13.A pottery wheel with a moment of inertia of 4 kg.m² and a radius of 0.2m is rotating at 40 rev/min; you wrap your finger with a wet towel and exert a radial force of 8.5N by pressing against the rim of the wheel to stop the rotation. If the coefficient of static friction between the wheel and the towel is 0.35, (I) calculate the maximum torque due to friction. (II)What is the least amount of time for the wheel to come to a stop? (III) How many revolutions the wheel has completed before it stops? (IV) What is the rotational work done by the torque causing the wheel to stop? 8.5N

Q: 4. Supposed the right cable exerts a force of 200 [N] tangential to the outer edge of a 20[kg]…

A: Given: The mass of the pulley is 20 kg. The radius of the pulley is 0.1 m. The force exerted by the…

Q: A wheel of radius 0.250 m, moving initially at 43.0 m/s, rolls to a stop in 225 m. Calculate the…

A:

Q: Calculate the rotational kinetic energy in the motorcycle wheel if its angular velocity is 120…

A: The moment of inertia of the wheel is given by Iwheel=MR12+R222

Q: *83 about axes that pass through their centers. Each has a radius of 0.20 m ssm Two spheres are each…

A: Given data: The angular speed is, Ѡ0= 24 rad/s The radius is, R=0.20 m The mass is, m=1.4 kg The…

Q: 2. A 43.0 kg wheel, essentially a thin hoop of radius 1.50 m, is rotating at 380 revs/min. It must…

A:

Q: A model airplane with mass 0.750-kg is tethered by a wire so that it flies in a circle of radius…

A: Net force on airplane in tangential direction:Fnet=0.800 Ntangential acceleration:aT=Fnetm

Q: *13. Two people start at the same place and walk around a circular lake in opposite directions. One…

A: It is given that,

Q: A student holds a bike wheel and starts it spinning with an initial angular speed of 7.0 rotations…

A: Given data: The initial angular speed is ni=7.0 rotation per second. The time taken is t=10.0 s.…

Q: 23.8° The wheel rolls with no slip. Rod AO drives the wheel such that the velocity of the rod (and…

A:

Q: 5. What would happen to the rotation of the Earth if the ice caps at the North Pole and South Pole…

A: If ice of north pole and South Pole melt then Water go to ocean Then moment of inertia of earth…

Q: 12) The diagram below shows five 20-kg rods of the same 2.0-m length free to rotate about axes…

A: Given, A rod has 2 meter length and 20 kg mass and it is free to rotate by gravity

Q: how to do ??? 1D material stick (Evenly having a mass of 1 kg) (length L = 1 m) (spindle A through…

A: The solution can be given as follows:-

Q: -1 A constant torque applied to a rotor for 50.0s causes the rotor to reach a final rotational…

A:

Q: 1. Find the net torque on the wheel about the axis O shown below. Include the associated direction…

A:

Q: 4- Find the net torque on the wheel shown in figure about the axle through () if a = 12.0 cm and b…

A: Consider the torque in the clockwise direction is positive and in the counterclockwise direction it…

Q: 2. Starting from rest, a point on a disk attains an angular speed of 33.3 revs/minute over an…

A:

Q: You hold a 1.80-N softball in your hand as shown in the fiqure. Consider your forearm and hand to be…

A:

Q: (II) A dad pushes tangentially on a small hand-drivenmerry-go-round and is able to accelerate it…

A:

Q: 6) As shown in the figure below, a person pulls on a solid cylindrical wheel initially at rest…

A: Since you have posted a question with a multiple sub parts, we will solve first three sub - parts…

Q: A wheel that was initially at rest began to rotate with constant angular acceleration. Calculate the…

A: Initial angular velocity, ω=0 rad/s Final angular velocity, ω'=14 m/s Time taken to reach 14 rad/s,…

Q: A grinding wheel is a uniform cylinder with a radius of 6.10 cmcm and a mass of 0.450 kgkg . prt 1 -…

A: Given information: Consider τ amount of torque needed to accelerate the grinding wheel from rest to…

Q: If it is spinning with an angular acceleration of 2.6rad/s, determine the torque on a 10.9kg sphere…

A: Angular acceleration, α = 2.6 rad/s² Mass, m = 10.9 kg Radius, r = 0.757 m Torque, τ = ?

Q: received a magical top from santa. he spins the top at angular velocity of 50.0 rad/s. it…

A: Given that- Angular velocity (ω₀)= 50 rad/sec Angular deacceleration(α)= 5 rad/sec^2 To determine…

Q: 6. From rest, a tennis player swings a club which moves uniformly through 1.25 revolutions in 0.20…

A:

Q: 82. What force must be applied to end of a rod along the x-axis of length 2.0 m in order to produce…

A:

Q: An ice-skater starts her pirouette with arms outstretched, rotating at 1.9 rev/s. Estimate her…

A: The net torque acting on the ice skater is constant, hence angular momentum is constant

Q: A bicycle with 40.20 cm diameter wheels is traveling at 11.80 km/hr. At what angular speed do the…

A:

Q: A 14.0 Nm torque is applied to a rod (mass = 8.79 and length 1.510 m) that rotates about its end.…

A:

Q: A turntable must spin at 33 turntable is to reach its final angular speed in 2.30 revolutions,…

A: Expression for angular acceleration of the disk is α=ωf2-ωi22∆θ Expression for torque τ=Iα=12md24α…

Q: 31. A 150-kg merry-go-round in the shape of a uniform, Msolid, horizontal disk of radius 1.50 m is…

A: Given: mass, m = 150 kgradius = 1.50 mAngular speed  = 0.5 rev/sTime, t = 2 sFind: The force exerted…

Q: 22. An object travels a distance of 3 m in 6 s as it moves along a path of radius 5 ft. Calculate…

A:

Q: A uniform, solid sphere of radius 5.25 cm and mass 5.00 kg starts with a purely translational speed…

A: A rigid body can undergo a combination of both translational and rotational motion. In translational…

Q: 4- A disc accelerates uniformly from 300 revolutions per minute to 600 revolutions per minute in 25…

A: Given: A disc accelerate uniformly from 300 revolutions per minute to 600 revolutions per minute in…

Q: 34. A disk having moment of inertia 100 kg - m2 is free to rotate without friction, starting from…

A: a)Relationship between revolutions and radians is,

Q: * 13. Two people start at the same place and walk around a circular lake in opposite directions. One…

A: The expression for  the angular velocity is written as, Here, θ and t represent the angular…

Q: The angular position of a point on a wheel is given as 0= 5 + 10t + 2t^2 (rad). If the point is 0.5…

A: Given  θ=5 + 10t + 2t2

Q: A person walks into a room and switches on the ceiling fan. Thefan accelerates with constant angular…

A: Given data The time taken to accelerate the fan is: t1 = 15 s The operating angular speed of the fan…

Q: 12–158. An airplane is flying in a straight line with a velocity of 200 mi/h and an acceleration of…

A:

Q: 1. Express the kinetic energy of the body rotating about an axis through its center of mass. II.…

A: According to the conservation of energy,  12mv2+12Isωs2+12Ipωp2=mgh…

Q: 2. Two equal 4N forces act on a wheel as shown. The diameter of the wheel is 0.6m. The wheel starts…

A:

Q: A 4kg ball with a 0.45-meter radius is initially at rest begins to roll and accelerate at a uniform…

A: Write a given value of this question. m=4kgr=0.45mωi=10 rad/st=5sIb=0.243kgm2 Final angular speed of…

Q: 12) A wheel rotates at an angular velocity of 30 rad/s. If an acceleration of 26 rad/s is applied to…

A:

Q: In the figure, wheel A of radius ra = 13.9 cm is coupled by belt B to wheel Cof radius rc = 24.4 cm.…

A: The point of contact of the belt B and the wheels will have same velocity , that is there is no…

Q: In the figure, wheel A of radius ra = 13.3 cm is coupled by belt B to wheel Cof radius rc=20.4 cm.…

A:

Q: 7- If a disk rotates at a constant rate of 1290 rev/min about its central axis. Then its angular…

A: Given, A disk rotate at a constant rate of 1290 rev/min about it's central axis.

Q: A disc with 0.6 kg m^2 moment of inertia is free to rotate about its center. Two forces F1=5N and…

A: The expression for the required angular acceleration,

Q: A sphere of mass 5.0 kg rolls without slipping on a floor. Suppose its center of mass is moving at…

A: Ans:- Image-1

Q: Part A e net torque on the 4.0-m-long uniform beam shown in gure 1). Calculate about point C, the cm…

A:

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.