A bucket filled with water has a mass of 23 kg and is attached to a rope, which in turn, is wound around a 0.050-m radius cylinder at the top of a well. What torque does the weight of water and bucket produce on the cylinder if the cylinder is not permitted to rotate? (g = 9.8 m/s2) A)11 Nm B)34 Nm C)17 Nm D)23 Nm
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- A solid sphere of mass 2.0 kg and radius 0.010 m rolls with a speed of 16 m/s. How high up an inclined plane can it climb before coming to rest? A) 7.1 m B) 71 m C) 18.29 m D) 0.71 mA thin cylindrical ring starts from rest at a height h1 = 77 m. The ring has a radius R = 28 cm and a mass M = 3 kg. a) Given h2 = 47 m, what is the velocity of the ring at point 2 in m/s? b) What is the ring's rotational velocity in rad/s at point 2? c) After passing point 2 the hill becomes frictionless and the ring's rotational velocity remains constant. What is the linear velocity of the ring at point 3 in m/s?2) A 3.00 kg uniform silver disk made from an alloy of copper and zinc is attached to the center of a motor made by Honda. Assume the radius of the disk to be 22.0 cm. The motor exerts a constant torque of 1.00 Nm which accelerates the disk uniformly from rest. a) What is the time required for the disk to reach an angular speed of 8.00 x 102 rpm? b) What is the number of revolutions through which the disk spins before reaching this angular speed?
- *Chapter 10, Problem 31 ZYour answer is partially correct. Try again. A disk, with a radius of 0.25 m, is to be rotated like a merry-go-round through 200 rad, starting from rest, gaining angular speed at the constant rate 1 through the first 100 rad and then losing angular speed at the constant rate -1 until it is again at rest. The magnitude of the centripetal acceleration of any portion of the disk not to exceed 400 m/s2. (a) What is the least time required for the rotation? (b) What is the corresponding value of C1 ? (a) Number Units (b) Number Units Trad/s^2QUESTION 23 Three external forces are acting on a uniform, 0.60-kg, 30-cm-long, thin rod that is rotating about an axis perpendicular to the plane of the page and through its center as shown in the diagram below. What is the 1 mL where L is the length of the rod 12 angular acceleration of the disk about the given axis? Hint: /cm.rod %3D and m is the mass of the rod. Uniform Rod +15 cm 12 cm 300 Аxis 2.5 N 4.0 N 2.0 N a. 13,3 rad/s2q4
- 18) Consider an adult and a child riding their bikes. The adult's bicycle has tires with an outer diameter of 700 centimeters. The child's bicycle has tires with an outer diameter of 350 centimeters. The adult bicycle's tires are rotating with an angular velocity of 4.0 radians per second. If the child cyclist is traveling along the road at the same speed as the adult, then what angular velocity must the child's bicycle's tires be rotating at? [Assume the tires are rotating without slipping as the cyclists ride]. A) 1.0 radians second per B) 2.0 radians per second C) 4.0 radians per second D) 8.0 radians per second E) 16.0 radians per second abnoose e GA rotating space station is said to create “artificial gravity”—a loosely-defined term used for an acceleration that would be crudely similar to gravity. The outer wall of the rotating space station would become a floor for the astronauts, and centripetal acceleration supplied by the floor would allow astronauts to exercise and maintain muscle and bone strength more naturally than in non-rotating space environments. If the space station is 200 m in diameter, what angular velocity would produce an “artificial gravity” of 9.80 m/s2 at the rim?A rock tied to the end of string swings at a constant angular rate. If you are told that the string can support a total of 85 N of force before breaking, what is the maximum angular velocity the rock can rotate if the rock has a mass of 0.16 kg, and the length of the string is 0.5 m? Give your answer in units of radian per second
- 462) A bicycle has wheels with radius of r=0.25m, and the bicycle is traveling at a constant speed of vb=4.00m/s. a) What is the angular speed of the wheels? b) What is the acceleration of a point on the outside edge of the bicycle tire? Draw a pictorial representation of the acceleration and velocity vectors at that point. c) The wheel slows down. Draw a pictorial representation of where the acceleration and velocity vectors now point. (for the same point on the outside edge of the bicycle tire).10 The diameter of the main propeller of a helicopter is 6 m and its rotation speed is 600 rpm. What is the speed of the propeller blade? A) 90 m/s B) 120 m/s C) 180 m/s D) 60 m/s E) 150 m/s