A merry-go-round accelerates from rest to 0.69 rad/s in 31 s. Part A Assuming the merry-go-round is a uniform disk of radius 8.0 m and mass 3.10×104 kg, calculate the net torque required to accelerate it. Express your answer to two significant figures and include the appropriate units. T = HA Value Units ?
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31 s.
Part A
Assuming the merry-go-round is a uniform disk of
radius 8.0 m and mass 3.10×104 kg, calculate the net
torque required to accelerate it.
Express your answer to two significant figures and
include the appropriate units.
T
=
µÅ
Value
Units
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- Cons A constant torgue of 25 m - N is applied to the rim of a 15-kg uniform disk of radius 0.30 m. Part A What is the angular speed of the disk about an axis through its center after it rotates 2.0 revolutions from rest? Express your answer using two significant figures. Ην ΑΣφ rad/s Previous Answers Request Answer Submit X Incorrect; Try Again; 5 attempts remainingDario, 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, SThe 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 eBook
- Case 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 asapYou are installing a new spark plug in your car, and the manual specifies that it be tightened to a torque that has a magnitude of 39 N·m. Using the data in the drawing, determine the magnitude F of the force that you must exert on the wrench. N
- 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 40-N weight hangs from a (massless inelastic) cord that runs around the outside of a pulley. The pulley is a uniform solid disk of radius 12.8 cm and mass 6.5 kg. You may assume the system is released from rest. Determine the angular acceleration of the pulley. Express your answer in rad/s², to at least one digit after the decimal point. 40 NTo study torque experimentally, you apply a force to a beam. One end of the beam is attached to a pivot that allows the beam to rotate freely. The pivot is taken as the origin or your coordinate system. You apply a force of F = Fx i + Fy j + Fz k at a point r = rx i + ry j + rz k on the beam. Part a) Calculate the magnitude of the torque, in newton meters, when the components of the position and force vectors have the values rx = 3.71 m, ry = 0.075 m, rz = 0.085 m, Fx = 1.2 N, Fy = -7.6 N, Fz = 1.2 N. Part b) If the moment of inertia of the beam with respect to the pivot is I = 72 kg˙m^2, calculate the magnitude of the angular acceleration of the beam about the pivot, in radians per second squared.
- Ⓒ Macmillan Learning A pipe system consists of three pipes with lengths L₁ = 1.80 m, L₂ = 0.600 m, and L3 = 2.50 m. A plumber pulls on the end of the pipe system, at the point P, with a force Fp = -24.0 Ni + 45.0 Nj + 35.0 NK. What is the torque 7 due to Fp about the origin? Enter your expression using ijk unit vector notation. 7 = Incorrect 4₁ P -43.2i +27j +87.5k N.mA discus thrower starts from rest and begins to rotate with a constant angular acceleration of 2.4 rad/s2rad/s2 . Part A How many revolutions does it take for the discus thrower's angular speed to reach 5.0 rad/srad/s ? Express your answer using two significant figures. Part B How much time does this take? Express your answer using two significant figures.A pulley on a frictionless axle has the shape of a uniform solid disk of mass 2.60 kg and radius 20.0 cm. A 1.90 kg stone is attached to a very light wire that is wrapped around the rim of the pulley (Figure 1), and the system is released from rest. For related problemsolving tips and strategies, you may want to view a Video Tutor Solution of An unwinding cable ii. Part A How far must the stone fall so that the pulley has 5.00 J of kinetic energy? Express your answer with the appropriate units. HÅ h = .58 m 0 ?