Question

of the motion Prob. 3 A Bison champion athlete is rounding a curve of radius 100 ft at a constant 20 ft/s. Express his/her velocity and acceleration vectors in terms of3 different coordinate systemeh yur cheie

Answer 1

Given radius r = 100 ft speed V = 20 ft/s speed during circular motion is always tangential to motion so V_rho^vector = 0 e_rho^^v_phi^vector = 20 e_phi^^ft/s V_z^vector = 0 e_z^^e_rho^^, e_phi^^, e_z^^are unit vector in circular co-ordinate system. acceleration = v^2/r = 20^2/100 = 4 ft/s^2 along radial inward direction a^vector = -4 e_rho^^+ 0 e_phi^^+ 0 e_z^^in rectangular cordinate v^vector = oi^^+ 0j^^+ 20k^^a^vector = -4i^^+ 0j^^+ 0k^^in spherical co-ordinate v^vector = 0 e_r^^+ 20 e_theta^^+ 0 e_phi^^a^vector = -4e_r^^+ 0 e_theta^^+ 0 e_phi^^

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