must also be considered to ensure the person does not slide down. By equating the centripetal force to the friction force, the normal force can be calculated. This approach effectively combines physics concepts to solve the problem.
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Homework Statement


Q: At a circumferential speed of 3m/s, what is the normal force exerted by the walls on a person having a mass of 70kg?

givens:
diameter of room is 3.1m
coefficient of friction between the people and the wall is .4



Homework Equations


circumferential speed=2(pi)r/t...t is the amount of time it takes to complete one revolution
Friction force = (coefficient of friction) × (normal force)


The Attempt at a Solution

 
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