Basic Math Exam 1 Equation Sheet: Area, Speed, Acceleration, Forces, Planetary Motion, Study notes of Physical Education and Motor Learning

Download Basic Math Exam 1 Equation Sheet: Area, Speed, Acceleration, Forces, Planetary Motion and more Study notes Physical Education and Motor Learning in PDF only on Docsity! Equation Sheet for Exam 1 Basic Math Time DistanceSpeed = ►For a circle, 2 2 r r π π = = area ncecircumfere ►For a sphere, 3 2 3 4 4 r r π π = = volume area surface Acceleration t v a Δ Δ = ►For constant acceleration, atvv attvxx += ++= 0 2 00 2 1 ►Free-fall from rest in Earth’s gravity, 2 2 1 gt=fallen distance Forces ►Newton’s second law t v amaF Δ Δ == where ►Weight W = mg ►Universal gravitation 2 21 r MGM F = ►Hooke’s law for spring constant k kxF −= Motion of planets and satellites ►Centripetal acceleration and force r mv F r v a 22 == and ►Satellite of mass m in circular motion around a central mass M 2 2 r GMm r mv = ►Kepler’s third law 3 1 2 2 32 32 2 4 ⎟⎟ ⎠ ⎞ ⎜⎜ ⎝ ⎛ =⎟⎟ ⎠ ⎞ ⎜⎜ ⎝ ⎛ ∝ = a a aT GM a T 1 2 T T or π ►For planetary motion in the solar system, express T in years and a in AU; then 32 aT = . Constants kg 100.6 m 104.6 /Nm 1067.6 m/s 81.9 24 6 2211 2 ×= ×= ×= = − earth earth M R kgG g