Math Problem Statement

A runner moving with a tangential velocity of 8.8 m/s rounds a bend with a radius of 25 m.  Find the centripetal acceleration of the runner.

Solution

Given values for the runner runner_speed = 8.8 # m/s runner_radius = 25 # m

Centripetal acceleration formula: a_c = v^2 / r

runner_c

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Math Problem Analysis

Mathematical Concepts

Physics
Circular Motion
Centripetal Force and Acceleration

Formulas

Centripetal acceleration formula: a_c = v^2 / r

Theorems

Newton's Second Law (application in circular motion)

Suitable Grade Level

Grades 9-11