Solving Rotational Motion: Max Speed on Spherical Hill

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Homework Help Overview

The problem involves rotational motion, specifically analyzing the maximum speed of a motorcycle rider on a spherical hill with a given radius. The rider must maintain contact with the hill's surface while navigating its curvature.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the forces acting on the rider at the top of the hill and question which equations are applicable for analyzing the situation. There is a focus on the relationship between gravitational force and the forces required to maintain contact with the hill.

Discussion Status

The discussion is active, with participants exploring different aspects of the problem. Some have suggested that the gravitational force is crucial for maintaining contact, while others are attempting to relate this to the equations of motion. No consensus has been reached yet, but there are indications of productive lines of inquiry.

Contextual Notes

Participants are navigating the constraints of the problem, including the requirement for the rider to remain on the surface of the hill and the implications of circular motion. There is also a mention of specific equations and concepts that may need clarification.

mxer101
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rotational motion??

Homework Statement


A rider rides a motorcycle over a spherical hill with a radius of 12 meters. Show that the max speed cannot exceed 24mph or 10.8 m/s is he is to remain on the surface of the hill


Homework Equations





The Attempt at a Solution


I am not sure which equation to use!
 
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What are the forces acting on him when he is on the top of the hill?
 
What force keeps him touching the hill?
 
the force keeping him on the hill is gravity so would I use g=1/2 dt2?
 
If he is to remain on the surface of the hill, his weight must be equal to the centrifugal force acting on him due to his circular motion. Therefore mg = mv^2/r. Find the value of v.
 

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