The acceleration of gravity can be found from the length l and period T of a pendulum; the formula is g = 4π2l/T 2. Find the relative error in g in the worst case if the relative error in l is 5%, and the relative error in T is 2%.

A particle of mass m has a time-dependent position vector r(t) = (Rcos(ωt),Rsin(ωt),αt) in Cartesian coordinates, where R, ω and α are positive constants. What are the physical dimensions of R, ω and α? Show that the speed of the particle is constant. Does it mean that the acceleration is zero? Justify.

A vector is given by: i = (-2.11) + ( -4.28) ĵ+ ( 2.8 ) k. Determine the component of the unit vector û .

Part (a)  Do this for the range r > R.  E = _____ Part (b)  Do this for the range r < R.  E = _____