3. A rotating wheel requires 3.0 s to rotate 37.0 revolutions. Its . What is ang

Question

3. A rotating wheel requires 3.0 s to rotate 37.0 revolutions. Its . What is angular speed at the end of the 3.0 s interval is 98.0 rad/s the constant angular acceleration of the wheel? 4. The four masses in the figure are connected by rigid rods of negligible mass and are symmetric about thex- and y-axes. If the system rotates in the xy plane about the z axis with an angular velocity of 6 rad/s, calculate a. the moment of inertia of the system about the z axis b. the kinetic energy of the system. c. the torque produce an angular acceleration of 1.5 rad/s 3 kg4 kg

Explanation / Answer

Q4

for point mass,moment of inertia=mr^2

where r is distance from point of rotation

Here r=sqrt(3^2+1)=sqrt(10)

moment of inertia=2*10+1*10+3*10+4*10=10*10=100 kg.m^2

(b)KE=0,5*I*w^2=1800 J

(c)Torque=I*angular acceleration=150 Nm

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