1. A turbine fan in a jet engine has a moment of inertia of 2.5 kg - on2 about its axis of rotation. As the turbine starts up, its angular velocity is given by (dz = (40 r:_3d) :2. la) Find the fan's angular momentum as a function of time, (bi find Its value at t = 3.0 s, and {c} find the net torque on the fan as a function oftime, and id] nd its value at t = 3.0 s. 2. You have nished watching a movie on Blu-ray and the disc is slowing to a stop. The disc's angular velocity at t = 0 sis 215 rad/s, and its angular acceleration is a constant ~10.0 rad/'52. Aline PQ on the disc's surface lies along the +x-axis at t = 0 5. la] What is the disc's angular velocity at t = 0.300 5? lb) What angle does the line PQ make with the Mt-axis at this time? 3. What is the eccentricity of the ellipse formed Inside the circle on the gure? 4. Based on Kepler's third law of planetary motion, calculate the mass of the sun, provided that the period of the Earth's orbit around the Sun is 3.156 x 10" s and its distance from the Sun is approximately 1.496 x 1011 m. 5. in 1610, Galileo used his telescopes to discover the four Name I. 1m} , [days] most prominent moons of Jupiter. Their mean orbital radii b 4.21 I 10' 1..\" and periods are given in the table. Plot a graph of r3 {y-axlsi E 6 11 i 10' 155 against '1"2 (it-axis] and comment on what this graph shows " E I 10.70 i 10' 7.16 about the relationship between r and T. H 13.80: 10. 16.10 From your plotted graph, what is the relationship between 1" and T is of what type? (a) logarithmic, lb] direct, (c) inverse. id] none of the above