Use (t) = A A + A x and = A + 2 A x A + A x + A x ( A x ) to compute the velocit

Question

Use (t) = A A + A x and = A + 2 A x A + A x + A x ( A x ) to compute the velocity and acceleration of P, respectively. P =( + )ft/s P = -( + ) ft/s2 Do not round intermediate calculations; however, for display purposes, report intermediate steps rounded to four significant figures. Give your final answer(s) to seven significant figures. The propeller shown has a diameter of 420 ft and is rotating with a constant angular speed of 420 rpm. At a given instant, a point P on the propeller is at p = 12 + 13.77 ft.

Explanation / Answer

w = 420*2/60 RAD/S

= 14 RAD/S

rp =12 +13.7 J

VP = W*|rP | = 14*18.21 =800.6 M/S

VP = 800.6(12/18.21 i + 13.7/18.21 j)

= 43.96 (12 i +13.7 j)

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