A laboratory report on a ball rolling without slipping states its total mechanical…

PHYSICS · Subjective · Fermi University Physics · Scientific Practice & Experimental Methods · Quantities, units and the practice of measurement · Quantities, units and the practice of measurement

Measurement and Method, Ch What dimensions decide before you measure anything

Problem

A laboratory report on a ball rolling without slipping states its total mechanical energy as

E = \frac{1}{2}mv^2 + \frac{1}{2}I\omega,

where

m

is the ball's mass,

v

the speed of its centre,

I

its moment of inertia about that centre (with

\dim(I) = \mathsf{M}\mathsf{L}^2

) and

\omega

its angular speed. Find the error.

Browse the problem library