ve Problems: Do any seven ( (SHOW YOUR WORK) ballerina spins initially at 1.5 re
ID: 1796270 • Letter: V
Question
ve Problems: Do any seven ( (SHOW YOUR WORK) ballerina spins initially at 1.5 rews when her arms are extended. She then draws in her arms to her body and her moment of inertia becomes 0.88 kgw, and her angular speed increases to 4.0 rew's. What was her initial moment of inertia? C2-8 8.0-kg weight at arm's length, a distance of 0.55 m from his oint. What is the torque about his shoulder joint due to the weight if his arm is 11-2) A man in a gym is holding an shoulder j horizontal? 1-2) C2.9 11-3) A wheel rotates through an angle of 13.8 rad as it slows down uniformly from 22.0 rad/s to 13.5 rads. What is the magnitude of the angular acceleration of the wheel? C2-10 II-4) An electrical motor spins at a constant 2695.0 rpm. If the rotor radius is 7.165 cm, what is the linear acceleration of the edge of the rotor? C2-11 A torque of 12 N·m isapplied to a solid, uniforn disk of radius 0.50 m. If the disk accelerates at 1.6 rad/s what is the mass of the disk? 11-5) C2-12Explanation / Answer
1) w1 = 1.5 rev/s , w2 = 4 rev/s, I2 = 0.88 kg.m2
From conservation of angular momentum
I1 w1 = I2 w2
I1 * 1.5 = 0.88 * 4
I1 = 0.88 * 4 / 1.5
initial moment of inertia I1 = 2.346 kg.m2
2) Torque = r * F = r * m g
= 0.55 * 8 * 9.8
torque = 43.12 N.m
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