PHYS 207: TEST 3 (10 questions) This is an open-book test. Write your NAME and ULID on the SCANTRON sheet. For each question, there is only one correct answer 1) The planet Jupiter has a mean radius R = 70 x 10 m and turns on its axis once every 10 hours. What is the planet's angular speed, in rad/s? (A) 10.00 X 104 rad/s (B) 2.00 X 1040 rad/s 0.63 rad/s (D) 10.0 x 10-4 rad/s (E) 1.75 x 10-4 rad/s 2) For Problem 1, what is the tangential speed at Jupiter's equator? (A) 22 m/s (B) 44,100,100 m/s (C) 1.2217 m/s (D) 12,217 m/s (E) 12217 m/s 3) For Problem 1, at what latitude O (measured from the equatorial plane) is the tangential speed one- half that at the equator? (A) 60 (B) 450 (C) 30 (D) 20 (E) 0 4) Two race cars negotiating circular turns of different radi experience the same centripetal acceleration. If the path radius of Car A is 60 m and that of Car B is 40 m, what is their tangential speed ratio VA/VR? (A) 10 (B) 1 (C) 0.8 (D) 1.22 (E) 2 5) A motorcycle accelerates uniformly from rest and reaches a speed of 40 m/s in 11 s. The radius of each tire is 0.30 m. What is the magnitude of the angular acceleration of each tire, in rad/s2? Assume rolling without slipping. (A) 12 rad/s? (B) 8.7 rad/s (C) 0.8 rad/s2 (D) 3.6 rad/s2 (E) 0.0 rad/s26) The motor of an industrial blender brings the blade from rest up to the rated angular velocity @) = 70 rev/s in AO = 210 revs. The blade has a moment of inertia / = 0.002 kg m?. What net torque (assumed constant) must the motor apply to the blade? (A) 0.015 Nm (B) 0.15 Nm (C) 0.001 Nm (D) 15 Nm (E) 1230 Nm 7) A thin-walled hollow cylindrical pipe of mass 1000 kg and radius 2 m starts from rest at the top of a slope, which is at a height of 10 m. Assuming the pipe rolls without slipping, what is its translational speed when it reaches the bottom of the slope? [Take g = 10 m/s2.] (A) 0.01 m/s (B) 200 m/s (C) 0.10 m/s (D) 100 m/s (E) 10 m/s 8) What is the physical significance of the phrase "a rigid object is in equilibrium"? (A) The object can only rotate. (B) The object must be at rest at all times. (C) The object can only have translational motion. (D) The object can have both translational and rotational motion as long as the net force and the net torque are both zero. (E) The object can experience translational acceleration while being in non-uniform circular motion. 9) The radii of the steering wheels of a car and a truck are 0.20 m and 0.30 m, respectively. If the same force is applied in the same direction to each steering wheel, what is the ratio Truck/ Tcar of the torque produced by this force on the truck wheel to the torque produced on the car wheel? (A) 6.70 (B) 1.00 (C) 1.50 (D) 0.67 (E) 150 10) A spinning object starts from rest at to = 0 s and has a constant angular acceleration a. At time 1 = 10 s, the angular speed is w, = 10 rad/s. What is the angular speed @2 at time to = 20 s? (A) 20 rad/s (B) 40 rad/s (C) 10 rad/s (D) 1 rad/s (E) 5 rad/s