You have a wheel with two torques acting on it. The first torque, 40 N ·...
You have a wheel with two torques acting on it. The first torque, 40 N · m, is due to a motor, and this torque has a direction that tends to increase the rotational velocity of the wheel. The second torque is due to friction on the axle, so that it tends to diminish the rotational velocity, and it has a magnitude of 14 N · m. (a) What is the magnitude of the net torque acting on the wheel? N · m (b) If the wheel is observed to accelerate at a rate of 3 rad/s2 under the influence of these torques, what is the rotational inertia of the wheel? kg · m2?
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You have a wheel with two torques acting on it. The first
torque, 40 N ·...
A torque of 35.9 N · m is applied to an initially motionless wheel which rotates...
A torque of 35.9 N · m is applied to an initially motionless wheel which rotates around a fixed axis. This torque is the result of a directed force combined with a friction force. As a result of the applied torque the angular speed of the wheel increases from 0 to 10.3 rad/s. After 6.20 s the directed force is removed, and the wheel comes to rest 60.2 s later. (a) What is the wheel's moment of inertia (in kg...
A torque of 35.9 N · m is applied to an initially motionless wheel which rotates...
A torque of 35.9 N · m is applied to an initially motionless wheel which rotates around a fixed axis. This torque is the result of a directed force combined with a friction force. As a result of the applied torque the angular speed of the wheel increases from 0 to 9.7 rad/s. After 6.10 s the directed force is removed, and the wheel comes to rest 60.2 s later. (a) What is the wheel's moment of inertia (in kg...
A child pushes her friend (m = 25 kg) located at a radius r = 1.5...
A child pushes her friend (m = 25 kg) located at a radius r = 1.5 m on a merry-go-round (rmgr = 2.0 m, Imgr = 1000 kg*m2) with a constant force F = 90 N applied tangentially to the edge of the merry-go-round (i.e., the force is perpendicular to the radius). The merry-go-round resists spinning with a frictional force of f = 10 N acting at a radius of 1 m and a frictional torque τ = 15 N*m...
A large grinding wheel in the shape of a solid cylinder of radius 0.330 m is...
A large grinding wheel in the shape of a solid cylinder of radius 0.330 m is free to rotate on a frictionless, vertical axle. A constant tangential force of 290 N applied to its edge causes the wheel to have an angular acceleration of 0.860 rad/s2. (a) What is the moment of inertia of the wheel? kg · m2 (b) What is the mass of the wheel? kg (c) If the wheel starts from rest, what is its angular velocity...
A motor provides the torque necessary to keep a gear turning at constant angular velocity, overcoming...
A motor provides the torque necessary to keep a gear turning at
constant angular velocity, overcoming friction between the gear and
the axle.
The gear can be modeled as a disk, with mass 2 kg, and radius
rg = 0.2 m. The force of friction can be
modeled as a single force, acting at the outer edge of the axle, at
position ra = 0.02 meters, with force of
fk = 10 N.
a) What is the magnitude of the...
Chapter 8-Part 2 A large grinding wheel in the shape of a solid cylinder of radius...
Chapter 8-Part 2 A large grinding wheel in the shape of a solid cylinder of radius 0.33 meter is free to rotate on a frictionless, vertical axle. A constant tangential force of 250 N applied to its edge causes the wheel to have an angular acceleration of 0,94 rad/s2. (a) What is the torque being applied to the wheel? (b) What is the moment of inertia of the wheel? ANS: (a) 82.5 Nm; (b) 87.8 kg-m2 A 2,000 kg Ferris...
The lightweight wheel on a road bike has a moment of inertia of 0.097 kg⋅ m...
The lightweight wheel on a road bike has a moment of inertia of 0.097 kg⋅ m 2 . A mechanic, checking the alignment of the wheel, gives it a quick spin; it completes 5 rotations in 2 s . To bring the wheel to rest, the mechanic gently applies the disk brakes, which squeeze pads against a metal disk connected to the wheel. The pads touch the disk 7.1 cm from the axle, and the wheel slows down and stops...
Q3: In the figure, a constant horizontal force of magnitude 16 N applies to a wheel...
Q3: In the figure, a constant horizontal force of magnitude 16 N applies to a wheel of mass8 kg and radius 0.4 m from its center of mass. The wheel rolls smoothly on the horizontal surface. If the rotational inertia of the wheel is 0.85 kg.m2, find the a) linear and angular acceleration of the wheel, b) direction and magnitude of the frictional force on the wheel? Answer: a) a = 1.2 in/s2 and α = 3 rad/s. b) 6.4...
A heavy turntable, used for rotating large objects, is a solid cylindrical wheel that can rotate...
A heavy turntable, used for rotating large objects, is a solid cylindrical wheel that can rotate about its central axle with negligible friction. The radius of the wheel is 0.330 m. A constant tangential force of 200 N applied to its edge causes the wheel to have an angular acceleration of 0.896 rad/s2. (a) What is the moment of inertia of the wheel (in kg ·m2)? kg · m2 (b) What is the mass (in kg) of the wheel? kg...
A motor provides the torque necessary to keep a gear turning at
constant angular velocity, overcoming friction between the gear and
the axle.
The gear can be modeled as a disk, with mass 2 kg, and radius
rg = 0.2 m. The force of friction can be
modeled as a single force, acting at the outer edge of the axle, at
position ra = 0.02 meters, with force of
fk = 10 N.
a) What is the magnitude of the...
Chapter 8-Part 2 A large grinding wheel in the shape of a solid cylinder of radius 0.33 meter is free to rotate on a frictionless, vertical axle. A constant tangential force of 250 N applied to its edge causes the wheel to have an angular acceleration of 0,94 rad/s2. (a) What is the torque being applied to the wheel? (b) What is the moment of inertia of the wheel? ANS: (a) 82.5 Nm; (b) 87.8 kg-m2 A 2,000 kg Ferris...
Q3: In the figure, a constant horizontal force of magnitude 16 N applies to a wheel of mass8 kg and radius 0.4 m from its center of mass. The wheel rolls smoothly on the horizontal surface. If the rotational inertia of the wheel is 0.85 kg.m2, find the a) linear and angular acceleration of the wheel, b) direction and magnitude of the frictional force on the wheel? Answer: a) a = 1.2 in/s2 and α = 3 rad/s. b) 6.4...
A heavy turntable, used for rotating large objects, is a solid cylindrical wheel that can rotate about its central axle with negligible friction. The radius of the wheel is 0.330 m. A constant tangential force of 200 N applied to its edge causes the wheel to have an angular acceleration of 0.896 rad/s2. (a) What is the moment of inertia of the wheel (in kg ·m2)? kg · m2 (b) What is the mass (in kg) of the wheel? kg...
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