0/8 points | Previous Answers My Notes . Ask Your The angular position of a rod

Question

0/8 points | Previous Answers My Notes . Ask Your The angular position of a rod varies as 20.72 radians from time to. The rod hes two beeds on it as shown in the following figure, one at axis. (Note: figure may not be drawn to scale.) 13 cm from the rotation axis and the other at r2 40 cm from the rotation Axis of rotation 13 cm 40 cm (a) What is the instantancous angular velocity (in rad/s) of the rod at t - 7 s? (Indicate the direction with the sign of your answer. Round your answer to at least one decimal place. X rad/s (b) What is the angular acceleration (in rad/s2) of the rod at t7s? (Indicate the direction with the sign of your answer.) x rad/s2 (c) What are the tangential speeds of the beads (in m/s) at t-7 s? x m/s (d) what are the tangential accelerations of the beads at t 7 s? (Enter the magnitudes in m/s What are the centripetal accelerations of the beads at t -7 s? (Enter the magnitudes in m/s2.) c, 1 (e)

Explanation / Answer

a] w = dtheta/dt = 2*20.7*t = 41.4*7 = 289.8 rad/s

b] angular acceleration alpha = 2*20.7 = 41.4 rad/s^2

c] v1 = wr1 = 289.8*0.13 = 37.674 m/s

v2 =wr2 = 289.8*0.40 = 115.92 m/s

d] at1 = 41.4*0.13 = 5.382 m/s^2

at2 = 41.4*0.40 = 16.56 m/s^2

e] ac1 = v1^2/r1 = 37.674^2/0.13 = 10918 m/s^2

   ac2 = v2^2/r2 = 115.92^2/0.4 = 33593 m/s^2

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