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- A uniform disk with radius 0.800 m and mass 30.0 kg rotates in a horizontal plane on a frictionless vertical axle that passes through the center of the disk. The angle through which the disk has turned varies with time according to 0(t) = (1.10 rad/s)t + (6.30 rad/s²)t². Part A What is the resultant linear acceleration of a point on the rim of the disk at the instant when the disk has turned through 0.100 rev? Express your answer with the appropriate units. a = μA Value Submit Request Answer = Units ?At its lowest setting a centrifuge rotates with an angular speed of ω1 = 350 rad/s. When it is switched to the next higher setting it takes t = 12.5 s to uniformly accelerate to its final angular speed ω2 = 750 rad/s. a. Calculate the angular acceleration of the centrifuge a1 in rad/s2 over the time interval t b. Calculate the total angular displacement (in radians) of the centrifuge, Δθ, as it accelerates from the intial to the final speed.A lawn mower has a flat, rod-shaped steel blade that rotates about its center. The mass of the blade is 0.65 kg and its length is 0.55 m. You may want to review (Pages 314 - 318). Part A What is the rotational energy of the blade at its operating angular speed of 3460 rpm ? Express your answer using two significant figures. Kr= Submit Part B v Templates Symbols undo redo reset keyboard shortcuts help y = Request Answer If all of the rotational kinetic energy of the blade could be converted to gravitational potential energy, to what height would the blade rise? Express your answer using two significant figures. J Templates Symbols undo redo reset keyboard shortcuts help m
- The angular speed of a propeller on a boat increases with constant acceleration from 14 rad/srad/s to 35 rad/srad/s in 2.6 revolutions. Part A What is the angular acceleration of the propeller? Express your answer in radians per second squared.The radius of a park merry-go-round is 2.5 m. To start it rotating, you wrap a rope around it and pull with a force of 260 N for 20 s. During this time, the merry-go-round makes one complete rotation. (a) Find the angular acceleration of the merry-go-round. rad/s2 (b) What is the magnitude of the torque exerted by the rope on the merry-go-round? N-m (c) What is the moment of inertia of the merry-go-round? kg-m2 eBookQuestion 2 C Slowing down The figure provided shows a rotating wheel. Which statement below is true for the angular velocity and angular acceleration? The angular velocity and angular acceleration are both negative. The angular velocity and angular acceleration are both positive. The angular velocity is positive and the angular acceleration is negative. The angular velocity is negative and the angular acceleration is positive. Question 3 The fiqure provided shows
- A rotating door is made from four rectangular glass panes, as shown in the figure. The mass of each pane is 94.8 kg. A person pushes on the outer edge of one pane with a force of F = 71.7 N that is directed perpendicular to the pane. Determine the magnitude of the door's angular acceleration. 1.2 m 1.2 m Number i UnitsCase 1: A DJ starts up her phonograph player. The turntable accelerates uniformly from rest, and takes t1 = 11.6 seconds to get up to its full speed of f1 = 78 revolutions per minute. Case 2: The DJ then changes the speed of the turntable from f1 = 78 to f2 = 120 revolutions per minute. She notices that the turntable rotates exactly n2= 12 times while accelerating uniformly. a. Calculate the magnitude of the angular acceleration of the turntable (in radians/second2) while increasing to 120 RPM (Case 2). b. How long (in seconds) does it take for the turntable to go from f1 = 78 to f2 = 120 RPM?Please asap
- A metal disc in a playground with a mass of 45 kg and a diameter of 4 meters is rotating on its central frictionless axis with an initial angular velocity of 3 rad/s. A child with a mass of 14 kg suddenly jumps unto the disc and stands on the edge. a.What is the new angular velocity of the disc with the kid on it? b. What is the tangential velocity of the kid as he rides the disc?A merry-go-round accelerates from rest to 0.70 rad/s in 30 s. Part A Assuming the merry-go-round is a uniform disk of radius 8.0 m and mass 3.20×104 kg , calculate the net torque required to accelerate it. Express your answer to two significant figures and include the appropriate units.A 2.6-m-diameter merry-go-round with rotational inertia 140 kg. m² is spinning freely at 0.60 rev/s. Four 25-kg children sit suddenly on the edge of the merry-go-round. Part A Find the new angular speed. Express your answer using two significant figures. V= for Part A for Part A undo for Part A redo for Part A reset for Part A keyboard shortcuts for Part A help for Part A Submit Part B Determine the total energy lost to friction between the children and the merry-go-round. Express your answer using two significant figures. AK = Request Answer Submit rev/s for Part B for Part B undo for Part B redo for Part B reset for Part B keyboard shortcuts for Part B help for Part B Request Answer J