Rolling motion energy

Total KE = ½mv² + ½Iω² with ω = v/R.

Calculator

Model / formula

K = ½mv² + ½Iω², ω = v/R

Shape (for I about center)

m (kg)

v (m/s)

R (m)

Result

K_total = 3.1500 J ω = 15.0000 rad/s (no slip)

Choose sphere, disk, or hoop model for I

Educational use only. Check signs, units, and modeling assumptions (e.g. flat Earth g, no air resistance unless stated).