Question 1 of 12 Incorrect sapling learning A propeller is modeled as five ident
ID: 1470301 • Letter: Q
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Question 1 of 12 Incorrect sapling learning A propeller is modeled as five identical uniform rods extending radially from its axis. The length and mass of each rod are 0.737 mand 2.51 kg, respectively. When the propellor rotates at 563 rpm (revolutions per minute), what is its rotational kinetic energy? Number 16.75 @ Previous Give Up & View Solution Try Again Next Exit Explanation The moment of inertia lof a uniform rod with respect to a perpendicular axis through its end is I--m L where m and L denote the rod's mass and length, respectively. The rotational kinetic energy K of a rotating body is where l is the body's moment of inertia with respect to the rotation axis and is the body's angular speed.Explanation / Answer
m =2.51 kg , L =0.737 m,
w=563 rpm =( 563*2*3.14)/60 = 58.927 rad/s
Moment of inertia I = (5/3)mL2
I = (5/3)(2.51)(0.737*0.737)
I = 2.27 kg.m^2
K = (1/2)Iw^2 = (1/2)(2.27)(58.927*58.927)
K = 3941 J
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