Determine whether the propeller in the following situations is in equilibrium or not. Justify your answer: The propeller is at rest The propeller is rotating with constant angular velocity. The propeller is rotating with increasing angular velocity.

Q: A bicycle tire is spinning clockwise at 4.00 rad/s. During a time period At = 2.20 s, the tire is…

A: In this case, the a tire is spinning clock wise, then the tire is stopped and spun in the opposite…

Q: A wheel is rotating freely at angular speed 890 rev/min on a shaft whose rotational inertia is…

A: Part A. Use conservation of angular momentum  as follows: Total initial angular momentum = Total…

Q: A rotor has an inner radius of 10.0 cm and an outer radius of 25.0 cm. It is fixed to a frictionless…

A: Given data F1=35 NF2=25 NF3=15.5 NF4=12.5 NF5=37.5 Nr1=10 cm=0.1 mr2=25 cm=0.25 mI=0.0235 kgm2…

Q: A slingshot is being whirled around in uniform circular motion. Which of the following statements…

A: 1)  correct answer is............. the net torque is zero, but the net force is non zero 2) solid…

Q: Your electric drill rotates initially at 5.19 rad/s. You slide the speed control and cause the drill…

A: Equation off kinematics for rotational motion is as follows; θ=ωo2t+12αt2…

Q: A diver can change his rotational inertia by drawing his arms and legs close to his body in the tuck…

A:

Q: A model airplane with mass 0.749 kg is tethered to the ground by a wire so that it flies in a…

A: Given data The model airplane has a mass of m = 0.749 kg. The radius of the horizontal circle is r =…

Q: A wheel is rotating freely at angular speed 420 rev/min on a shaft whose rotational inertia is…

A: a) The angular momentum of system was conserved because there is no external torque acts on the…

Q: Suppose a child gets off a rotating merry-go-round. Does the angular velocity of the merry-go-round…

A:

Q: A small 380-gram ball on the end of a thin, light rod is rotated in a horizontal circle of radius…

A:

Q: The angular speed of a rotor in a centrifuge increases from 426 to 1370 rad/s in a time of 5.49 s.…

A:

Q: A flywheel with a diameter of 1.00 m and initially rotating at an angular speed of 500 revolutions…

A: The centripetal force is the net force acting on an object which is moving in a circular motion. The…

Q: A spinning disk is rotating at a rate of 4 rad/s in the clockwise direction as shown in the figure.…

A: Given : Rotating speed, ωi=4 rad/s Direction of rotation is CW

Q: What will happen if an ice skater spinning on one of her toes extends her arms? a. Her moment of…

A: Expression for angular velocity -  ω=vr .....(1) Expression for moment of inertia -  L=Iω .....(2)…

Q: A flywheel of radius 27.5 cm accelerates from rest to 2450 rpm in 2.5 s. a)  Calculate the…

A:

Q: 1. A flywheel with a diameter of 1.5 m is rotating at a rate of wo = 30 rad/s. It slows down due to…

A:

Q: A circular saw blade completes 1500 revolutions in 30 seconds while coasting to a stop after being…

A: Frequency  blade  f = 1500/30 = 50 Hz (a) direction of angular velocity is  perpendicular to the…

Q: A playground merry-go-round has radius 2.80 m and moment of inertia 2900 kg⋅m2 about a vertical axle…

A: Given:The radius of the merry-go-round is, R = 2.8 mThe moment of inertia of the merry-go-round is,…

Q: A dentist's drill starts from rest. After 3.20 s of constant angular acceleration, it turns at a…

A: Given Data Initial angular speed is ωi=0 Final angular speed of the drill is, ωf=2.51×103 rev/min…

Q: Describe the radial acceleration, tangential acceleration, and total acceleration vectors for a…

A: Let the radius of the point from the centre of the disk is r. The angular velocity is denoted by ω.…

Q: A wheel is rotating freely at angular speed 500 rev/min on a shaft whose rotational inertia is…

A:

Q: Suppose a child gets off a rotating merry-go-round. Does the angular velocity of the merry-go-round…

A: When the child jumps off radially no torques on the merry-go-round, hence according to the law of…

Q: A wheel (J )of radius IS tangentially (l) by two forces: F, = 100 N and F2 = 200 N as shown in the…

A: Given  The moment of inertia about the center is  I = 15 kg m²  Radius of the wheel = R = 1 m…

Q: A dentist’s drill starts from rest. After 3.20 s of constant angular acceleration, it turns at a…

A:

Q: The angular position as a function of time of a rotating cylinder is giving by: θ(t) =…

A:

Q: A uniform, solid sphere of radius 5.00 cm and mass 3.00 kg starts with a translational speed of 3.00…

A:

Q: A dentist’s drill starts from rest. After 3.20 s of constant angular acceleration, it turns at a…

A:

Q: The 4.00-cm-long second hand on a watch rotates smoothly. What is its angular speed? Express your…

A:

Q: A flywheel with a diameter of 0.679 m is rotating at an angular speed of 221 rev/min. (a) What is…

A: Angular speed is the rate at which an object changes it angles which we measure in radians in a…

Q: The figure shows two blocks hanging from the ends of a uniform rod of mass M. The rod rests on the…

A: First, evaluate the rod’s total length (L) as the sum of L1 and L2, and hence, evaluate the distance…

Q: A flywheel which is initially rotating at 150 rad·s −1 is slowed down with a constant angular…

A:

Q: A rope is wrapped around a circular pulley such that its acceleration is given by a = 10t (in m/s2,…

A:

Q: A wheel accelerates from rest to 2.53 rad/s at a rate of 4.64 rad/s2.   Through what angle (in…

A:

Q: A flywheel with a radius of 0.300 m starts from rest and accelerates with a constant angular…

A: Given: Radius, r = 0.3 mAngular acceleration = 0.8 rad/s2Find: (a) The magnitude of tangential…

Q: View Policies Current Attempt in Progress The angular momentum of& flywheel having a rotational…

A:

Q: 1. A circular saw blade 0.6 m in diameter starts from rest and accelerates with constant…

A:

Q: A wheel is rotating freely at angular speed 770 rev/min on a shaft whose rotational inertia is…

A: Given, the rotational inertia of the first wheel, I1 rotational inertial of second wheel, I2 = 3I1…

Q: Problem-1: A flywheel with a diameter of 1.20 m is rotating at an angular speed of 200 rev/min. (a)…

A:

Q: At a time of t=0 seconds the tires of a moving motorcycle are rotating with an unknown initial…

A: let initial angular speed = woα = 3 rev/s2α = 3 * 2π rad/s2α = 18.85 rad/s2t = 5 sec number of…

Q: An aircraft is coming in for a landing at 300 meters height when the propeller falls off. The…

A: Initial translational velocity of propeller, vo = 40 m/s Initial angular velocity of propeller = 20…

Q: A wheel is rotating freely at angular speed 800 rev/min on a shaft whose rotational inertia is…

A: a) Since no external torque acts on the system, the total angular momentum must be conserved. The…

Q: Suppose you start an antique car by exerting a force of 250 N on its crank for 0.34 s. Randomized…

A:

Q: A man stands on a rotating platform, with his arms stretched horizontally holding a 5 kg weight in…

A: Given:Mass of each weight = 5 kgMoment of inertia of man = 7.6 kg m2Angular speed = 30 rpmInitial…

Q: A fan blade is rotating with a constant angular acceleration of +12.9 rad/s2. At what point on the…

A: a=rα a- linear acceleration r- radius α- angular acceleration

Q: A rope of negligible mass is wound around a hollow cylinder of mass 3 kg and radius 40 cm. What is…

A: Given, Mass of the hollow cylinder, m = 3 kgRadius of the hollow cylinder, r = 40cm  = 0.4 mForce…

Q: A flywheel slows from 549.7 rev/min down to 314.7 rev/min while spinning through 40.9 revolutions.…

A: Given: The initial revolution per minutes is N1=549.7 rev/min, The final revolution per minutes is…

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.