A uniform solid disk with a mass of 15.4 kg and a radius of 0.225 m is free to rotate about a frictionless axle. Forces of 90.0 and 125 N are applied to the disk, as the figure illustrates. Taking the clockwise direction to be the negative direction, what is (a) the net torque produced by the two forces and (b) the angular acceleration of the disk?
Q: 90° 125 N 90 90.0 N
A:
Q: A carnival merry-go-round has a large disk-shaped platform of mass 120 kg that can rotate about a…
A:
Q: A wind turbine is initially spinning at a constant angular speed. As the wind's strength gradually…
A: Given Data : The constant angular acceleration is given as α=0.178rads2. The Number of revolutions…
Q: When opening a door, you push on it perpendicularly with a force of 57.5 N at a distance of 0.75 m…
A: Given data: Force (F) = 57.5 N Distance (r) = 0.75 m Angle (θ) = 90°, Perpendicular Required:…
Q: A one-piece cylinder has a core section protruding from the larger drum and is free to rotate around…
A:
Q: Consider a merry-go-round with mass 30.00kg and radius 1.40m (the merry-go-round can be modeled as a…
A: Given Mass of the merry-go-round is m=30.00 kg. Radius of the merry-go-round is r=1.40 m. Applied…
Q: A 4 kg ball with a 0.45-meter radius is initially at rest begins to roll and accelerate at a uniform…
A:
Q: A 4 kg ball with a 0.45-meter radius is initially at rest begins to roll and accelerate at a uniform…
A:
Q: A soccer player extends her lower leg in a kicking motion by exerting a force with the muscle above…
A:
Q: The angular momentum vector of a precessing gyroscope sweeps out a cone as shown in the figure…
A: Given: Precessional frequency, wp= T/L Time Period, Tp = 2.58 X 104 Mass of earth , Me = 5.97 X 1024…
Q: A wheel of mass 1Kg and a radius of 0.5 meters is initially at rest. A constant torque of 6 Nm is…
A:
Q: A rotational axis is directed perpendicular to the plane of a square and is located as shown in the…
A: Disclaimer: “Since you have asked multiple question, we will solve the first question for you. If…
Q: A uniform disk of unknown mass and radius 0.511 m is rotating about a perpendicular axis through its…
A:
Q: Two men are raising a beam as shown. The magnitude of the tension in the right cord is 1000 N, the…
A: The force is orthogonal to the radius, thus the force will be in counter clockwise direction.Write…
Q: large stone disk is viewed from above and is initially at rest as seen in the figure below. The disk…
A:
Q: A typical propeller of a turbine used to generate electricity from the wind consists of three blades…
A: Given: Length of blade L=30 m Mass of blade m=400 Kg Angular speed w= 28 rev/min To find: a) Angular…
Q: Three children are riding on the edge of a merry‑go‑round that has a mass of 105 kg and a radius of…
A:
Q: The figure below shows forces acting at various points on a metal shaft. The angles ? = 48°, ? =…
A: Given data, Angels, α=48°β=35°γ=21° Length l=3.6 m
Q: A grinding wheel with rotational inertia I= 1.80 kg*m2 slows from a top speed of 2.50 x 103 rpm (262…
A: Given data: Rotational inertia (I) = 1.80 kg.m2 Initial angular velocity (ω0) = 262 rad/s Final…
Q: Mary is an avid game show fan and one of the contestants on a popular game show. She spins the…
A: The angle through which the wheel spin in 5.5 revolutions is, Δθ=5.52π rad=11π rad The equation of…
Q: A uniform solid disk with a mass of 29.5 kg and a radius of 0.407 m is free to rotate about a…
A:
Q: A hollow spherical shell (Ishell = 2/3 M R2) has a mass of 4.64 kg and radius 0.220 m. It is…
A:
Q: A 4 kg ball with a 0.45-meter radius is initially at rest begins to roll and accelerate at a uniform…
A:
Q: object whose moment of inertia is 4.40 kgm^2 is rotating with angular velocity 0.25 rad/s. It then…
A:
Q: the torque be in
A: We are given a wheel. It is speeding up by rotating clockwise. We have to find in what direction…
Q: A wind turbine is initially spinning at a constant angular speed. As the wind's strength gradually…
A:
Q: The distance from the angler's hand to the tip of the pole is L = 2.15 m. A fish is on the line,…
A: The relation between torque exerted by the fish and the force applied by the fish is given by,…
Q: An electric motor turns a flywheel through a drive belt that joins a pulley on the motor and a…
A: The given values are, M=81.0 kgR=0.625 mr=0.230 mTu=142 Nα=1.67 rad/s2I=12MR2=1281.0 kg0.625…
Q: On a playground, there is a merry‑go‑round. In order to get it moving, Bonnie applies a force of 15…
A: Applied force (F) = 15 N distance (d) = 5.9 m from the axis of rotation to the edge θ = 90o
Q: A large stone disk is viewed from above and is initially at rest as seen in the figure below. The…
A: Given M = 175 kg r = 2.5 m F = 40 N T = 61 s
Q: A large stone disk is viewed from above and is initially at rest as seen in the figure below. The…
A: mass (m) = 145 kg radius (r) = 2.2m F = 40 N t = 59 s
Q: The figure below shows top and side views of two disks. The larger disk has a rotational inertia of…
A:
Q: The tune-up specifications of a car call for the spark plugs to be tightened to a torque of 38 Nm.…
A: Given:ζ=38Nmr=25cm or 0.25mϕ=120°.
Q: A uniform rod is set up so that it can rotate about an axis at perpendicular to one of its ends. The…
A: Length of rod = 0.873 m Mass of rod = 1.11 kg Initial angular velocity = 0 rad/sec Final angular…
Q: A helicopter has two blades (see figure), each of which has a mass of 240 kg and can be approximated…
A: Given: The mass of each blade is 240 kg. The length of the blade is 6.7 m. The angular speed is 57…
Q: In the figure, block 1 has mass m1 = 0.460 kg, block 2 has mass m2 = 0.500 kg, and the pulley, which…
A:
Q: otational axis is directed perpendicular to the plane of a square as shown in the figure. Two…
A:
Q: force F = (7i + 3j + 3k) N is applied to a point with position vector r = (6i + 3j + k) m. Find the…
A: Torue vector is given as the cross product of displacement vector and force vector.
A uniform solid disk with a mass of 15.4 kg and a radius of 0.225 m is free to rotate about a frictionless axle. Forces of 90.0 and 125 N are applied to the disk, as the figure illustrates. Taking the clockwise direction to be the negative direction, what is (a) the net torque produced by the two forces and (b) the
Step by step
Solved in 3 steps
- Three children are riding on the edge of a merry-go-round that has a mass of 105 kg and a radius of 1.80 m. The merry-go-round is spinning at 20.0 rpm. The children have masses of 22.0, 28.0, and 33.0 kg. If the 28.0 kg child moves to the center of the merry-go-round, what is the new angular velocity in revolutions per minute? Ignore friction, and assume that the merry-go-round can be treated as a solid disk and the children as point masses. final angular velocity: грmThree children are riding on the edge of a merry‑go‑round that has a mass of 105 kg and a radius of 1.40 m . The merry‑go‑round is spinning at 16.0 rpm. The children have masses of 22.0, 28.0, and 33.0 kg . If the 28.0 kg child moves to the center of the merry‑go‑round, what is the new angular velocity in revolutions per minute? Ignore friction, and assume that the merry‑go‑round can be treated as a solid disk and the children as point masses. Note: 1 Revoultion = 2π radians 20.2 rpm 18.3 rpm 12.2 rpm 5.61 rpmThree children are riding on the edge of a merry‑go‑round that has a mass of 105 kg and a radius of 1.40 m . The merry‑go‑round is spinning at 24.0 rpm. The children have masses of 22.0, 28.0, and 33.0 kg. If the 28.0 kg child moves to the center of the merry‑go‑round, what is the new angular velocity in revolutions per minute? Ignore friction, and assume that the merry‑go‑round can be treated as a solid disk and the children as point masses.
- A solid disk with rotational moment of inertia of 14.1 kg m2 starts from rest and accelerates under a constant torque of 2.87 N m for a time interval 6.13 s. What is the disk's rotational kinetic energy (in Joules) at the end of the time interval?A motorcyclist is traveling along a road and accelerates for 4.22s to pass another cyclist . The angular acceleration of each wheel is +7.60 rad/s, and , just after passing, the angular velocity of each is +73.4 rad/s where the plus signs indicate counterclockwise directions. What is the angular displacement of each wheel during this time?A solid cylinder with a mass of 300.0g and a radius of 20.0cm is rotating at 50.0 rad/s. A metal hoop of mass 200.0g and radius 10.0cm, initially not rotating, is dropped onto the rotating solid cylinder so that their rotational axes align. Determine the angular speed of the 2 objects as they rotate together. Report your answer in radians per second, but only enter in the numerical value.
- Three children are riding on the edge of a merry-go-round that has a mass of 105 kg and a radius of 1.50 m. The merry-go-round is spinning at 18.0 rpm. The children have masses of 22.0, 28.0, and 33.0 kg. If the 28.0 kg child moves to the center of the merry-go-round, what is the new angular velocity in revolutions per minute? Ignore friction, and assume that the merry-go-round can be treated as a solid disk and the children as point masses. Question Credit: OpenStax College Physics 19.5 final angular velocity: rpm IncorrectTwo disks are free to rotate about an axis through their center. The inner disk has a radius a = 20 cm and a 60 N force is applied tangent to the rim as shown. The outer disk has radius b = 40 cm and a force of magnitude F is applied tangent to its rim. What value of F is required to give zero net torque about the center?A uniform rod is set up so that it can rotate about an axis at perpendicular to one of its ends. The length and mass of the rod are 0.701 m and 1.29 kg , respectively. A force of constant magnitude ?F acts on the rod at the end opposite the rotation axis. The direction of the force is perpendicular to both the rod's length and the rotation axis. Calculate the value of ?F that will accelerate the rod from rest to an angular speed of 6.59 rad/s in 8.95 s.
- A wheel of radius 0.136 m is mounted on a frictionless horizontal axle. The rotational inertia of the wheel about the axle is 0.051 kg m². A massless cord wrapped around the wheel is attached to a 0.876 kg block that slides on a horizontal frictionless surface. If a horizontal force of magnitude P = 2.03 N is applied to the block as shown in the figure then what is the magnitude of the angular acceleration of the wheel? O a. 4.11 rad/s^2 O b. 3.97 rad/s^2 O c. 2.02 rad/s^2 O d. 1.62 rad/s^2 O e. 7.93 rad/s^2A hoop with radius 2 meters and mass 10 kg can rotate about an axle passing through its center and perpendicular to the hoop. There are three forces acting on the hoop as shown in the figure below. What is the magnitude of the resulting angular acceleration of the hoop? (The rotational inertia of a hoop rotating about an axis through its center is I-MR^2).The figure gives angular speed versus time for a thin rod that rotates around one end. (a) What is the magnitude of the rod's angular acceleration? (b) At t = 4.0 s, the rod has a rotational kinetic energy of 6.89 J. What is its kinetic energy at t = 0?