A diver comes off a board with arms straight up and legs straight down, giving her a moment of inertia about her rotation axis of 18 kg-m². She then tucks into a small ball, decreasing this moment of inertia to 3.6 kg m². While tucked, she makes two complete revolutions in 1.0 s. Part A If she hadn't tucked at all, how many revolutions would she have made in the 1.7 s from board to water? Express your answer using two significant figures. 15] ΑΣΦ N= ? rev
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- A 0.74-m-diameter solid sphere can be rotated about an axis through its center by a torque of 12.8 m * N which accelerates it uniformly from rest through a total of 160 revolutions in 16.0 s. Part A What is the mass of the sphere? Express your answer to two significant figures and include the appropriate units. M = O μA Submit Value Units Request Answer ?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 wind turbine has 12,000 kg blades that are 37 m long. The blades spin at 22 rpm. Part A If we model a blade as a point mass at the midpoint of the blade, what is the inward force necessary to provide each blade's centripetal acceleration? Express your answer with the appropriate units. F= Valye HÅ Submit Request Answer Provide Feedback G → Units ? N
- B1The 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.Dario, a prep cook at an Italian restaurant, spins a salad spinner and observes that it rotates with constant speed 20.0 times in 5.00 seconds and then stops spinning it. The salad spinner rotates 6.00 more times before it comes to rest. Assume that the spinner slows down with constant angular acceleration. Part A What is the magnitude of the angular acceleration of the salad spinner as it slows down? Express your answer numerically in radians per second per second. ▸ View Available Hint(s) a = 8.38 radians/s² Submit ✓ Correct Part B Previous Answers How long does it take for the salad spinner to come to rest? Express your answer numerically in seconds. ▸ View Available Hint(s) t = Templates Symbols undo redo reset keyboard shortcuts help, S
- A 110 g ball and a 240 g ball are connected by a 40-cm-long, massless, rigid rod. The balls rotate about their center of mass at 150 rpm. Part A What is the speed of the 110 g ball? Express your answer to two significant figures and include the appropriate units. V = μA Value Units ?A 1550-kg car rounds a circular turn of radius 155 m, toward the left, on a horizontal road. Its angular momentum about the center of the turn has magnitude 2.86 x 10 kg m²/s. What is the direction of the car's angular momentum? O toward the center of the turn Overtically downward Submit Previous Answers vertically upward away from the center of the turn ✓ Correct Part B What is the speed of the car? Express your answer with the appropriate units. V= Part C 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 Value Submit LfinaF What is the magnitude of the car's angular momentum about the center of the turn, once it's exited the turn and is on a straight stretch of the road? Express your answer with the appropriate units. Submit Units Request Answer for Part C for Part Cundo for Part C redo for Part C reset for Part C keyboard shortcuts for Part C help for Part C Units Value Request AnswerA bucket of water with a mass of 2.36 kg is attached to a rope that is wound around a cylinder. The cylinder has a mass of 3.00 kg and is mounted horizontally on frictionless bearings. The bucket is released from rest. A) Find the speed of the bucket after it has fallen through a distance of 0.800 m. in m/s B) What is the tension in the rope? in N C) What is the acceleration of the bucket? Enter a positive value if the acceleration of the bucket is upward and enter a negative value if the acceleration of the bucket is downward. in m/s^2
- In a charming 19th-century hotel, an old-style elevator is connected to a counterweight by a cable that passes over a rotating disk 2.00 m in diameter (Figure 1). The elevator is raised and lowered by turning the disk, and the cable does not slip on the rim of the disk but turns with it. Part A At how many rpm must the disk turn to raise the elevator at 35.0 cm/s? Express your answer in revolutions per minute. Nνα ΑΣφ W = rpm Part B Figure 1 of 1 To start the elevator moving, it must be accelerated at g. What must be the angular acceleration of the disk, in rad/s? Express your answer in radians per second squared. Πν ΑΣφ ? Disk a = rad/s? Counterweight Part C ElevatorA 150 g ball and a 200 g ball are connected by a 37-cm -long, massless, rigid rod. The balls rotate about their center of mass at 120 rpm. Part A What is the speed of the 150 g ball? Express your answer to two significant figures and include the appropriate units. HA ? Value UnitsA BY NC SA 2021 Joe Graber -X- rad A car tire travels with a clockwise angular rotation of w 10 and an angular deceleration of a = 15 rad 82 The radius of the tire is r = 0.55 m and at the instant shown, 0 42° a. Find the acceleration of point A as a cartesian vector. 3) m AA i +