question archive The three 250 g masses in the figure (Figure 1) are connected by massless, rigid rods What is the triangle's moment of inertia about the axis through the center? Express your answer to two significant figures and include the appropriate units LA | |=| Value | Units | Submit My Answers Give Up Part B What is the triangle's kinetic energy if it rotates about the axis at 5
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The three 250 g masses in the figure (Figure 1) are connected by massless, rigid rods What is the triangle's moment of inertia about the axis through the center? Express your answer to two significant figures and include the appropriate units LA | |=| Value | Units | Submit My Answers Give Up Part B What is the triangle's kinetic energy if it rotates about the axis at 5.4 rev/s? Express your answer to two significant figures and include the appropriate units Krot= 1 Value Figure 1 of 1 Submit My Answers Give Up Provide Feedback 40 cm 40 cm Axis 600 40 cm
A)
Cos(30) = (L/2) /r
Distance, r = 20/ cos30 = 23 cm = 0.23 m
Moment of inertia, I = 3 mr^2
I = 3 x 0.25 x 0.23^2 = 0.040 kg m^2
B)
Angular velocity, w = 5.4 x 2 pi = 33.93 rad/sec
Kinetic energy, KE = 0.5 x 0.04 x 33.93^2 = 23.03 J