A 2kg disk has a radius of 18cm and rotates with an angulas acceleration of 12 rad/s^2 about an axis through its center and peroendicular to the plane of the disk. Determine the tangential force at the rim of the disk.

Q: The moment of inertia of a solid sphere about an axis passing through the centre of gravity is 2/5MR…

A: By parallel axis theorem, the moment of inertia at 2R is I = (2MR2/5) + M(2R)2 I = 22MR2/5

Q: You stepped on the edge of a bicycle wheel (radius 0.622 m) to make it slow down. If you pressed…

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Q: 34. G0 A fan blade is rotating with a constant angular acceleration of +12.0 rad/sº. At what point…

A: Given - The angular acceleration of fan blade ,  Acceleration due to gravity , g = 9.80 m/s2

Q: If a baseball player pushes with 250N due North at a point 8.0cm due southeast of the pivot point of…

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Q: It begins to rotate around the vertical axis passing through the center of the cd in the horizontal…

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Q: Compute the angular velocity in rad/sec of the crank shaft of an automobile engine rotating at…

A: The angular velocity of the crankshaft is 4800 rev/min 1 revolution=2π1 minute=60 s

Q: A 75-kg grindstone (solid disk) has a radius of 0.300 m and is rotating at 3π rad/s. If a 180 N…

A: Given ; m = 75 kg,  R = 0.3m ,  ωo( initial angular  velocity ) = 3π rad/s ,  ωf( final angular…

Q: A truck tire has a radius of 1.06 m, and its center moves forward with a linear speed of 17.1 m/s.…

A: Radius of the tire is r = 1.06 m Linear speed of the center is v = 17.1 m/s Distance of point from…

Q: The figure shows a point mass undergoing non-uniform circular motion (i.e. it is speeding up) when a…

A: The linear acceleration is given as, a=Fm Relation between linear acceleration and angular…

Q: When a pitcher throws a curve ball, the ball is given a fairlyrapid spin. If a 0.15-kg baseball with…

A: Given mass of the ball m=0.15 kgRadius R=3.7 cm           R=0.037 mLinear speed V=48 m/sAngular…

Q: **80. mmh By means of a rope whose mass is neg- ligible, two blocks are suspended over a pulley, as…

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Q: A wheel starts from rest and has an angular acceleration that is given by a (t) = 6 rad/s")t The…

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Q: An automobile traveling at 40.0 km/h has tires of 90.0 cm diameter. (a) What is the angular speed of…

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Q: What is the torque about the origin of the force F (8.0i - 3.0j + 2.0k) N if it is applied at the…

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Q: A flywheel of mass 8 tonnes starts from rest, and gets up a speed of 180 r.p.m. in 3 minutes. Find…

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Q: The precession angular velocity of a gyroscope is 1.0 rad/s. If the mass of the rotating disk is 0.4…

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Q: If a force vector of F=40i-20j (N) is acted on an object at a distance of r=2i+3j (m) from the axis…

A: Given, Force vector and distance from the axis of rotation

Q: A couterclockwise torque of +1.10 N•m is applied to a bicycle wheel of radius 26 cm and mass 0.72…

A: Torque = 1.1 Nm Radius of ring = 26 cm = 0.26 m  mass = 0.72 Kg Moment of inertia of a ring = M R 2…

Q: A centrifuge rotor rotating at 9500 rpmrpm is shut off and is eventually brought uniformly to rest…

A: Given Initial velocity ωo =9500 rpm Torque τ = 2.28 Nm Mass of the cylinder M = 4.19 kg Radius of…

Q: Similar solid hemispheres, each with a mass of M and a radius of R, whose inertia moment when…

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Q: he precession angular velocity of a gyroscope is 1.1 rad/s. If the mass of the rotating disk is 0.5…

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Q: A wheel starts from rest and has an angular acceleration that is given by a (t) = 6 rad/s*)t< The…

A: poi

Q: Find the net torque on the wheel in Figure about the axle through O, taking a=10.0 cm and b=25.0 cm.

A: Given the value of 'a' = 10 cm. Given the value of 'b' = 25 cm.

Q: A car rounds a curve with a translational speed of 11.0 m/s. If the radius of the curve is 5.00 m,…

A: Given v = 11 m/s Radius r = 5 m

Q: Consider a disk (I = 1/2 M R4) of mass 13 kg and radius 0.21 m. The disk is rolling without slipping…

A: The torque on the disk can be written as, Here F is the force applied on the disk and R is the…

Q: A 429 kg merr-go-round in the shape of a solid disc is set in motion by applying a force…

A: Given Data : The mass of the merry-go-round is given as m = 429Kg. The radius of the merry-go-round…

Q: A tall, cylindrical chimney falls over when its base is ruptured. Treat the chimney as a thin rod of…

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Q: To polish a filling, a dentist attaches a sanding disk with aradius of 3.20 mm to the drill. (a)…

A: (a) Use the formula of the tangential speed to determine the tangential speed of the rim of the disk…

Q: A uniform, solid sphere of radius 4.00 cm and mass 4.50 kg starts with a purely translational speed…

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Q: A certain gyroscope consists of a uniform disk with a 50 cm radius mounted at the center of an axle…

A: The distance r from the center of the mass to the ground,

Q: A uniform, solid sphere of radius 5.75 cm and mass 3.75 kg starts with a purely translational speed…

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Q: A 90-kg grindstone (solid disk) has a radius of 0.400 m and is rotating at 4p rad/s. If a 190 N…

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Q: Two tangential forces F1 = 25 N and F2 = 10 N are applied to the rim of a solid cylinder of radius R…

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Q: A gymnast on the uneven parallel bars is at rest, tipped at a 45° angle from the vertical. The…

A: Given data: Angle from the vertical. θ=450 Distance from hands to feet, R=1.8 m Centre of gravity is…

Q: A uniform sphere with mass 28.0 kg and radius 0.380 m is rotating at constant angular velocity about…

A: The kinetic energy for a rotating body is given as K.E=12Iω2…

Q: the knee extensors insert on the tibia at an angle of 30 degrees (from the longitudinal axis of the…

A: Given an object of mass m, an effective radius r can be defined for an axis through its center of…

Q: A 25 lb solid sphere is at the top of an incline plan 5 ft high and 13 ft long. What linear speed…

A: Given Data: Solid sphere mass,   Inclined plane height,   Plane length,   Standard Data Used:

Q: In a manufacturing process, a large, cylindrical roller is used to flatten material fed beneath it.…

A: The relation between the angular displacement and time is given by θ=2.90t2-.900t3 Total angular…

Q: A uniform sphere with mass 28.0 kg and radius 0.380 m is rotating at constant angular velocity about…

A: mass, m = 28 kg  radius, r = 0.38 m  Kinetic energy, K = 236 J

Q: A small fan has blades that have a radius of 0.0600 m. When the fan is turned on, the tips of the…

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Q: A hollow cylinder that is rolling without slipping is given a velocity of 5.0 m/s and rolls up an…

A: According to the conservation of energy, rotational kinetic energy , translational kinetic energy…

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.